First-Principles Density Limit Scaling in Tokamaks Based on Edge Turbulent Transport and Implications for ITER.

A first-principles scaling law, based on turbulent transport considerations, and a multimachine database of density limit discharges from the ASDEX Upgrade, JET, and TCV tokamaks, show that the increase of the boundary turbulent transport with the plasma collisionality sets the maximum density achievable in tokamaks. This scaling law shows a strong dependence on the heating power, therefore predicting for ITER a significantly larger safety margin than the Greenwald empirical scaling [Greenwald et al., Nucl. Fusion, 28, 2199 (1988)NUFUAU0029-551510.1088/0029-5515/28/12/009] in case of unintentional high-to-low confinement transition.

Clinical course of Coronavirus Disease-19 in patients with haematological malignancies is characterized by a longer time to respiratory deterioration compared to non-haematological ones: results from a case-control study.

BACKGROUND: We evaluated clinical features and risk factors for mortality in patients with haematological malignancies and COVID-19. METHODS: Retrospective, case-control (1:3) study in hospitalized patients with COVID-19. Cases were patients with haematological malignancies and COVID-19, controls had COVID-19 without haematological malignancies. Patients were matched for sex, age and time of hospitalization. RESULTS: Overall, 66 cases and 198 controls were included in the study. Cases had higher prior corticosteroid use, infection rates, thrombocytopenia and neutropenia and more likely received corticosteroids and antibiotics than controls. Cases had higher respiratory deterioration than controls (78.7% vs 65.5%, p = 0.04). Notably, 29% of cases developed respiratory worsening > 10 days after hospital admission, compared to only 5% in controls. Intensive Care Unit admission and mortality were higher in cases than in controls (27% vs 8%, p = 0.002, and 35% vs 10%, p < 0.001). At multivariable analysis, having haematological malignancy [OR4.76, p < 0.001], chronic corticosteroid therapy [OR3.65, p = 0.004], prior infections [OR57.7, p = 0.006], thrombocytopenia [OR3.03, p < 0.001] and neutropenia [OR31.1, p = 0.001], low albumin levels [OR3.1, p = 0.001] and ≥ 10 days from hospital admission to respiratory worsening [OR3.3, p = 0.002] were independently associated with mortality. In cases, neutropenia [OR3.1, p < 0.001], prior infections [OR7.7, p < 0.001], ≥ 10 days to respiratory worsening [OR4.1, p < 0.001], multiple myeloma [OR1.5, p = 0.044], the variation of the CT lung score during hospitalization [OR2.6, p = 0.006] and active treatment [OR 4.4, p < 0.001] all were associated with a worse outcome. CONCLUSION: An underlying haematological malignancy was associated with a worse clinical outcome in COVID-19 patients. A prolonged clinical monitoring is needed, since respiratory worsening may occur later during hospitalization.

Management of psychogenic non-epileptic seizures: a multidisciplinary approach.

The International League against Epilepsy (ILAE) proposed a diagnostic scheme for psychogenic non-epileptic seizure (PNES). The debate on ethical aspects of the diagnostic procedures is ongoing, the treatment is not standardized and management might differ according to age group. The objective was to reach an expert and stakeholder consensus on PNES management. A board comprising adult and child neurologists, neuropsychologists, psychiatrists, pharmacologists, experts in forensic medicine and bioethics as well as patients' representatives was formed. The board chose five main topics regarding PNES: diagnosis; ethical issues; psychiatric comorbidities; psychological treatment; and pharmacological treatment. After a systematic review of the literature, the board met in a consensus conference in Catanzaro (Italy). Further consultations using a model of Delphi panel were held. The global level of evidence for all topics was low. Even though most questions were formulated separately for children/adolescents and adults, no major age-related differences emerged. The board established that the approach to PNES diagnosis should comply with ILAE recommendations. Seizure induction was considered ethical, preferring the least invasive techniques. The board recommended looking carefully for mood disturbances, personality disorders and psychic trauma in persons with PNES and considering cognitive-behavioural therapy as a first-line psychological approach and pharmacological treatment to manage comorbid conditions, namely anxiety and depression. Psychogenic non-epileptic seizure management should be multidisciplinary. High-quality long-term studies are needed to standardize PNES management.

