Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling properties of energy spreading in nonlinear Hamiltonian
  two-dimensional lattices   In nonlinear disordered Hamiltonian lattices, where there are no propagating
phonons, the spreading of energy is of subdiffusive nature. Recently, the
universality class of the subdiffusive spreading according to the nonlinear
diffusion equation (NDE) has been suggested and checked for one-dimensional
lattices. Here, we apply this approach to two-dimensional strongly nonlinear
lattices and find a nice agreement of the scaling predicted from the NDE with
the spreading results from extensive numerical studies. Moreover, we show that
the scaling works also for regular lattices with strongly nonlinear coupling,
for which the scaling exponent is estimated analytically. This shows that the
process of chaotic diffusion in such lattices does not require disorder.

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int