Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential

被引:12
|
作者
Dotsenko, Victor [1 ,2 ]
机构
[1] Univ Paris 06, LPTMC, F-75252 Paris, France
[2] LD Landau Theoret Phys Inst, Moscow 119334, Russia
关键词
rigorous results in statistical mechanics; thermodynamic Bethe ansatz; disordered systems (theory); BETHE-ANSATZ; FREE-ENERGY; PROBABILITY-DISTRIBUTION;
D O I
10.1088/1742-5468/2013/02/P02012
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The explicit expression for the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated problem to the N-particle quantum boson system with attractive interactions.
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页数:20
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