Geometrical Derivation of Equilibrium Distributions in some Stochastic Systems
Adaptation and Self-Organizing Systems
2012-08-03 v1 Probability
Abstract
In this chapter, we present a straightforward geometrical argument that in a certain way recalls us the equivalence between the canonical and the microcanonical ensembles in the thermodynamic limit for the particular context of physical sciences. In the more general context of homogeneous multi-agent systems, we conclude by highlighting the statistical equivalence of the volume-based and surface-based calculations in this type of systems.
Keywords
Cite
@article{arxiv.1208.0207,
title = {Geometrical Derivation of Equilibrium Distributions in some Stochastic Systems},
author = {Ricardo Lopez-Ruiz and Jaime Sanudo},
journal= {arXiv preprint arXiv:1208.0207},
year = {2012}
}
Comments
18 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:0708.3761, arXiv:1001.3327, arXiv:0708.1866; Chapter to appear in InTech Books (2012)