A Fully Magnetizing Phase Transition

Abstract

We analyze the Farey spin chain, a one dimensional spin system with effective interaction decaying like the squared inverse distance. Using a polymer model technique, we show that when the temperature is decreased below the (single) critical temperature T_c=1/2, the magnetization jumps from zero to one.

19 pages

References in corpus (1)

• A Farey Fraction Spin Chain

Cited by in corpus (4)

• The Phase Transition in Statistical Models Defined on Farey Fractions
• Generalized Number Theoretic Spin Chain-Connections to Dynamical Systems and Expectation Values
• Statistical Mechanics of 2+1 Gravity From Riemann Zeta Function and Alexander Polynomial:Exact Results
• Thermodynamics of the Farey Fraction Spin Chain