Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-equilibrium Monte Carlo approach to potential refinement in
  inverse problems   The inverse problem for a disordered system involves determining the
interparticle interaction parameters consistent with a given set of
experimental data. Recently, Rutledge has shown (Phys. Rev. E63, 021111 (2001))
that such problems can be generally expressed in terms of a grand canonical
ensemble of polydisperse particles. Within this framework, one identifies a
polydisperse attribute (`pseudo-species') $\sigma$ corresponding to some
appropriate generalized coordinate of the system to hand. Associated with this
attribute is a composition distribution $\bar\rho(\sigma)$ measuring the number
of particles of each species. Its form is controlled by a conjugate chemical
potential distribution $\mu(\sigma)$ which plays the role of the requisite
interparticle interaction potential. Simulation approaches to the inverse
problem involve determining the form of $\mu(\sigma)$ for which
$\bar\rho(\sigma)$ matches the available experimental data. The difficulty in
doing so is that $\mu(\sigma)$ is (in general) an unknown {\em functional} of
$\bar\rho(\sigma)$ and must therefore be found by iteration. At high particle
densities and for high degrees of polydispersity, strong cross coupling between
$\mu(\sigma)$ and $\bar\rho(\sigma)$ renders this process computationally
problematic and laborious. Here we describe an efficient and robust {\em
non-equilibrium} simulation scheme for finding the equilibrium form of
$\mu[\bar\rho(\sigma)]$. The utility of the method is demonstrated by
calculating the chemical potential distribution conjugate to a specific
log-normal distribution of particle sizes in a polydisperse fluid.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an