Networks of coadjoint orbits: from geometric to statistical mechanics

DOI10.3934/jgm.2019023zbMath1453.82004arXiv1804.11139OpenAlexW2986231309MaRDI QIDQ2303563

Alexis Arnaudon, So Takao

Publication date: 4 March 2020

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.11139

zbMATH Keywords

Lie groupsphase transitionLangevin dynamicsstatistical mechanicsEuler-Poincaré reductionsemi-direct product reduction

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

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