Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results for the behavior of the thermodynamic Casimir force in a
  model with a strong adsorption   When massless excitations are limited or modified by the presence of material
bodies one observes a force acting between them generally called Casimir force.
Such excitations are present in any fluid system close to its true bulk
critical point. We derive exact analytical results for both the temperature and
external ordering field behavior of the thermodynamic Casimir force within the
mean-field Ginzburg-Landau Ising type model of a simple fluid or binary liquid
mixture. We investigate the case when under a film geometry the boundaries of
the system exhibit strong adsorption onto one of the phases (components) of the
system. We present analytical and numerical results for the (temperature-field)
relief map of the force in both the critical region of the film close to its
finite-size or bulk critical points as well as in the capillary condensation
regime below but close to the finite-size critical point.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs