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Fokker–Planck equations for nucleation processes revisited

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  • Reguera, David
  • Rubı́, J.M
  • Pérez-Madrid, A

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.

Suggested Citation

  • Reguera, David & Rubı́, J.M & Pérez-Madrid, A, 1998. "Fokker–Planck equations for nucleation processes revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 259(1), pages 10-23.
    • Handle: RePEc:eee:phsmap:v:259:y:1998:i:1:p:10-23
    DOI: 10.1016/S0378-4371(98)00259-3
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    1. anonymous, 1996. "For here or to go?," Inside the Vault, Federal Reserve Bank of St. Louis, issue Spring.
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    1. Arango-Restrepo, A. & Rubi, J.M. & Barragán, D., 2018. "Kinetics and energetics of chemical reactions through intermediate states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 86-96.

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