Phases of the number-theoretic spin chain

DOI10.1007/BF01052771zbMath1102.82307MaRDI QIDQ2499939

Andreas Knauf

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionphase transitionspin 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 (8)

Free energy and correlations of the number-theoretical spin chain ⋮ Phase Operator on $$L^2(\mathbb {Q}_p)$$ and the Zeroes of Fisher and Riemann ⋮ On a ferromagnetic spin chain. II. Thermodynamic limit ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ A thermodynamic classification of real numbers ⋮ NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS ⋮ Universal Chern-Simons partition functions as quadruple Barnes' gamma-functions ⋮ The low activity phase of some Dirichlet series

Cites Work

• On a ferromagnetic spin chain
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Statistical mechanics of a one-dimensional lattice gas

This page was built for publication: Phases of the number-theoretic spin chain