Two-point generating function of the free energy for a directed polymer in a random medium

DOI10.1088/1742-5468/2011/01/P01031zbMath1459.82127arXiv1011.4014OpenAlexW3105745881MaRDI QIDQ3301216

Herbert Spohn, Sylvain Prolhac

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4014

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37)

Related Items (14)

Two-point convergence of the stochastic six-vertex model to the Airy process ⋮ The one-dimensional KPZ equation and the Airy process ⋮ Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints ⋮ The KPZ equation with flat initial condition and the directed polymer with one free end ⋮ Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential ⋮ Two-time free energy distribution function in (1 + 1) directed polymers ⋮ Nonlocal asymmetric exclusion process on a ring and conformal invariance ⋮ Log-gamma directed polymer with fixed endpoints via the replica Bethe Ansatz ⋮ Crossover from droplet to flat initial conditions in the KPZ equation from the replica Bethe ansatz ⋮ Two-time distribution functions in the Gaussian model of randomly forced Burgers turbulence ⋮ Crossover between various initial conditions in KPZ growth: flat to stationary ⋮ Tail of the two-time height distribution for KPZ growth in one dimension ⋮ Log-gamma directed polymer with one free end via coordinate Bethe Ansatz ⋮ Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles

Cites Work

• Unnamed Item
• Exact height distributions for the KPZ equation with narrow wedge initial condition
• New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
• Spectral degeneracies in the totally asymmetric exclusion process
• Integral formulas for the asymmetric simple exclusion process
• Level-spacing distributions and the Airy kernel
• An integral representation for the product of Airy functions
• Scale invariance of the PNG droplet and the Airy process
• Shape fluctuations and random matrices
• The arctic circle boundary and the Airy process
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• The 1 + 1-dimensional Kardar–Parisi–Zhang equation and its universality class
• Bethe ansatz solution for one-dimensional directed polymers in random media
• Dynamic Scaling of Growing Interfaces
• Tree structures for the current fluctuations in the exclusion process
• On the numerical evaluation of Fredholm determinants
• Cumulants of the current in a weakly asymmetric exclusion process
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Exact Large Deviation Function in the Asymmetric Exclusion Process
• Spectral gap of the totally asymmetric exclusion process at arbitrary filling
• Study of Exactly Soluble One-Dimensional N-Body Problems
• Statistical Physics of Fields
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• The crossover regime for the weakly asymmetric simple exclusion process

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