A micro-macro variational formula for the free energy of a many-body system with unbounded marks
DOI10.1214/23-ejp1014zbMath1530.60029OpenAlexW4387942830MaRDI QIDQ6177570
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Publication date: 17 January 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/23-ejp1014
free energylarge deviationsBose-Einstein condensationvariational formulaemergence of macroscopic structuresempirical stationary measureinteracting random point systemspolydispersed droplet configurationsymmetrised trace
Brownian motion (60J65) Large deviations (60F10) Path integrals in quantum mechanics (81S40) Quantum equilibrium statistical mechanics (general) (82B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Gibbs measures and phase transitions.
- A canonical ensemble approach to the fermion/boson random point processes and its applications
- Large deviations and maximum entropy principle for interacting random fields on \(\mathbb{Z}^ d\)
- Large deviations and the maximum entropy principle for marked point random fields
- Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction
- Thermodynamics of a hierarchical mixture of cubes
- Marked Gibbs point processes with unbounded interaction: an existence result
- A path-integral analysis of interacting Bose gases and loop gases
- Gaussian random permutation and the boson point process
- A variational formula for the free energy of an interacting many-particle system
- On the Position Distribution of the Ideal Bose Gas
- Feynman cycles in the Bose gas
- On the construction of point processes in statistical mechanics
- Atomic Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition in Helium
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