Theory of the Drift-Wave Instability at Arbitrary Collisionality.

A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such a model is based on the expansion of the distribution function on a Hermite-Laguerre polynomial basis to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, which, for example, may significantly impact quantitative predictions of transport. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, more efficient than standard finite difference methods.

Pre-industrial plague transmission is mediated by the synergistic effect of temperature and aridity index.

BACKGROUND: Although the linkage between climate change and plague transmission has been proposed in previous studies, the dominant approach has been to address the linkage with traditional statistical methods, while the possible non-linearity, non-stationarity and low frequency domain of the linkage has not been fully considered. We seek to address the above issue by investigating plague transmission in pre-industrial Europe (AD1347-1760) at both continental and country levels. METHODS: We apply Granger Causality Analysis to identify the casual relationship between climatic variables and plague outbreaks. We then apply Wavelet Analysis to explore the non-linear and non-stationary association between climate change and plague outbreaks. RESULTS: Our results show that 5-year lagged temperature and aridity index are the significant determinants of plague outbreaks in pre-industrial Europe. At the multi-decadal time scale, there are more frequent plague outbreaks in a cold and arid climate. The synergy of temperature and aridity index, rather than their individual effect, is more imperative in driving plague outbreaks, which is valid at both the continental and country levels. CONCLUSIONS: Plague outbreaks come after cold and dry spells. The multi-decadal climate variability is imperative in driving the cycles of plague outbreaks in pre-industrial Europe. The lagged and multi-decadal effect of climate change on plague outbreaks may be attributable to the complexity of ecological, social, or climate systems, through which climate exerts its influence on plague dynamics. These findings may contribute to improve our understanding of the epidemiology of plague and other rodent-borne or flea-borne infectious diseases in human history.

Work related stress and blood glucose levels.

AIM: The aim of the study is to evaluate work-related subjective stress in a group of workers on a major Italian company in the field of healthcare through the administration of a valid "questionnaire-tool indicator" (HSE Indicator Tool), and to analyze any correlation between stress levels taken from questionnaire scores and blood glucose values. MATERIAL AND METHODS: We studied a final sample consisting of 241 subjects with different tasks. The HSE questionnaire - made up of 35 items (divided into 7 organizational dimensions) with 5 possible answers - has been distributed to all the subjects in occasion of the health surveillance examinations provided by law. The questionnaire was then analyzed using its specific software to process the results related to the 7 dimensions. These results were compared using the Pearson correlation and multiple linear regression with the blood glucose values obtained from each subject. RESULTS: From the analysis of the data the following areas resulted critical, in other words linked to an intermediate (yellow area) or high (red area) condition of stress: sustain from managers, sustain from colleagues, quality of relationships and professional changes. A significant positive correlation (p <0.05) between the mean values of all critical areas and the concentrations of glucose values have been highlighted with the correlation index of Pearson. Multiple linear regression confirmed these findings, showing that the critical dimensions resulting from the questionnaire were the significant variables that can increase the levels of blood glucose. CONCLUSION: The preliminary results indicate that perceived work stress can be statistically associated with increased levels of blood glucose.

X-Point Effect on Plasma Blob Dynamics.

Plasma blob dynamics on the high-field side in the proximity of a magnetic field null (X point) is investigated in TORPEX. A significant acceleration of the blobs towards the X point is observed. Close to the X point the blobs break apart. The E×B drifts associated with the blobs are measured, isolating the background drift component from the fluctuating contribution of the blob internal potential dipole. The time evolution of the latter is consistent with the fast blob dynamics. An analytical model based on charge conservation is derived for the potential dipole, including ion polarization, diamagnetic, and parallel currents. In the vicinity of the X point, a crucial role in determining the blob motion is played by the decrease of the poloidal magnetic field intensity. This variation increases the connection length that short circuits the potential dipole of the blob. Good quantitative agreement is found between the model and the experimental data in the initial accelerating phase of the blob dynamics.

Polarity dependent strongly inhomogeneous In-incorporation in GaN nanocolumns.

