Entropy production for partially observed system in a harmonic trap

Deepak Gupta, Sanjib Sabhapandit

Published 2017-10-31Version 1

We consider a harmonically coupled system of two Brownian particles (say A and B) in a harmonic confinement. Whole system is immersed in the heat bath at a temperature $T$. Both particles are driven by external stochastic Gaussian white noises. This system generates entropy and that total entropy production satisfies fluctuation theorem in steady state. In the weak coupling limit, the partial system also satisfies steady state fluctuation theorem for total entropy production. Numerical simulation are done to verify the analytical results and they have very good agreements.