Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations in multithermostat Brownian systems with Lorentz force   We study the motion of a Brownian particle subjected to Lorentz force due to
an external magnetic field. Each spatial degree of freedom of the particle is
coupled to a different thermostat. We show that the magnetic field results in
correlation between different velocity components in the stationary state.
Integrating the velocity autocorrelation matrix, we obtain the diffusion matrix
that enters the Fokker-Planck equation for the probability density. The
eigenvectors of the diffusion matrix do not align with the temperature axes. As
a consequence the Brownian particle performs spatially correlated diffusion. We
further show that in the presence of an isotropic confining potential, an
unusual, flux-free steady state emerges which is characterized by a
non-Boltzmann density distribution, which can be rotated by reversing the
magnetic field. The nontrivial steady state properties of our system result
from the Lorentz force induced coupling of the spatial degrees of freedom which
cease to exist in equilibrium corresponding to a single-temperature system.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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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: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: eess