Threshold-induced phase transition in kinetic exchange models

Ghosh, Asim ; Basu, Urna ; Chakraborti, Anirban ; Chakrabarti, Bikas K. (2011) Threshold-induced phase transition in kinetic exchange models Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 83 . 061130_1-061130_6. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v83/i6/e061130

Related URL: http://dx.doi.org/10.1103/PhysRevE.83.061130

Abstract

We study an ideal-gas-like model where the particles exchange energy stochastically, through energy-conserving scattering processes, which take place if and only if at least one of the two particles has energy below a certain energy threshold (interactions are initiated by such low-energy particles). This model has an intriguing phase transition in the sense that there is a critical value of the energy threshold below which the number of particles in the steady state goes to zero, and above which the average number of particles in the steady state is nonzero. This phase transition is associated with standard features like "critical slowing down" and nontrivial values of some critical exponents characterizing the variation of thermodynamic quantities near the threshold energy. The features are exhibited not only in the mean-field version but also in the lattice versions.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
Keywords:Econophysics; Sociophysics; Kinetic Theory; Gibbs Distribution; Phase Transition
ID Code:93108
Deposited On:12 Jun 2012 07:24
Last Modified:19 May 2016 06:15

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