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Two-time free energy distribution function in the KPZ problem

2015/07/22 by Victor Dotsenko, Dotsenko, Victor
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1507.06135

7 pages, 3 figures. arXiv admin note: text overlap with arXiv:1304.0626

arxiv created 2015/07/22 · openalex publication_date 2015/07/22 · arxiv updated 2015/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The explicit expression for the two time free energy distribution function in one-dimensional random directed polymers is derived in terms of the Bethe ansatz replica technique. It is show that such type of the distribution function can be represented in the form of a generalized "two-dimensional" Fredholm determinant.

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