The high temperature crossover for general 2D Coulomb gases
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Publication:2315145
DOI10.1007/s10955-019-02276-6zbMath1482.82044arXiv1808.00319OpenAlexW2885174015MaRDI QIDQ2315145
Publication date: 1 August 2019
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00319
Random matrices (probabilistic aspects) (60B20) Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) Mittag-Leffler functions and generalizations (33E12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Random matrices (algebraic aspects) (15B52) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) PDEs in connection with statistical mechanics (35Q82)
Related Items (14)
High–low temperature dualities for the classical β-ensembles ⋮ Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality ⋮ Matrix addition and the Dunkl transform at high temperature ⋮ Edge scaling limit of the spectral radius for random normal matrix ensembles at hard edge ⋮ Poisson statistics for beta ensembles on the real line at high temperature ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature ⋮ The random normal matrix model: insertion of a point charge ⋮ Macroscopic and edge behavior of a planar jellium ⋮ CLT for circular beta-ensembles at high temperature ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry ⋮ Poisson statistics for Gibbs measures at high temperature ⋮ A localization theorem for the planar Coulomb gas in an external field ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain
Uses Software
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