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Transport coefficient : ウィキペディア英語版
Transport coefficient
A Transport coefficient \gamma can be expressed via a Green-Kubo relation:
:\gamma= \int_0^\infty \langle \dot(t) \dot(0) \rangle dt,
where A is an observable occurring in a perturbed Hamiltonian, \langle \cdot \rangle is an ensemble average and the dot above the A denotes the time derivative.〔Water in Biology, Chemistry, and Physics: Experimental Overviews and Computational Methodologies, G. Wilse Robinson, ISBN 9789810224516, p. 80, (Google Books )〕
For times t that are greater than the correlation time of the fluctuations of the observable the transport coefficient obeys a generalized Einstein relation:
:2t\gamma=\langle |A(t)-A(0)|^2 \rangle
== Examples ==

* Diffusion constant, relates the flux of particles with the negative gradient of the concentration (see Fick's laws of diffusion)
* Heat transport coefficient
* Mass transport coefficient
* Shear Viscosity \eta = \frac\int_0 ^\infty dt \langle \sigma_(0) \sigma_ (t) \rangle
* Electrical conductivity

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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