FPU $β$ model: Boundary Jumps, Fourier's Law and Scaling

Details FPU $β$ model: Boundary Jumps, Fourier's Law and Scaling FPU $β$ model: Boundary Jumps, Fourier's Law and Scaling

2001-03-06

arxiv.org/abs/nlin/0103004v1

Nonlinear Sciences

Chaotic Dynamics

5pages, 5 figures

Scientific paper

10.1103/PhysRevLett.86.4029

We examine the interplay of surface and volume effects in systems undergoing heat flow. In particular, we compute the thermal conductivity in the FPU $\beta$ model as a function of temperature and lattice size, and scaling arguments are used to provide analytic guidance. From this we show that boundary temperature jumps can be quantitatively understood, and that they play an important role in determining the dynamics of the system, relating soliton dynamics, kinetic theory and Fourier transport.

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