Some thermal transport properties of the FPU model with quadratic pinning

Details Some thermal transport properties of the FPU model with quadratic pinning Some thermal transport properties of the FPU model with quadratic pinning

2008-01-02

arxiv.org/abs/0801.0408v1

Nonlinear Sciences

Chaotic Dynamics

10pages, 4 figs

Scientific paper

10.1143/PTP.119.717

Thermal transport properties of the FPU $\beta$ model with a quadratic pinning term are investigated for various couplings and temperatures. In particular, the size dependence of the thermal conductivity, $\kappa\propto L^\alpha$, is studied. $\alpha$ agrees with that of the FPU $\beta$ model (with no pinning) at high temperatures but decreases at low temperatures. This crossover behavior occurs at a temperature depending on the strength of the quadratic pinning.

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