COORDINATE PROBABILITY DISTRIBUTION OF A BROWNIAN PARTICLE DIFFUSING IN TILTED PERIODIC POTENTIAlS |
| 6 | |
| 2011 |
| scientific article | 537.86:519.2 | ||
| 75-81 | Brownian diffusion, Fokker-Planck equation, Markov random process, non-stationary probability distribution |
| One-dimensional overdamped Brownian particle motion in tilted periodic potentials is considered. Assuming
high potential barriers in comparison with the noise intensity, an analytical expression is obtained which simulates
the non-stationary probability density of the Brownian particle coordinate over the whole timescale. Theoretical
results are compared with numerical simulations. The limitations of the model analytical expression are determined. |
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