Finite-size correction in a disordered system: a new divergence

Bhattacharjee, Somendra M. ; Mukherji, Sutapa (1995) Finite-size correction in a disordered system: a new divergence Physical Review E, 52 (5). pp. 4860-4864. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v52/i5/p4860_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.52.4860

Abstract

We show that the amplitude of the finite-size correction term for the nth moment of the partition function, for randomly interacting directed polymers, diverges (on the high temperature side) as (nc-n)-r, as a critical moment nc is approached. The exponent r is independent of temperature but does depend on the effective dimensionality. There is no such divergence on the low temperature side (n>nc).

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