TY - GEN
T1 - Brownian ratchet with time-delay on periodic surface
AU - Retkute, Renata
AU - Gleeson, James P.
PY - 2006
Y1 - 2006
N2 - The motion of Brownian particles in ratchet-like potentials (Magnasco 1993) has attracted great interest due to its wide applications in connection with transport processes in many fields including nanotechnologies. In many applications, a delay time elapses between the cause of a certain phenomenon and its subsequent effect. For example, in Entropy Trap Arrays (Tessier 2002) transport occurs when the configuration of a flexible polymer is deformed in order to pass through medium spatial constraints. The number of accessible configurations depends on the present as well as on the past position of the polymer. Differential equations with time delay are often used to take into consideration such phenomena. We consider a model of single particle moving in one dimensional periodic potential subject to thermal noise, additional forcing which is independent of particle position, and time-delayed feedback. We introduce feedback in such a way that when the delay vanishes, the model reduces to the wellstudied case of Brownian motion in the periodic potential (Risken 1996).
AB - The motion of Brownian particles in ratchet-like potentials (Magnasco 1993) has attracted great interest due to its wide applications in connection with transport processes in many fields including nanotechnologies. In many applications, a delay time elapses between the cause of a certain phenomenon and its subsequent effect. For example, in Entropy Trap Arrays (Tessier 2002) transport occurs when the configuration of a flexible polymer is deformed in order to pass through medium spatial constraints. The number of accessible configurations depends on the present as well as on the past position of the polymer. Differential equations with time delay are often used to take into consideration such phenomena. We consider a model of single particle moving in one dimensional periodic potential subject to thermal noise, additional forcing which is independent of particle position, and time-delayed feedback. We introduce feedback in such a way that when the delay vanishes, the model reduces to the wellstudied case of Brownian motion in the periodic potential (Risken 1996).
KW - Brownian ratchet
KW - Mass separation
KW - Stochastic differential delayed equations
UR - http://www.scopus.com/inward/record.url?scp=84883243214&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84883243214
SN - 9780955301803
T3 - Proceedings of ASMTA 2006: 13th International Conference on Analytical and Stochastic Modelling Techniques and Applications
SP - 149
EP - 152
BT - Proceedings of ASMTA 2006
T2 - 13th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2006
Y2 - 28 May 2006 through 31 May 2006
ER -