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Finite Size Correction In A Disordered System - A New Divergence

Somendra M. Bhattacharjee·Sutapa Mukherji
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Abstract

We show that the amplitude of the finite size correction term for the $n$th moment of the partition function, for randomly interacting directed polymers, diverges (on the high temperature side) as $(n_c - n)^{-r}$, as a critical moment $n_c$ 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 ($n>n_c)$.

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Somendra M. Bhattacharjee, Sutapa Mukherji. 1994-11-15. Finite Size Correction In A Disordered System - A New Divergence. https://doi.org/10.1103/physreve.52.4860

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