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The Master Equation can be written in the form | The Master Equation can be written in the form | ||
:<math>\frac{\partial n(x,t)}{\partial t} = \int_0^t \left ( \ | :<math>\frac{\partial n(x,t)}{\partial t} = \int_0^t \left ( \int{K(x-x',t-t',x',t')n(x',t')dx'} - n(x,t')\int{K(x-x',t-t',x',t')dx'}\right )dt'</math> | ||
where ''n'' is the particle (probability) density, and ''K'' a kernel of the form | where ''n'' is the particle (probability) density, and ''K'' a kernel of the form |