# Kinetics, Hydrodynamics and Stochastodynamics of Cellular Structure Coarsening

Source: [Kinetics, Hydrodynamics and Stochastodynamics of Cellular Structure Coarsening](<https://www.sota2.com/research/paper/68fa31bd1e209131ce881c6c>)

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

Data updated: 2025-10-24T19:04:25.415Z

Authors: S. B. Goryachev

Published: 1997-10-14T13:04:38.000Z

## Abstract

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and macroscopic levels of approach are distinguished. At the microscopic level the cellular structure is describe by a probability distribution function in a phase space of cell coordinates and of cell sizes. A kinetic equation for the function is written and a development to a hydrodynamic equation of a mesoscopic cell medium is realised. It has the form of a diffusion-reaction equation with a negative "diffusion" coefficient and with a cell interface density playing the role of concentration. Its analysis reveals a new effect of macroscopic patterning in the cell medium: existence of space-correlated stochastic fluctuations of the cell interface density.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9710131>)

[PDF](<https://arxiv.org/pdf/cond-mat/9710131.pdf>)