Converting non Homogeneous System to Homogeneous System and Determination of Thermodynamic Quantities
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Date
2006-06
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Addis Ababa University
Abstract
Motion of a Brownian particle in a high friction nonhomogeneous medium in a ratchet
potential with spatially varying temperature is considered. Employing the appropri-
ate transformation for Langevin equation describing its motion, the expression for
the equivalent load in corresponding homogeneous medium is formulated. The steady
state particle current expressions for both cases are calculated as a function of cor-
responding model parameters. The behavior of equivalent load with 'noise intensity'
and currents with their corresponding model parameters are explored and analyzed.
We show that the increase in noise intensity to large value makes the load to saturate
to a limiting value. We also consider Brownian particle in a high friction with both
constant and space dependent temperature background. The system is taken away
from equilibrium by either varying the barrier height in space dependent temperature
or by varying load in constant temperature system with time. Using Sekimoto's [22]
energetic framework we calculated the expression for change in Helmholtz free energy
in the two models that we considered
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Converting non Homogeneous System