Entropy production in nondegenerate diffusions: the large-time and small-noise limits

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Renaud Raquépas
McGill University Montréal and Université Grenoble Alpes

Entropy production (EP) is a key quantity originating from thermodynamics and statistical physics which quantifies the irreversibility of the time evolution of physical systems. I will start with a general introduction to the different approaches to defining EP. Then, I will focus on the context of nondegenerate diffusions and I will describe the large-deviation properties of EP as time goes to infinity. Finally, I will discuss the behaviour of the corresponding rate function as the intensity of the noise goes to zero.