Finite Size Correction In A Disordered System - A New Divergence

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 ($n>n_c)$.

8 pages, Revtex, 5 figures. For figs, send mail to [email protected]

References in corpus (3)

• Critical Dynamics of Contact Line Depinning
• Directed Polymers with Random Interaction : An Exactly Solvable Case -
• Overlap, Disorder and Directed Polymers: A Renormalization Group Approach -

Cited by in corpus (1)

• Branching Fractions for D0 -> K+K- and D0 -> pi+pi-, and a Search for CP Violation in D0 Decays