Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of Coupled Phase Transitions: Phase Separation and Variation of
  Order Parameter   A simplified Ginzburg-Landau theory is presented to study generally a
coupling of a first-order phase transition (FOPT) to a second-order phase
transition (SOPT). We show analytically that, due to the coupling between the
two phase transitions, the SOPT may exhibit a FOPT-like phase separation in
which an ordered phase is separated from a disordered one. This phase
separation results in a distinct behavior in the variation of the order
parameter of the SOPT, namely, it is primarily the proportion of the ordered
phase that contributes to the total order of the whole system during the FOPT.
This growth mode may turn a mean-field critical exponent from 1/2 to 1 or even
bigger.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat