Oldroyd-B model: Difference between revisions

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The '''Ehrenfest–Tolman effect''' (also known as the '''Tolman–Ehrenfest effect'''), created by [[Richard Chase Tolman|Richard C. Tolman]] and [[Paul Ehrenfest]], argues that [[temperature]] is not constant in space at [[thermal equilibrium]], but varies with the spacetime curvature. Specifically, it depends on the [[spacetime]] metric. In a stationary spacetime with timelike [[killing vector field]] <math>\xi</math>, the temperature <math>T</math> satisfies instead the Tolman-Ehrenfest relation: <math>T\,\xi=\mathrm{constant}</math>.
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This relationship leads to the concept of ''thermal time'' which has been considered as a possible basis for a fully general-relativistic thermodynamics. It has been shown that the Tolman–Ehrenfest effect can be derived by applying the [[equivalence principle]] to the concept that temperature is the rate of thermal time with respect to proper time.<ref>[http://arxiv.org/abs/1005.2985 arxiv.org/abs/1005.2985] Rovelli & Smerlak, 2010, Classical and Quantum Gravity, 28, 4]</ref>
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==References==
<references/>
 
{{DEFAULTSORT:Ehrenfest-Tolman effect}}
[[Category:Quantum mechanics]]
 
 
{{quantum-stub}}

Revision as of 08:14, 10 February 2014

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