In this work, GaN/InGaN/GaN nanocolumns (NCs) have been grown by molecular beam epitaxy. Selective area growth (SAG) and self-organized growth (SOG) were performed simultaneously in patterned and unpatterned regions of the same substrate, respectively. The resulting structures show different tip morphologies and structural properties due to the different polarity along the growth direction, namely Ga-polar with r-plane faceted tips for the SAG NCs and N-polar with c-plane top facet for the SOG ones. When growing Ga-polar GaN/InGaN NCs, no indium is incorporated at a substrate temperature of [Formula: see text]°C. Rather, indium incorporation takes place under the same growth conditions on the N-polar NCs. The In-incorporation is investigated by means of nano x-ray fluorescence and diffraction, high-angle annular dark-field scanning transmission electron microscopy and high-resolution transmission electron microscopy.

Work-related stress in healthcare workers.

BACKGROUND: In the assessment of work-related stress it is crucial to find the factors that generate and increase it in order to identify categories of individuals at risk, to plan interventions for prevention, elimination or reduction of risk. The aim of the study is to assess the subjective stress in 68 workers of a large Italian company dealing with human health, through the use of a questionnaire-indicating tool, elaborated by the Italian National Institute for insurance against accidents at work (INAIL) and developed by the Health and Safety Executive (HSE). METHODS: We studied a final sample of 68 individuals (34 drivers/rescuers and 34 video display unit (VDU) operators). The questionnaire consists of 35 items (divided into six areas) with five possible answers each, that cover working conditions considered potential causes of stress. RESULTS: The drivers/rescuers had a better performance than the VDU operators, especially in the areas "demand", "relationships" and "role". We compared men and women in the two groups, finding that, in VDU operators, women had a better performance than men in all areas, except "role" and "changes", in which the overall scores were the same in men and women. In the drivers/rescuers women showed more critical scores in the items "relationships" and "change". CONCLUSION: The results show that: the questionnaire-indicating tool is useful, with a demonstrated effectiveness for the occupational physician during the visits and proven validity; additional future efforts should focus on understanding the psycho-social, organizational and individual problems related to stress and the consequent implementation of preventive measures.

Diagnostic accuracy and interobserver agreement of Quasistatic Ultrasound Elastography in the diagnosis of thyroid nodules.

PURPOSE: To assess the best technique and the diagnostic accuracy of Quasistatic Ultrasound Elastography (QUE) in thyroid nodules. Interobserver agreement was also evaluated. MATERIALS AND METHODS: A preliminary study of 50 patients with 54 thyroid nodules was performed with quantitative software in order to define the best cut-off value of different imaging methods. All patients underwent total thyroidectomy and histopathology findings served as the standard of reference. Thereafter, 154 nodules in 137 consecutive patients were prospectively evaluated by three operators. Findings at fine-needle aspiration cytology and histopathology (N = 60) served as the standard of reference. RESULTS: The most accurate technique was the axial peri-intranodular measurement method which achieved an area under the ROC curve of 0.961 (95 %CI 0.848 - 1.00) and had an optimal cut-off value of 3.00. QUE in the differentiation of thyroid nodules showed for operator 1: sensitivity 90 % (95 %CI 73.5 - 97.9 %), specificity 92.7 % (95 %CI 86.7 - 96.6 %), LR+ 12.40 (6.54 - 23.50), LR- 0.11 (0.04 - 0.32) and accuracy 91.4 % (95 %CI 85.4 - 97.3 %); for operator 2: sensitivity 86.7 % (95 %CI 69.3 - 96.2 %), specificity 87.1 % (95 %CI 79.9 - 92.4 %), LR+ 6.72 (4.16 - 10.80), LR- 0.15 (0.06 - 0.38) and accuracy 86.9 % (95 %CI 80.0 - 93.7 %); for operator 3: sensitivity 80 % (95 %CI 61.4 - 92.3 %), specificity 83.9 % (95 %CI 76.2 - 89.9 %), LR+ 4.96 (3.20 - 7.70), LR- 0.24 (0.12 - 0.49) and accuracy 81.9 % (95 %CI 74.0 - 89.9 %). Interobserver agreement values between operator 1 and operator 2 (k = 0.79) (p < 0.05, 95 %CI 0.684 - 0.904), between operator 1 and operator 3 (k = 0.73, 95 %CI: 0.607 - 0.854) and between operator 2 and operator 3 (k = 0.71, 95 %CI: 0.584 - 0.835) were significant. CONCLUSION: QUE provides accurate quantitative evaluation of thyroid nodules with low interobserver variability.

