Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results in the large system size limit for the dynamics of the
  Chemical Master Equation, a one dimensional chain of equations   We apply the Hamilton-Jacobi equation (HJE) formalism to solve the dynamics
of the Chemical Master Equation (CME). We found exact analytical expressions
(in large system-size limit) for the probability distribution, including
explicit expression for the dynamics of variance of distribution. We also give
the solution for some simple cases of the model with time-dependent rates. We
derived the results of Van Kampen method from HJE approach using a special
ansatz. Using the Van Kampen method, we give a system of ODE to define the
variance in 2-d case. We performed numerics for the CME with stationary noise.
We give analytical criteria for the disappearance of bi-stability in case of
stationary noise in 1-d CME.

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph