Heat conductivity in linear mixing systems
Baowen Li (1), Giulio Casati (1,2), and Jiao Wang (1) ((1)Department, of Physics, National University of Singapore. (2) International Center for, the Study of Dynamical Systems, Universita' degli Studi dell'Insubria, Como, Italy.)
TL;DR
This paper demonstrates that a quasi-one-dimensional system with irrational triangular scatterers exhibits Fourier law of heat conduction, showing normal heat transport without exponential instability.
Contribution
It provides analytical and numerical evidence that deterministic diffusion and normal heat conduction occur in non-hyperbolic systems with irrational angles.
Findings
System obeys Fourier law of heat conduction
Normal heat transport occurs without exponential instability
Deterministic diffusion is observed in non-hyperbolic systems
Abstract
We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi one dimensional channel with triangular scatterers with internal angles irrational multiples of pi and we show that the system obeys Fourier law of heat conduction. Therefore deterministic diffusion and normal heat transport which are usually associated to full hyperbolicity, actually take place in systems without exponential instability.
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