Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Dynamics of Dimers: Implications for the Glass Transition   The Adam-Gibbs view of the glass transition relates the relaxation time to
the configurational entropy, which goes continuously to zero at the so-called
Kauzmann temperature. We examine this scenario in the context of a dimer model
with an entropy vanishing phase transition, and stochastic loop dynamics. We
propose a coarse-grained master equation for the order parameter dynamics which
is used to compute the time-dependent autocorrelation function and the
associated relaxation time. Using a combination of exact results, scaling
arguments and numerical diagonalizations of the master equation, we find
non-exponential relaxation and a Vogel-Fulcher divergence of the relaxation
time in the vicinity of the phase transition. Since in the dimer model the
entropy stays finite all the way to the phase transition point, and then jumps
discontinuously to zero, we demonstrate a clear departure from the Adam-Gibbs
scenario. Dimer coverings are the "inherent structures" of the canonical
frustrated system, the triangular Ising antiferromagnet. Therefore, our results
provide a new scenario for the glass transition in supercooled liquids in terms
of inherent structure dynamics.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org