Exact results for anomalous transport in one dimensional Hamiltonian systems

Details Exact results for anomalous transport in one dimensional Hamiltonian systems Exact results for anomalous transport in one dimensional Hamiltonian systems

2011-06-16

arxiv.org/abs/1106.3298v4

Physics

Condensed Matter

Statistical Mechanics

Further corrections to equations have been made. A few comments have been added, e.g. on the non-applicability to exactly solv

Scientific paper

Anomalous transport in one dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic forms for density-density and current-current time correlation functions and their Fourier transforms are given in terms of the Pr\"ahofer-Spohn scaling functions, obtained from their exact solution for the Polynuclear growth model. The exponents of corrections to scaling are found as well, but not so the coefficients. Mode coupling theories developed previously are found to be adequate for weakly nonlinear chains, but in need of corrections for strongly anharmonic interparticle potentials.

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