res:granular_glass_transition

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res:granular_glass_transition [2013/04/30 17:02] rootres:granular_glass_transition [2019/10/05 19:01] (current) till
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 memory kernel $m(q,t)$ can be given in terms of a mode coupling approximation memory kernel $m(q,t)$ can be given in terms of a mode coupling approximation
 $$ $$
-m(q,t)\approx \int d^Dq\mathcal V_{\vec q\vec k}\mathcal W_{\vec q\vec k}\phi(q,t)\phi(|\vec q-\vec k|, t).+m(q,t)\approx \int d^Dk\mathcal V_{\vec q\vec k}\mathcal W_{\vec q\vec k}\phi(q,t)\phi(|\vec q-\vec k|, t).
 $$ $$
-The two vertices or transition rates $\mathcal V_{\vec q\vec k}\ne\mathcal W_{\vec q\vec k}$ are +The two vertices or transition rates $\mathcal V_{\vec q\vec k}\ne\mathcal W_{\vec q\vec k}=\frac{1+\varepsilon}{2}\mathcal V_{\vec q\vec k}$ are 
 unequal, different form the theory for colloidal suspensions which are in thermal equilibrium. unequal, different form the theory for colloidal suspensions which are in thermal equilibrium.
 This difference reflects the loss of detailed balance in the nonequilibrium granular fluid. The This difference reflects the loss of detailed balance in the nonequilibrium granular fluid. The
  • Last modified: 2013/04/30 17:02
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