Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proton Tunneling in a Two-Dimensional Potential Energy Surface with a
  Non-linear System-Bath Interaction: Thermal Suppression of Reaction Rate   We consider a proton-transfer (PT) system described by a proton-transfer
reaction (PTR) coordinate and a rate promoting vibrational (RPV) coordinate
interacting with a non-Markovian heat-bath. While dynamics of PT processes has
been widely discussed using two-dimensional (2D) potential energy surfaces
(PES), the role of the heat-bath, in particular, for a realistic form of the
system-bath interaction has not been well explored. Previous studies are
largely based on one-dimensional model and linear-linear (LL) system-bath
interaction. In the present study, we introduce an exponential-linear (EL)
system-bath interaction, which is derived from the analysis of a PTR-PRV system
in a realistic situation. This interaction mainly causes vibrational dephasing
in the PTR mode and population relaxation in the RPV mode. Numerical
simulations were carried out using hierarchy equations of motion approach. We
analyze the role of the heat-bath interaction on the chemical reaction rate as
a function of the system-bath coupling strength at different temperature and
for different values of the bath correlation time. A prominent feature of the
present result is that while the reaction rate predicted from classical and
quantum Kramers theory increases as the temperature increases, the present EL
interaction model exhibits opposite temperature dependence. Kramers turn-over
profile of the reaction rate as a function of the system-bath coupling is also
suppressed in the present EL model turning into a plateau-like curve for larger
system-bath interaction strength. Such features arise from the interplay of the
vibrational dephasing process in the PTR mode and the population relaxation
process in the RPV mode.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph