The geometric theory of phase transitions

DOI10.1088/1751-8121/ac717dOpenAlexW4280507352MaRDI QIDQ5053924

Loris Di Cairano

Publication date: 29 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04552

zbMATH Keywords

thermodynamic limitphase transitionsHamiltonian systemsmicrocanonical ensembledifferential geometrylattice field theory

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (1)

Topological theory of phase transitions

Cites Work

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• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• Hamiltonian chaos and differential geometry of configuration space-time
• Microcanonical entropy for classical systems
• On the origin of phase transitions in the absence of symmetry-breaking
• On the mean-field spherical model
• Phase transitions and configuration space topology
• Topological origin of phase transitions in the absence of critical points of the energy landscape
• Morse Theory. (AM-51)
• Hamiltonian dynamics of the two-dimensional lattice model
• A geometric, dynamical approach to thermodynamics
• A microcanonical entropy correcting finite-size effects in small systems
• Coherent Riemannian-geometric description of Hamiltonian order and chaos with Jacobi metric
• Exact microcanonical statistical analysis of transition behavior in Ising chains and strips
• Geometrical and topological study of the Kosterlitz–Thouless phase transition in the XY model in two dimensions

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