Nonequilibrium Temperature and Thermometry in Heat-Conducting Phi-4 Models

Details Nonequilibrium Temperature and Thermometry in Heat-Conducting Phi-4 Models Nonequilibrium Temperature and Thermometry in Heat-Conducting Phi-4 Models

2008-01-20

arxiv.org/abs/0801.3051v2

Nonlinear Sciences

Chaotic Dynamics

20 pages with six figures, revised following review at Physical Review E

Scientific paper

10.1103/PhysRevE.77.041104

We analyze temperature and thermometry for simple nonequilibrium heat-conducting models. We show in detail, for both two- and three-dimensional systems, that the ideal gas thermometer corresponds to the concept of a local instantaneous mechanical kinetic temperature. For the Phi-4 models investigated here the mechanical temperature closely approximates the local thermodynamic equilibrium temperature. There is a significant difference between kinetic temperature and the nonlocal configurational temperature. Neither obeys the predictions of extended irreversible thermodynamics. Overall, we find that kinetic temperature, as modeled and imposed by the Nos\'e-Hoover thermostats developed in 1984, provides the simplest means for simulating, analyzing, and understanding nonequilibrium heat flows.

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