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Annealed Lower Tails for the Energy of a Charged Polymer

2009/09/29 by Amine Asselah
Mathematics · Physics and Astronomy · #Annealing (glass) #Dimension (graph theory) #Energy (signal processing) #Gibbs free energy #Monomer #Polymer #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60J25. #msc:60K35 #msc:82C22

paper · pdf · doi:10.1007/s10955-009-9904-0

27 pages

arxiv created 2009/09/29 · openalex publication_date 2009/12/14 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We consider the energy of a randomly charged polymer. We assume that only charges on the same site interact pairwise. We study the lower tails of the energy, when averaged over both randomness, in dimension three or more. As a corollary, we obtain the correct temperature-scale for the Gibbs measure.

Citations