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Physica A Statistical Mechanics and its Applications

A new approach to critical exponents in phase-transitions of spin-systems

G. Prüßner, Damien Loison, K. D. Schotte

Published Oct 1, 2000• 1 citation
Publisher
DOI
10.1016/s0378-4371(00)00182-5

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Tricriticdal behavior, in particular, critical exponents (η, γ, φ, ν, α), of classical N-component spin systems with a short-range or long-range interaction are studied in the dimension d (≪ 3 σ/2; σ: potential range parameter, 1 ≪ σ≤2) by means of the renormalization theory. The obtained expressions for all these critical exponents in the long-range interaction system and for the crossover exponent φ in the short-range one are new. The corrections of these tricritical exponents to the classical ones are shown to be smaller than those in the corresponding systems undergoing the second-order phase transition.