Finite Size Correction In A Disordered System - A New Divergence

Details Finite Size Correction In A Disordered System - A New Divergence Finite Size Correction In A Disordered System - A New Divergence

1994-11-15

arxiv.org/abs/cond-mat/9411105v1

Physics

Condensed Matter

8 pages, Revtex, 5 figures. For figs, send mail to sb@iopb.ernet.in

Scientific paper

10.1103/PhysRevE.52.4860

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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