Correlation between diffusion and coherence in Brownian motion on a tilted periodic potential

✍ Scribed by E. Heinsalu; R. Tammelo; T. Örd

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 209 KB
• Volume: 340
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2004.04.019

✦ Synopsis

The paper studies the overdamped motion of Brownian particles in a tilted sawtooth potential. The dependencies of the di usion coe cient and coherence level of Brownian transport on temperature, tilting force, and the shape of the potential are analyzed. It is demonstrated that at low temperatures the coherence level of Brownian transport stabilizes in the extensive domain of the tilting force where the value of the PÃ eclet factor is Pe = 2. This domain coincides with the one where the enhancement of the di usion coe cient vs. the tilting force is the most rapid. The necessary and su cient conditions for the non-monotonic behaviour of the di usion coe cient as a function of temperature are found. The e ect of the acceleration of di usion by bias and temperature is demonstrated to be very sensitive to the value of the asymmetry parameter of the potential.