Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian Dynamics of Thermostated Systems: Two-Temperature
  Heat-Conducting phi-4 Chains   We consider and compare four Hamiltonian formulations of thermostated
mechanics, three of them kinetic, and the other one configurational. Though all
four approaches ``work'' at equilibrium, their application to many-body
nonequilibrium simulations can fail to provide a proper flow of heat. All the
Hamiltonian formulations considered here are applied to the same prototypical
two-temperature "phi-4" model of a heat-conducting chain. This model
incorporates nearest-neighbor Hooke's-Law interactions plus a quartic tethering
potential. Physically correct results, obtained with the isokinetic Gaussian
and Nose-Hoover thermostats, are compared with two other Hamiltonian results.
The latter results, based on constrained Hamiltonian thermostats, fail
correctly to model the flow of heat.

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The categories of this paper are: hep-lat
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The categories of this paper are: econ
2
The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: eess