Finite-size crossover in systems with slab geometry

Dimo I. Uzunov and Masuo Suzuki,

Physica A: Statistical Mechanics and its Applications, 1995, vol. 216, issue 4, 489-510

Abstract: A renormalization group study of the finite-size (dimensional) crossover is carried out with the help pf ε = 4 − d and ε0 = 3 − d expansion techniques. The finite-size crossover and the invariance relation for the length scale transformation are proven up to the two-loop approximation. The formal equivalence between the finite-size crossover in classical systems and the quantum-to-classical dimensional crossover in certain quantum statistical models is emphasized and exploited. The finite-size corrections to the fluctuation shift of the critical temperature and the width of the critical region are investigated. It is shown that the shift exponent λ describing the fractional rounding of the critical temperature obeys the relation λ = D − 2, where D is the dimensionality of the system.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:216:y:1995:i:4:p:489-510

DOI: 10.1016/0378-4371(94)00305-D

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