Topology and phase transitions. I: Preliminary results

DOI10.1016/j.nuclphysb.2007.04.025zbMath1188.82017arXivmath-ph/0505057OpenAlexW2753312321WikidataQ105583692 ScholiaQ105583692MaRDI QIDQ2381443

Lionel Spinelli, Marco Pettini, Roberto Franzosi

Publication date: 17 September 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0505057

zbMATH Keywords

phase transitionstopologystatistical mechanics

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (11)

Topology and phase transitions. II: Theorem on a necessary relation ⋮ On the origin of phase transitions in the absence of symmetry-breaking ⋮ Density of states of continuous and discrete spin models: a case study ⋮ Topological approach to microcanonical thermodynamics and phase transition of interacting classical spins ⋮ Topological origin of phase transitions in the absence of critical points of the energy landscape ⋮ Microcanonical entropy and dynamical measure of temperature for systems with two first integrals ⋮ On the mean-field spherical model ⋮ Phase transitions and configuration space topology ⋮ Evolution of helicity in fluid flows ⋮ Geometrical and topological study of the Kosterlitz–Thouless phase transition in the XY model in two dimensions ⋮ Topological theory of phase transitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Critical point theory and submanifold geometry
• Phase transitions and topology changes in configuration space
• On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
• Hamiltonian dynamics of the two-dimensional lattice model
• An exact sequence in differential topology
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

This page was built for publication: Topology and phase transitions. I: Preliminary results