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entropic force : ウィキペディア英語版
entropic force

In physics, an entropic force acting in a system is a phenomenological force resulting from the entire system's statistical tendency to increase its entropy, rather than from a particular underlying microscopic force.〔(''A history of thermodynamics: the doctrine of energy and entropy'' by Ingo Müller, p115 )〕
==Mathematical formulation==

In the canonical ensemble, the entropic force \mathbf F associated to a macrostate partition \ is given by:〔(On the origin of gravity and the laws of Newton ), Erik Verlinde

\mathbf(\mathbf) = T \nabla_ S(\mathbf)|_

where T is the temperature, S(\mathbf) is the entropy associated to the macrostate \mathbf and \mathbf is the present macrostate.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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