Motion of Brownian particles in a tilted periodic potential

Mel'nikov V. I.

The Langevin equation for a Brownian particle in a tilted periodic potential (TPP) with weak friction is reduced to two integral equations in energy variables. The dependence of the average velocity of the particle on the slope of the potential is found and a relationship is established between the expression obtained and the current-voltage characteristic (IVC) of a concentrated Josephson junction.