Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuation-regularized Front Propagation Dynamics   We introduce and study a new class of fronts in finite particle number
reaction-diffusion systems, corresponding to propagating up a reaction rate
gradient. We show that these systems have no traditional mean-field limit, as
the nature of the long-time front solution in the stochastic process differs
essentially from that obtained by solving the mean-field deterministic
reaction-diffusion equations. Instead, one can incorporate some aspects of the
fluctuations via introducing a density cutoff. Using this method, we derive
analytic expressions for the front velocity dependence on bulk particle density
and show self-consistently why this cutoff approach can get the correct
leading-order physics.

23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex