Fokker–Planck equations for nucleation processes revisited

David Reguera, J.m Rubı́ and A Pérez-Madrid

Physica A: Statistical Mechanics and its Applications, 1998, vol. 259, issue 1, 10-23

Abstract: We present a new approach to analyze homogeneous nucleation based on non-equilibrium thermodynamics. The starting point is the formulation of a Gibbs equation for the variations of the entropy of the system, whose state is characterized by an internal coordinate or degree of freedom. By applying the method of non-equilibrium thermodynamics we then obtain the entropy production corresponding to a diffusion process in the internal space. The linear laws together with the continuity equation lead to a kinetic equation of the Fokker–Planck type.By choosing properly the degree of freedom we are able to obtain a new kinetic equation for a global crystallization order parameter (used in recent simulations), and also we recover some of the existing equations. The consistency of the scheme we propose is proved in the quasi-stationary case. Finally, we also outline the way in which our formalism could be extended to more general situations.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:259:y:1998:i:1:p:10-23

DOI: 10.1016/S0378-4371(98)00259-3

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