Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: II. The Charged System and the Two-component Burgers Equations

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dc.creatorArndt, Peter F.
dc.creatorRittenberg, Vladimir
dc.date2000-12-27
dc.date2001-01-19
dc.date.accessioned2026-07-07T02:39:54Z
dc.date.available2026-07-07T02:39:54Z
dc.descriptionWe further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent particles may swap positions. We extend the analysis of this model to the case when the densities of the charged particles are not the same. The mean-field equations describing the model are coupled nonlinear differential equations that we call the two-component Burgers equations. We find roundabout weak solutions of these equations. These solutions are used to describe the properties of the stationary states of the stochastic model. The values of the currents and of various two-point correlation functions obtained from Monte-Carlo simulations are compared with the mean-field results. Like in the case of equal densities, one finds a pure phase, a mixed phase and a disordered phase.
dc.identifierhttps://arxiv.org/abs/cond-mat/0012480
dc.identifierhttp://arxiv.org/abs/cond-mat/0012480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17197
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subjectCellular Automata and Lattice Gases
dc.subjectPattern Formation and Solitons
dc.titleSpontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: II. The Charged System and the Two-component Burgers Equations
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