Recent advancement of experimental techniques at the single molecule level has demonstrated how an external load affects a chemical reaction which controls the transport of biological motor proteins. Majority of these studies are concerned with thermodynamically open systems. We have examined a prototype model reaction in terms of inertial Brownian motion of a particle in a force field subjected to an overdamped motion of a viscous load coupled harmonically to the particle. A general analytical expression for the rate constant has been derived to demonstrate that depending on the strength of harmonic coupling and drag coefficient of the load a Kramers-like turnover can be realized in the spatial diffusion-limited regime. The turnover reduces to a crossover between the two states characterized by zero-load and finite load conditions.
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14 July 2009
Research Article|
July 09 2009
Kramers-like turnover in load-dependent activated dynamics
Debasish Mondal;
Debasish Mondal
1Department of Physical Chemistry,
Indian Association for the Cultivation of Science
, Jadavpur, Kolkata 700 032, India
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Pulak Kumar Ghosh;
Pulak Kumar Ghosh
2Advanced Science Institute,
The Institute of Physical and Chemical Research (RIKEN)
, Wako-shi, Saitama 351-0198, Japan
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Deb Shankar Ray
Deb Shankar Ray
a)
1Department of Physical Chemistry,
Indian Association for the Cultivation of Science
, Jadavpur, Kolkata 700 032, India
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a)
Electronic mail: [email protected].
J. Chem. Phys. 131, 024110 (2009)
Article history
Received:
April 22 2009
Accepted:
June 05 2009
Citation
Debasish Mondal, Pulak Kumar Ghosh, Deb Shankar Ray; Kramers-like turnover in load-dependent activated dynamics. J. Chem. Phys. 14 July 2009; 131 (2): 024110. https://doi.org/10.1063/1.3159613
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