Charge Fluctuations on a Flat Interface between Dielectric and Electrolyte or Dense Plasma.

An interface between a dielectric and a medium containing charge carriers with moderate mobility is considered. In equilibrium, stochastic fluxes of positive and negative particles toward the surface have equal average current density j0, and we suppose that the surface absorbs all falling charges. All over the surface, this results in the emergence of oppositely charged spots of various sizes D fluctuating and interacting with each other. Fourier expansion reduces this collection of interacting spots to the ensemble of independently fluctuating charge density waves. An exact solution of the Poisson equation for a single wave on a flat surface was obtained and provided strict proof that a fluctuating electric field is quite strong just above each charge spot but diminishes exponentially with the distance from the plane. The lifetime τ of a charge spot is inversely proportional to the density j0 of the stochastic current while proportional to j0τ fluctuation's amplitudes independent of j0. The fluctuation's parameter dependence on the charge spot's size D can vary according to the conducting medium properties.

Microscopic Nature of the First-Order Field-Induced Phase Transition in the Strongly Anisotropic Ferrimagnet HoFe_{5}Al_{7}.

We report on x-ray magnetic circular dichroism experiments in pulsed fields up to 30 T to follow the rotations of individual magnetic moments through the field-induced phase transition in the ferrimagnet HoFe_{5}Al_{7}. Near the ground state, we observe simultaneous stepwise rotations of the Ho and Fe moments and explain them using a two-sublattice model for an anisotropic ferrimagnet with weak intersublattice exchange interactions. Near the compensation point, we find two phase transitions. The additional magnetization jump reflects the fact that the Ho moment is no longer rigid as the applied field acts against the intersublattice exchange field.

The influence of filament elasticity on transients after sudden alteration of length of muscle or load.

The duration of phase 2 of a transient after sudden reduction of the length of a muscle or a load on it decreases rapidly with increasing amplitude of the jump. This is mainly due to the increasing role of the superfast relaxation processes with a characteristic time of about 0.1 ms. Mainly in order to explain this effect, Huxley and Simmons proposed their famous model of force generation in 1971. The present paper examines the effect of elasticity of filaments on relaxation processes. It is shown that if the filaments are not perfectly elastic, the superfast tension transient may result from a delay of redistribution of stresses within actin and/or myosin filaments at the beginning of phase 2. Corresponding redistribution of deformations within the actin filaments leads to non-uniform shifts of the attached myosin heads and changes in the X-ray diffraction pattern. Additionally, we discuss a change in the experimental technique that allows suppression of the elastic vibrations that obscure the contributions of other sources to the superfast tension transient.

An enhanced model of cross-bridge operation with internal elasticity.

A recent study has shown (as reported by Rosenfeld, Eur Biophys J 41:733-753, 2012) that an apparatus consisting of a cycling pump, a lever, and charged beads is able to generate force in accordance with Hill's force-velocity relation. Here, we show that a spring integrated into this microscopic model of a myosin motor allows reproducing, in general terms, the muscle fiber responses to sudden changes in fiber length. The time course of relaxation is governed by the same hindering force that determines the maximal value of muscle contraction velocity. Any single one of the exceptionally simple parts of the proposed model device corresponds to some element of the real myosin head and interacts with any other part in accordance with the laws of Newton, Coulomb, and Hooke. In essence, the model demonstrates that Coulomb repulsion should be understood as the physical source of muscle force. Accordingly, some fictitious master equation with ad hoc postulated rate constants is not needed to explain the essential mechanical characteristics of a muscle. The current model still contains no mechanism that could account for superfast relaxations within periods of about 0.1 ms.

The interrelation between mechanical characteristics of contracting muscle, cross-bridge internal structure, and the mechanism of chemomechanical energy transduction.

The cross-bridge working stroke is regarded as a continuous (without jumps) change of myosin head internal state under the action of a force exerted within the nucleotide-binding site. Involvement of a concept of continuous cross-bridge conformation enables discussion of the nature of the force propelling muscle, and the Coulomb repulsion of like-charged adenosine triphosphate (ATP) fragments ADP(2-) and P (i) (2-) can quite naturally be considered as the source of this force. Two entirely different types of working stroke termination are considered. Along with the fluctuation mechanism, which controls the working stroke duration t (w) at isometric contraction, another interrupt mechanism is initially taken into account. It is triggered when the lever arm shift amounts to the maximal value S ≈ 11 nm, the back door opens, and P(i) crashes out. As a result, t (w) becomes inversely proportional to the velocity v of sliding filaments t (w) ≈ S/v for a wide range of values of v. Principal features of the experimentally observed dependences of force, efficiency, and rate of heat production on velocity and ATP concentration can then be reproduced by fitting a single parameter: the velocity-independent time span t (r) between the termination of the last and beginning of the next working stroke. v becomes the principal variable of the model, and the muscle force changes under external load are determined by variations in v rather than in the tension of filaments. The Boltzmann equation for an ensemble of cross-bridges is obtained, and some collective effects are discussed.