Evolution of continuing medical education in radiology: on-site vs remote.

OBJECTIVES: To assess the evolution of continuing medical education/continuous professional development (CME/CPD) in European Radiology with a particular focus on on-site (live educational events, LEE) vs remote (electronic learning materials, ELM) participation and the impact of the COVID-19 pandemic. METHODS: Results related to CME/CPD of surveys conducted by the Accreditation Council of Imaging (ACI) between 2017 and 2020 are summarized. Additional insights from the survey conducted in spring 2023, exploring online education trends since the start of the COVID-19 pandemic, are presented. Finally, the results of the surveys are correlated with the total number of CME/CPD applications received annually from 2018 to 2022. RESULTS: Pre-pandemic, 90% of European radiologists supported mandatory CME and unified CME/CPD-system. A trend among younger radiologists towards ELM was observed. Only 20% of employers fully endorsed CME/CPD. In 2020, LEE attendance dropped significantly (95.5-33%), with a simultaneous surge (33-58%) in time spent on ELM. Post-pandemic, the majority (52%) of LEE attendees participated in 1-5 events, whereas the majority (38%) of attendees of live-streamed events participated in 6-20 meetings. Content remains a priority of respondents in all formats: 79% for online, 75% for on-site, and 74% for on-demand. While the assessed quality of LEE remained at the same level (no change (36%) or good/very good (48%)), a considerably higher percentage of respondents noticed the quality of live-streamed events was good/very good (83%). CONCLUSION: The majority of European radiologists support mandatory CME and a unified CME/CPD system. Despite the post-pandemic resurgence in LEE, ELM and hybrid events are predicted to gain further prominence. CRITICAL RELEVANCE STATEMENT: The CME/CPD system dynamically adapts to evolving professional, technical, and environmental circumstances, with human interaction gaining heightened significance post-COVID-19. KEY POINTS: Professionals expressed a desire to return to on-site participation, highlighting its desirability for social interaction. Electronic learning materials are poised for continued growth, particularly among younger generations. Professionals expressed a desire towards a unified CME/CPD system in Europe.

How autistic women are aware of their body and take care of their health? Focus on menstruation cycles and gynecological care.

Objective: The combination of femininity and inequality is an increasingly studied in the field of social medicine, even more if the girls or women in question experience conditions of disability or neurodivergence. The onset of menstruation, menarche, constitutes a significant and transformative event in women's lives comprising a true and proper watershed in mental and reproductive health and sexual welfare. The onset of menstruation has a profound effect not just for girls but, in the case of disabled girls, for the whole family. In this scoping review, we have researched the literature in studies which consider the issue of menstruation and autism. The works in scientific literature have been selected which, in the last 5 years, investigated the issue of menstrua-tion for autistic girls and/or women. Results: Selected studies, although few in number, have all equally evidenced the total lack of in-depth understanding of this theme, notwithstanding the fact that females, girls and women with autism would benefit from specialized services if these existed. Families, girls and women involved, moreover, although not experiencing menstruation per se in a negative light, note a deterioration in their condition particularly in respect of sensorial perception and the intensification of anxious depressive instances. This work highlights the need to deepen the aspects concerning the period in autistic girls/women, up to now the question appears to have been little studied, investigated in an uneven way. We propose a social medical program to improve sexual-affective knowledge and body awareness in autistic people.

Forensic aspects analyzed in a case series of femicides.

Background: Gender-based violence against women and its lethal outcome, femicide, represent important issues around the world. Although governments have passed specific laws, official data on gender-related violence and femicide are often absent and/or incomplete, difficult to access, rarely updated, contested and underestimated due to stigma, victim blaming or issues of legal interpretation. Femicide is an intentional killing in which a woman is murdered by an individual for misogyny and gender-related reasons. The most common type is in fact intimate femicide, which occurs when the murdered woman and the aggressor have an intimate, family, cohabitation or similar relationship. Case series: We analyzed 15 cases of femicide for which crime scene investigation and autopsy were carried out. For each case, a psychological autopsy was carried out and the means used to determine the individual's death were analysed. The circumstances in which the murder occurred were also examined. Discussion: Overkilling was evidenced in all cases analyzed. Over-killing in forensic medicine is known as a specific type of homicide in which the number of injuries inflicted far exceeds the number of injuries required to kill the victim. Therefore, the medico-legal management of the cases examined is complicated due to the multiple lesions present on the corpse on the victims which make difficult: 1) the reconstruction of the dynamics of the crime 2) the number of blows inflicted 3) the analysis of the fatal blow 4) the imputability of the offender.

A giant hemorragic adrenal pseudocyst: contrast-enhanced examination (CEUS) and computed tomography (CT) features.

INTRODUCTION: Adrenal pseudocysts are rare cystic masses that arise from the adrenal gland and which are usually non-functional and asymptomatic. We report a rare case of a giant hemorrhagic adrenal pseudocyst presenting with abdominal pain and we discussed the radiological features. PRESENTATION OF CASE: A 75 year old man was admitted with acute abdominal pain post mild-trauma. Computed tomography (CT) of abdomen revealed a hemorrhagic mass measuring 18 cm located in the right suprarenal region, displacing the right kidney and liver. He subsequently underwent to contrast enhancement ultrasound (CEUS), which showed features suggestive for hemorrhagic adrenal pseudocyst. A complete endocrine working didn't show any hormonal hypersecretion. The patient underwent laparotomy and right adrenal mass was excised. Histological examination revealed giant hemorrhagic adrenal pseudocyst. The abdominal pain resolved after surgery. CONCLUSIONS: to the best our knowledge, this is the first case studied with CEUS reported in the literature.

[Reimbursed health expenditures during the last year of life, in France, in the year 2008]. / Les dépenses de soins remboursés durant la dernière année de vie, en 2008, en France.

BACKGROUND: To measure the reimbursed health expenditures in the last year of life and the proportion it represents in total reimbursement costs in 2008, to analyse the structure of such expenditures and to identify costs by cause of death. METHODS: Data were obtained from the French national insurance information system (SNIIRAM). Data from the national hospital discharge database were linked to the outpatient reimbursement database for patients covered by the general health insurance scheme (n=49 million persons). The cost of the last year of life was calculated for the exhaustive population (361,328 deaths in 2008). The supposed cause of death was mainly derived from the primary diagnosis of the last hospital stay during which the patient died. RESULTS: The average reimbursed expenses during the last year of life were estimated at 22,000 € per person in 2008, with 12,500 € accounting for public hospital costs. Reimbursed health expenditures varied according to different medical causes of death: 52,300 € for HIV disease and about 40,000 € for tumors. A negative effect of age on the expenditure during the last year of life was observed. Health care spending increased with shorter time before death, the last month of life corresponding to 28% of reimbursed expenditures during the last year of life. Health care use in the last year of life represented 10.5% of the total health expenditures in 2008. CONCLUSION: This study found results similar to those observed in the past or in other countries. Our results show in particular that the weight of health expenditures during the last year of life on total health expenditures remains stable over the years.

Informed consent and compulsory treatment on individuals with severe eating disorders: a bio-ethical and juridical problem.

Background: The problem concerning the activation of the measure of Compulsory Health Treatment (CHT) for subjects suffering from Eating Disorders (ED) represents a legal paradox that places health professionals in the position of frequently doubting the real usefulness of the measure within the hospital context. This issue is mainly related to anorexia nervosa, which puts the subject in a higher life-threatening situation than other EDs. Method and materials: To outline the current state of the art, the most recent national and international scientific publications concerning informed consent and CHT in EDs were searched. In addition, Italian rulings in various degrees of judgement were evaluated with the suggestion of a possible resolution of these issues. Results: The analysis of the literature showed that although a multitude of psychometric instruments has been created to identify the ability to give informed consent, there are still not all the elements necessary to identify the actual degree of disease awareness of ED subjects. An important factor could be the exploration of the person's interception, which has been seen to be very high in individuals with AN who are known not to experience the sensation of hunger. At present, reviews of the bibliography and judgments have shown that the measurement of CHT remains crucial if it is intended as a life-saving treatment. However, it is evident that in terms of BMI, CHT is not a definitive intervention and therefore the adoption of this practice is necessary with extreme caution taking into account the person's actual ability to consent. Conclusions: Future studies will have the task of determining the psychic factors necessary to better understand the state of the person in his or her physical and mental wholeness, giving due weight to these characteristics and orienting knowledge in a practical sense to more profitable direct treatment for individuals with ED.

