Entropy chaos and Bose-Einstein condensation

DOI10.1007/s10955-017-1820-0zbMath1376.82025arXiv1512.04729OpenAlexW2963236240MaRDI QIDQ2410483

Stefania Ugolini, Francesco C. De Vecchi, Sergio A. Albeverio

Publication date: 18 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04729

zbMATH Keywords

Bose-Einstein condensationstochastic mechanicsKac's chaosGross-Pitaevskii scaling limitinteracting Nelson diffusionsentropy chaosconvergence of probability measures on path space

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stopping times; optimal stopping problems; gambling theory (60G40) Diffusion processes (60J60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Stochastic quantization (81S20)

Related Items (4)

Mean-Field Limit for a Class of Stochastic Ergodic Control Problems ⋮ Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations ⋮ Strong Kac’s chaos in the mean-field Bose–Einstein Condensation ⋮ Elliptic stochastic quantization

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