Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temperature effects on the nuclear symmetry energy and symmetry free
  energy with an isospin and momentum dependent interaction   Within a self-consistent thermal model using an isospin and momentum
dependent interaction (MDI) constrained by the isospin diffusion data in
heavy-ion collisions, we investigate the temperature dependence of the symmetry
energy $E_{sym}(\rho, T)$ and symmetry free energy $F_{sym}(\rho, T) $ for hot,
isospin asymmetric nuclear matter. It is shown that the symmetry energy
$E_{sym}(\rho, T)$ generally decreases with increasing temperature while the
symmetry free energy $F_{sym}(\rho, T)$ exhibits opposite temperature
dependence. The decrement of the symmetry energy with temperature is
essentially due to the decrement of the potential energy part of the symmetry
energy with temperature. The difference between the symmetry energy and
symmetry free energy is found to be quite small around the saturation density
of nuclear matter. While at very low densities, they differ significantly from
each other. In comparison with the experimental data of temperature dependent
symmetry energy extracted from the isotopic scaling analysis of intermediate
mass fragments (IMF's) in heavy-ion collisions, the resulting density and
temperature dependent symmetry energy $E_{sym}(\rho, T) $ is then used to
estimate the average freeze-out density of the IMF's.used to estimate the
average freeze-out density of the IMF's.

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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph