Ergodicity of two particles with attractive interaction

DOI10.3934/DCDS.2015.35.4831zbMath1337.37008OpenAlexW2328025967MaRDI QIDQ255441

Christian Tutschka, Karl Grill

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4831

zbMATH Keywords

one-dimensionalinterval exchange transformationarithmetic progression of squaresergodic propertiessquare-well

Mathematics Subject Classification ID

Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Dynamical aspects of statistical mechanics (37A60)

Cites Work

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• A condition for minimal interval exchange maps to be uniquely ergodic
• Ergodicity of billiard flows and quadratic differentials
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Overcomplete free energy functional for \(D\) = 1 particle systems with next neighbor interactions
• Interval exchange transformations

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