Parents-children co-regulation as therapeutic variable and target in autism spectrum disorders. From observation of drive to need of cooperative parent-mediated therapy.

Abstract: Autism spectrum disorders (ASDs) belong to the category of neurodevelopmental disorders. ASD emerges in early childhood and involves deficits in communication, language, behavioural inflexibility and fixity, and sensorial neurodivergent perception. ASDs have a biological pathogenesis related to genetic and epigenetic factors. Additionally, research has shown that starting from childhood, autistic persons could find emotional regulation challenging during communication with caregivers. The importance of emotional co-regulation has always been under-lined in psychology, starting with Freud who introduced the concept of the Compassionate Other. Emotional difficulties are grasped immediately and almost instinctively by parents, who try to modulate their approach to the child's needs from the very beginning. This paper seeks to highlight the importance of emotional co-regulation as a wake-up call-in developmental trajectories that present peculiarities or anomalies. It also emphasizes the significance of emotional co-regulation as a useful tool for intervening in the dysfun-ctionality of such trajectories. This intervention aims to directly involve parents in treatment, as seen in Cooperative parent-mediated therapy. This approach is crucial for facilitating the evolution of the cognitive framework while utilizing this target. This article aims to review the most recent literature on co-regulation after explaining the theoretical framework that gave rise to this concept. It's now well established the importance of adopting a develop-mental approach that starts from the bodily dimension as the basis for the relationship with caregivers, pairs, and unfamiliar people. It is from this basis that starts the affective, emotional, and cognitive construction of the internal and external world of the child. This scoping review takes into account the most recent evidence on co-regulation and autism, emphasizing the importance of this process in diagnostic and therapeutic settings.

Expression profiling of extramedullary acute myeloid leukemia suggests involvement of epithelial-mesenchymal transition pathways.

Extramedullary (EM) colonization is a rare complication of acute myeloid leukemia (AML), occurring in about 10% of patients, but the processes underlying tissue invasion are not entirely characterized. Through the application of RNAseq technology, we examined the transcriptome profile of 13 AMLs, 9 of whom presented an EM localization. Our analysis revealed significant deregulation within the extracellular matrix (ECM)-receptor interaction and focal-adhesion pathways, specifically in the EM sites. The transcription factor TWIST1, which is known to impact on cancer invasion by dysregulating epithelial-mesenchymal-transition (EMT) processes, was significantly upregulated in EM-AML. To test the functional impact of TWIST1 overexpression, we treated OCI-AML3s with TWIST1-siRNA or metformin, a drug known to inhibit tumor progression in cancer models. After 48 h, we showed downregulation of TWIST1, and of the EMT-related genes FN1 and SNAI2. This was associated with significant impairment of migration and invasion processes by Boyden chamber assays. Our study shed light on the molecular mechanisms associated with EM tissue invasion in AML, and on the ability of metformin to interfere with key players of this process. TWIST1 may configure as candidate marker of EM-AML progression, and inhibition of EMT-pathways may represent an innovative therapeutic intervention to prevent or treat this complication.

Nondiffusive suprathermal ion transport in simple magnetized toroidal plasmas.

We investigate suprathermal ion dynamics in simple magnetized toroidal plasmas in the presence of electrostatic turbulence driven by the ideal interchange instability. Turbulent fields from fluid simulations are used in the nonrelativistic equation of ion motion to compute suprathermal tracer ion trajectories. Suprathermal ion dispersion starts with a brief ballistic phase, during which particles do not interact with the plasma, followed by a turbulence interaction phase. In this one simple system, we observe the entire spectrum of suprathermal ion dynamics, from subdiffusion to superdiffusion, depending on beam energy and turbulence amplitude. We estimate the duration of the ballistic phase and identify basic mechanisms during the interaction phase that determine the dependencies of the character of suprathermal ion dispersion upon the beam energy and turbulence fluctuation amplitude.