Intermediate Disorder Regime for Half-Space Directed Polymers

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Abstract

We consider the convergence of point-to-point partition functions for the half-space directed polymer model in dimension 1+1 in the intermediate disorder regime as introduced for the full space model by Alberts, Khanin and Quastel in [1]. By scaling the inverse temperature as βn- 1 / 4, the point-to-point partition function converges to the chaos series for the solution to stochastic heat equation with Robin boundary condition and delta initial data. Furthermore, the convergence result is then applied to the exact-solvable log-gamma directed polymer model in a half-space.

Original languageEnglish (US)
Pages (from-to)2372-2403
Number of pages32
JournalJournal of Statistical Physics
Volume181
Issue number6
DOIs
StatePublished - Dec 2020
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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