Diffusion: Difference between revisions

Revision as of 11:34, 15 June 2007

The diffusion coefficient, is given by

D={\frac {1}{3}}\int _{0}^{\infty }\langle v_{i}(t)\cdot v_{i}(0)\rangle ~dt

where $v_{i}(t)$ is the center of mass velovity of molecule $i$ .

2tD={\frac {1}{3}}\langle \vert r_{i}(t)\cdot r_{i}(0)\vert ^{2}\rangle

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+The '''diffusion coefficient''', is given by
+:<math>D = \frac{1}{3} \int_0^\infty \langle v_i(t) \cdot v_i(0)\rangle ~dt</math>
+where <math>v_i(t)</math> is the center of mass velovity of molecule <math>i</math>.
+==Einstein relation==
+:<math>2tD = \frac{1}{3} \langle \vert r_i(t) \cdot r_i(0) \vert^2\rangle  </math>
 ==References==
 #[http://dx.doi.org/10.1080/00268970701348758 G. L. Aranovich and M. D. Donohue "Limitations and generalizations of the classical phenomenological model for diffusion in fluids", Molecular Physics '''105''' 1085-1093 (2007)]
 [[Category: Non-equilibrium thermodynamics]]