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28 March 2024
 
  » arxiv » cond-mat/0004277

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Continuous time dynamics of the Thermal Minority Game
Juan P. Garrahan ; Esteban Moro ; David Sherrington ;
Date 17 Apr 2000
Journal Phys. Rev. E 62, R9 (2000)
Subject Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn
AbstractWe study the continuous time dynamics of the Thermal Minority Game. We find that the dynamical equations of the model reduce to a set of stochastic differential equations for an interacting disordered system with non-trivial random diffusion. This is the simplest microscopic description which accounts for all the features of the system. Within this framework, we study the phase structure of the model and find that its macroscopic properties strongly depend on the initial conditions.
Source arXiv, cond-mat/0004277
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