Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic Dynamics in the Framework of the Vlasov-Nordheim Equation   In the framework of the time-dependent mean field theory, we solve the
Vlasov-Nordheim equation and study the sensitive dependence of this highly
non-linear equation on the initial conditions. We find that, when nuclear
matter is inside the spinodal region, initially small differences between
similar trajectories grow exponentially and produce strongly divergent paths
resulting in a chaotic evolution. We focus on the fact that chaos spontaneously
arises without putting any additional noise. We calculate the largest Lyapunov
exponent for various initial densities. This analysis is performed for nuclear
matter in two dimensions. It is argued that the mean field chaoticity can cause
nuclear multifragmentation observed in intermediate energy heavy-ion reactions.

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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: hep-th