Non-Markovian stochastic Liouville equation

The non-Markovian variant of the stochastic Liouville equation (SLE) based and the continuous time random walk approach (CTRWA) is proposed. This SLE turns out be represented by the conventional Markovian SLE. The non-Markovian SLE is applied to the analysis of anomalous long-tailed CTRW processes and, in particular, anomalous rate fluctuations in some chemical reactions. These fluctuations are shown to strongly manifest themselves in the reaction kinetics.