Absolute Negative Mobility

Abstract

An investigation for the motion of mesoscopic particles in equilibrium and non-equilibrium systems is presented . In equilibrium systems Fluctuation Dissipation Theorem (FDT) is valid and hence if a small external field is applied to the system the resulting current is proportional to it and is in the same direction as the applied force. However, for systems away from equilibrium FDT does not hold and thus one can have the current in response to a small external field in the opposite direction to the field. This phenomena is known as Absolute Negative Mobility (ANM). We consider two model systems which display ANM. Then we have applied montecarlo simulation to the model for one dimensional Non-Markovian random walk and found the accuracy.