Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Poisson-Boltzmann: Numerical sampling of charge density
  fluctuations   We present a method aimed at sampling charge density fluctuations in Coulomb
systems. The derivation follows from a functional integral representation of
the partition function in terms of charge density fluctuations. Starting from
the mean-field solution given by the Poisson-Boltzmann equation, an original
approach is proposed to numerically sample fluctuations around it, through the
propagation of a Langevin like stochastic partial differential equation (SPDE).
The diffusion tensor of the SPDE can be chosen so as to avoid the numerical
complexity linked to long-range Coulomb interactions, effectively rendering the
theory completely local. A finite-volume implementation of the SPDE is
described, and the approach is illustrated with preliminary results on the
study of a system made of two like-charge ions immersed in a bath of
counter-ions.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol