Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential
arXiv:1209.6166 · doi:10.1088/1742-5468/2013/02/P02012
Abstract
The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in 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.
15 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1209.3603
References in corpus (4)
- 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
- Correlation functions of the one-dimensional attractive Bose gas
- On the joint distribution of the maximum and its position of the Airy2 process minus a parabola
Cited by in corpus (8)
- Spectral theory for the q-Boson particle system
- Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions
- Directed random polymers via nested contour integrals
- From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation
- Maximum of an Airy process plus Brownian motion and memory in KPZ growth
- Crossing probability for directed polymers in random media: exact tail of the distribution
- Midpoint distribution of directed polymers in the stationary regime: exact result through linear response
- Tail decay for the distribution of the endpoint of a directed polymer