1993/10/21 by T. Blum, Thomas Blum, Blum, T.
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #Diffusion and Search Dynamics #FOS: Physical sciences #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9310050
14 pages, plain TeX (no additional macros), MAN-TH-TB-93-1
arxiv created 1993/10/21 · openalex publication_date 1993/10/21 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
A variational method that allows for replica-symmetry breaking is applied to directed polymers in an (N+1)-dimensional disordered medium. The noise studied here has gaussian correlations, i.e. it is short-ranged. In dimensions N<2, the variational scheme yields only a strong-coupling phase and anomalous diffusion; while in dimensions N>2 it shows weak- and strong-coupling phases but no anomalous diffusion. Comparisons are made with the results of Mezard and Parisi [11] for noise with power-law correlations.