#### Alladi Ramakrishnan Hall

#### Fluctuation relations for entropy and work in small systems

#### Sourabh Lahiri

##### ESPCI, Paris

*The fluctuation theorems (FTs) constitute some exact relations*

in the field of nonequilibrium statistical physics, that remain valid even

when the system is driven far away from equilibrium. These relations not

only help in understanding the thermodynamic second law better, but are

also useful in practical applications like extracting information about the

change in equilibrium free energy even when the process is a nonequilibrium

one. These theorems have been extensively studied in the last two decades,

both in the presence as well as absence of feedback-controlled drives

acting on the system. In this talk, a basic introduction to the fluctuation

theorems and stochastic thermodynamics would be provided, followed by the

discussion of entropy production FT in transient regime and fraction of

events that apparently violate the second law. Consequences of application

of feedback to the system would be outlined. At the end, the calculation of

free energy change in presence of measurement noise will be discussed

Done