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26 April 2024
 
  » arxiv » cond-mat/9411105

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Finite Size Correction In A Disordered System - A New Divergence
Somendra M. Bhattacharjee ; Sutapa Mukherji ;
Date 15 Nov 1994
AbstractWe 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 ($n>n_c)$.
Source arXiv, cond-mat/9411105
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