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

被引：9

作者：

Dotsenko, V. ^{[1
,2
]}

机构：

[1] Univ Paris 06, LPTMC, F-75252 Paris, France

[2] LD Landau Inst Theoret Phys, Moscow 119334, Russia

来源：

CONDENSED MATTER PHYSICS | 2014年 / 17卷 / 03期

关键词：

directed polymers; random potential; replicas; fluctuations; distribution function; PROBABILITY-DISTRIBUTION; BETHE-ANSATZ;

D O I：

10.5488/CMP.17.33003

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

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].

引用

页数：10

共 38 条

[1] Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 Dimensions [J].

Amir, Gideon ;

Corwin, Ivan ;

Quastel, Jeremy .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 64 (04) :466-537

[2]

Borodin A., 2012, ARXIV12041024

[3] ON THE BETHE ANSATZ FOR RANDOM DIRECTED POLYMERS [J].

BOUCHAUD, JP ;

ORLAND, H .

JOURNAL OF STATISTICAL PHYSICS, 1990, 61 (3-4) :877-884

[4] Probability distribution of the free energy of a directed polymer in a random medium [J].

Brunet, É ;

Derrida, B .

PHYSICAL REVIEW E, 2000, 61 (06) :6789-6801

[5]

Burgers J.M., 1974, The Nonlinear Diffusion Equation, DOI [10.1007/978-94-010-1745-9, DOI 10.1007/978-94-010-1745-9]

[6] Free-energy distribution of the directed polymer at high temperature [J].

Calabrese, P. ;

Le Doussal, P. ;

Rosso, A. .

EPL, 2010, 90 (02)

[7] Exact Solution for the Kardar-Parisi-Zhang Equation with Flat Initial Conditions [J].

Calabrese, Pasquale ;

Le Doussal, Pierre .

PHYSICAL REVIEW LETTERS, 2011, 106 (25)

[8] Correlation functions of the one-dimensional attractive bose gas [J].

Calabrese, Pasquale ;

Caux, Jean-Sebastien .

PHYSICAL REVIEW LETTERS, 2007, 98 (15)

[9] THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS [J].

Corwin, Ivan .

RANDOM MATRICES-THEORY AND APPLICATIONS, 2012, 1 (01)

[10] Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers [J].

Dotsenko, V. .

EPL, 2010, 90 (02)

← 1 2 3 4 →