$N$-point free energy distribution function in one dimensional random directed polymers

Abstract

Explicit expression for the $N$-point free energy distribution function in one dimensional directed polymers in a random potential is derived in terms of the Bethe ansatz replica technique. The obtained result is equivalent to the one derived earlier by Prolhac and Spohn [J. Stat. Mech., 2011, P03020].

10 pages, 1 figure

References in corpus (5)

• Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
• An exact solution for the KPZ equation with flat initial conditions
• The KPZ equation with flat initial condition and the directed polymer with one free end
• Correlation functions of the one-dimensional attractive Bose gas
• The One-dimensional KPZ Equation and the Airy Process

Cited by in corpus (1)

• Two-time distribution functions in the Gaussian model of randomly forced Burgers turbulence