Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bridging the Gap Between the Mode Coupling and the Random First Order
  Transition Theories of Structural Relaxation in Liquids   A unified treatment of structural relaxation in a deeply supercooled glassy
liquid is developed which extends the existing mode coupling theory (MCT) by
incorporating the effects of activated events by using the concepts from the
random first order transition (RFOT) theory. We show how the decay of the
dynamic structure factor is modified by localized activated events (called
instantons) which lead to the spatial reorganization of molecules in the region
where the instanton pops up. The instanton vertex added to the usual MCT
depicts the probability and consequences of such an event which can be derived
from the random first order transition theory. The vertex is proportional to
$exp(-A/s_{c})$ where $s_{c}$ is the configurational entropy. Close to the
glass transition temperature, $T_{g}$, since $s_{c}$ is diminishing, the
activated process slows beyond the time window and this eventually leads to an
arrest of the structural relaxation as expected for glasses. The combined
treatment describes the dynamic structure factor in deeply supercooled liquid
fairly well, with a hopping dominated decay following the MCT plateau.

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess