The phase transition in statistical models defined on Farey fractions
From MaRDI portal
Publication:1863039
DOI10.1023/A:1021014627403zbMath1035.82016arXivmath-ph/0203048OpenAlexW1847017441MaRDI QIDQ1863039
Jan Fiala, A. E. Özlük, Peter Kleban
Publication date: 11 March 2003
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0203048
Phase transitions (general) in equilibrium statistical mechanics (82B26) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (10)
Dimension spectra of hyperbolic flows ⋮ On the convergence to equilibrium of unbounded observables under a family of intermittent interval maps ⋮ Generalized Farey trees, transfer operators and phase transitions ⋮ Positive limit-Fourier transform of Farey fractions ⋮ Asymptotics of the Farey fraction spin chain free energy at the critical point ⋮ Products of matrices and and the distribution of reduced quadratic irrationals ⋮ Generalized number theoretic spin chain-connections to dynamical systems and expectation values ⋮ A thermodynamic classification of real numbers ⋮ Cluster approximation for the Farey fraction spin chain ⋮ Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals
This page was built for publication: The phase transition in statistical models defined on Farey fractions
