2004/08/16 by Igor Loutsenko, Loutsenko, Igor
Economics, Econometrics and Finance · Mathematics · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Other Condensed Matter (cond-mat.other) #Probability (math.PR) #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.cond-mat/0408364
openalex publication_date 2004/08/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A new type of Coulomb gas is defined, consisting of arbitrary numbers of point charges of two species executing Brownian motions under the influence of their mutual electrostatic repulsion. Being a generalization of a model of identical particles introduced by Dyson as a dynamical system describing non-equilibrium state of various random matrix ensembles, our system gives an exact mathematical description of the Brownian motion of charges of magnitudes Q1 and Q2 , such that βQ1 Q2 = 1 on the line or circle, where β is an inverse temperature of the gas.