Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy flux near the junction of two Ising chains at different
  temperatures   We consider a system in a non-equilibrium steady state by joining two
semi-infinite Ising chains coupled to thermal reservoirs with {\em different}
temperatures, $T$ and $T^{\prime}$. To compute the energy flux from the hot
bath through our system into the cold bath, we exploit Glauber heat-bath
dynamics to derive an exact equation for the two-spin correlations, which we
solve for $T^{\prime}=\infty$ and arbitrary $T$. We find that, in the
$T'=\infty$ sector, the in-flux occurs only at the first spin. In the
$T<\infty$ sector (sites $x=1,2,...$), the out-flux shows a non-trivial
profile: $F(x)$. Far from the junction of the two chains, $F(x)$ decays as
$e^{-x/\xi}$, where $\xi$ is twice the correlation length of the {\em
equilibrium} Ising chain. As $T\rightarrow 0$, this decay crosses over to a
power law ($x^{-3}$) and resembles a "critical" system. Simulations affirm our
analytic results.

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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: comp-gas