On a ferromagnetic spin chain

DOI10.1007/BF02099041zbMath0776.11047MaRDI QIDQ1803545

Andreas Knauf

Publication date: 29 June 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

partition functiondecayRiemann zeta-functionnumerical computationstatistical mechanicsasymptotic translation invarianceinfinite ferromagnetic spin chain

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Miscellaneous applications of number theory (11Z05)

Related Items (12)

Free energy and correlations of the number-theoretical spin chain ⋮ On the convergence to equilibrium of unbounded observables under a family of intermittent interval maps ⋮ On a ferromagnetic spin chain. II. Thermodynamic limit ⋮ Generalized Farey trees, transfer operators and phase transitions ⋮ Positive limit-Fourier transform of Farey fractions ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ Generalized number theoretic spin chain-connections to dynamical systems and expectation values ⋮ A thermodynamic classification of real numbers ⋮ Phases of the number-theoretic spin chain ⋮ Cluster approximation for the Farey fraction spin chain ⋮ NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS ⋮ The low activity phase of some Dirichlet series

Cites Work

• Unnamed Item
• Unnamed Item
• Some remarks on the location of zeroes of the partition function for lattice systems
• Is our mathematics natural? The case of equilibrium statistical mechanics
• Gaussian correlation inequalities for ferromagnets

This page was built for publication: On a ferromagnetic spin chain