Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations of the critical Casimir force   The critical Casimir force (CCF) arises from confining fluctuations in a
critical fluid and thus it is a fluctuating quantity itself. While the mean CCF
is universal, its (static) variance has previously been found to depend on the
microscopic details of the system which effectively set a large-momentum cutoff
in the underlying field theory, rendering it potentially large. This raises the
question how the properties of the force variance are reflected in
experimentally observable quantities, such as the thickness of a wetting film
or the position of a suspended colloidal particle. Here, based on a rigorous
definition of the instantaneous force, we analyze static and dynamic
correlations of the CCF for a conserved fluid in film geometry for various
boundary conditions within the Gaussian approximation. We find that the dynamic
correlation function of the CCF is independent of the momentum cutoff and
decays algebraically in time. Within the Gaussian approximation, the associated
exponent depends only on the dynamic universality class but not on the boundary
conditions. We furthermore consider a fluid film, the thickness of which can
fluctuate under the influence of the time-dependent CCF. The latter gives rise
to an effective non-Markovian noise in the equation of motion of the film
boundary and induces a distinct contribution to the position variance. Within
the approximations used here, at short times, this contribution grows
algebraically in time whereas, at long times, it saturates and contributes to
the steady-state variance of the film thickness.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom