Abstract
We study the single-particle momentum distribution functions of a one-dimensional Hamiltonian system in the nonequilibrium steady state of heat conduction. Deviation from the Maxwellian distribution is measured by the use of the relative entropy. As a result, it is found that the total relative entropy linearly increases with the system size in an integrable model, while it decreases for large N in nonintegrable systems. Moreover, effects of a symmetry are discussed and some differences are found between the FPU model and the Φ 4 model when the boundary breaks the symmetry.
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