2004

Construction of the factorized steady state distribution in models of mass transport

Royce K.P. Zia 1, Martin R. Evans 2, Satya N. Majumdar 3 Journal of Statistical Mechanics: Theory and Experiment 1 (2004) L10001 For a class of one-dimensional mass transport models we present a simple and direct test on the chipping functions, which define the probabilities for mass to be transferred to neighbouring sites, to determine whether the stationary distribution is factorized. In cases where […]

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Conformal field theory of the Flory model of polymer melting

Jesper Lykke Jacobsen 1, Jane’ Kondev 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 066108 We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter family of conformal field theories, which we characterize via

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Classical intermittency and quantum Anderson transition

Antonio M. Garcia-Garcia 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 066216 We investigate the quantum properties of 1D quantum systems whose classical counterpart presents intermittency. The spectral correlations are expressed in terms of the eigenvalues of an anomalous diffusion operator by using recent semiclassical techniques. For certain values of the parameters the spectral

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An Anisotropic Ballistic Deposition Model with Links to the Ulam Problem and the Tracy-Widom Distribution

Satya Majumdar 1, Sergei K. Nechaev 2, 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 011103 We compute exactly the asymptotic distribution of scaled height in a (1+1)–dimensional anisotropic ballistic deposition model by mapping it to the Ulam problem of finding the longest nondecreasing subsequence in a random sequence of integers. Using the known results for the

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