Interacting Brownian Motion with Resetting
  We study two Brownian particles in dimension $d=1$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state. 
Ricardo Falcao and Martin R. Evans
cond-mat.stat-mech