Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Strongly Coupled Open System with Non-linear Bath:
  Fluctuation-Dissipation and Langevin Dynamics   Study of Langevin dynamics and the fluctuation-dissipation relation (FDR) for
a generic probe system (represented by a mass $M$), bilinearly coupled to a
bath of harmonic oscillators, has been a standard paradigm for a microscopic
theory of stochastic processes for several decades. The question that we probe
in this paper is, how far the structure of the classical FDR is robust, when
one replaces the harmonic bath by an anharmonic one in the limit of strong
system-bath coupling? Such a picture carries the signature of the probe system
in the zeroth order through a nonlocal time kernel. We observe that the
two-time noise correlations hold out a rich structure from which the usual FDR
emerges only in the leading order of perturbation. Beyond this order, multiple
time scales and nontrivial dependence on the temperature starts manifesting.
These new aspects conspire to break the time-translational invariance of the
noise-correlations. Several other interesting features show up and we discuss
them methodically through rigorous calculations order-by-order in perturbation.
This formalistic derivation along with a specific example of non-linearity can
be easily applied to a huge range of processes and statistical observables that
fall under the purview of system-reservoir theory.

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The categories of this paper are: adap-org
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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: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: physics