Tuesday, June 25, 2013

1306.5591 (Sayani Chatterjee et al.)

Why conserved-mass transport processes often exhibit gamma-like

Sayani Chatterjee, Punyabrata Pradhan, P. K. Mohanty
We analyze paradigmatic nonequilibrium processes involving transport of a conserved quantity such as mass. We show that the steady-state probability distribution $P_v(m)$ of mass $m$ in a subsystem of size $v$ is uniquely determined from the dependence of its variance on mean mass, provided that the joint mass distribution of subsystems is factorized in the thermodynamic limit. When the variance is proportional to square of mean mass, which is often the case for models with mass-conserving linear-mixing dynamics, $P_v(m)$ is described by a single parameter family of gamma distribution.
View original: http://arxiv.org/abs/1306.5591

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