Diffusion of heat, energy, momentum and mass in one-dimensional systems

Details Diffusion of heat, energy, momentum and mass in one-dimensional systems Diffusion of heat, energy, momentum and mass in one-dimensional systems

2011-06-15

arxiv.org/abs/1106.2896v2

Physics

Condensed Matter

Statistical Mechanics

26 pages, 6 figures

Scientific paper

Relaxation is crucial for understanding various nonequilibrium processes. However, in general how the fluctuations of a physical quantity may evolve is still elusive. Here we show by examples that fluctuations of heat, energy, momentum and mass may have dramatically distinct diffusion behaviors in a system and vary from system to system. As an important consequence, the diffusion of fluctuations of a given physical quantity can not be explored by studying that of other physical quantities. In particular, recent efforts trying to establish a general connection between heat conduction and energy diffusion, and those trying to explore heat waves by investigating the diffusion processes of quantities other than heat, are questionable. Nevertheless, we show that for the same physical quantity, a universal connection may exist to link its relaxation and transport such as heat diffusion and heat conduction.

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