Nucleation theorems applied to the Ising model.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
; 59(6): 6483-8, 1999 Jun.
Article
en En
| MEDLINE
| ID: mdl-11969633
ABSTRACT
We use Monte Carlo simulations to study a single cluster of "up" spins in a sea of "down" spins in the three-dimensional Ising model. We evaluate the growth and decay rates for clusters of different sizes, identify the critical size for which these rates are equal, and obtain the internal energy of the critical size cluster. The results of the simulations at different temperatures and magnetic fields are used together with the first and second nucleation theorems to predict how the cluster nucleation rate changes when the external magnetic field and the temperature are changed. Our results are in agreement with literature values, but our method requires significantly less computational effort than the simulations reported earlier and avoids the difficult evaluation of free energies.
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Colección:
01-internacional
Base de datos:
MEDLINE
Tipo de estudio:
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
Asunto de la revista:
MEDICINA
Año:
1999
Tipo del documento:
Article
País de afiliación:
Reino Unido