Physics
Scientific paper
Sep 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005njph....7..190c&link_type=abstract
New Journal of Physics, Volume 7, Issue 1, pp. 190 (2005).
Physics
4
Scientific paper
We present the exact analysis of a spatially restricted one-dimensional diffusion process with a time-dependent, spatially linear potential and a reflecting boundary. Using matching conditions together with the known solution for the unbounded diffusion in the time modulated potential, we have derived a new integral equation, whose solution yields the Green function for the restricted diffusion. Applying the general scheme, we give the numerical analysis of the diffusion in a symmetrically oscillating force field superimposed on the time-independent component. The latter component alone guarantees the approach to Gibbs equilibrium with exponential probability density. We calculate both the kinetic and the energetic characteristics of the emerging non-equilibrium isothermal process and discuss their dependence on the model parameters.
Chvosta Petr
Paule Elisabeth
Reineker Peter
Schulz Michael
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