# Kramers-like Picture for Crystal Nucleation

Source: [Kramers-like Picture for Crystal Nucleation](<https://www.sota2.com/research/paper/68fa34251e209131ce8962bd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:29:17.214Z

Authors: D. Reguera, J.M. Rubi, A. Perez-Madrid

Published: 1998-07-21T10:08:29.000Z

## Abstract

We introduce a new scheme to analyze the kinetics of homogeneous nucleation in terms of a global order parameter. Our approach is based on the application of the internal degrees of freedom formalism to derive a kinetic equation of the Kramers type formulated for a global reaction coordinate. We provide explicit expressions for the quantities and coefficients involved in the process, suitable for simulation.  In addition, our picture recovers in the quasi-stationary case the transition rate obtained from the method of reactive flux. The equation we present may provide a link between theoretical approaches to homogeneous nucleation (generally formulated in terms of a kinetic equation of the Fokker-Planck type) and simulations (which mostly employ linear response theory). In this context, our scheme provides a theoretical framework to interpret and extend the results obtained in recent simulations.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9807285>)

[PDF](<https://arxiv.org/pdf/cond-mat/9807285.pdf>)