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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Coarse-Graining and Master Equation in a Reversible and Conservative System

Discontinuity, Nonlinearity, and Complexity 4(2) (2016) 199--208 | DOI:10.5890/DNC.2016.06.007

Felipe Urbina; Sergio Rica; Enrique Tirapegui

$^{1}$ Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén,Santiago, Chile.

$^{2}$ Departamento de Física, Universidad de Chile, Avda. Blanco Encalada 2002, Santiago, Chile.

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Abstract

A coarse graining process is applied to a Ising like model with a conservative and a reversible dynamics. It is shown that, under some assumptions, this coarse graining leads to a tractable probability transfer matrix of finite size which provides a master equation for a coarse graining probability distribution. Some examples are discussed.

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