Thermodynamics and information theory

Kirone Mallick (1) , Bertrand Duplantier (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

The Laws of classical thermodynamics and the fundamental principles of statistical mechanics are reviewed with an emphasis on their logical structure. We discuss the universality of equilibrium uctuations (Brownian motion) and describe some contemporary results such as non-equilibrium work identities of Jarzynski and Crooks. A brief review of Shannon entropy reveals the formal analogy between thermodynamics and information theory: these two sciences must be coupled in order to understand and to exorcise Maxwell’s demon.

Domaines: Physique [physics]

Kirone Mallick, Bertrand Duplantier. Thermodynamics and information theory. Information Theory, 78, Springer International Publishing, pp.1-48, 2021, Progress in Mathematical Physics, Print ISBN: 978-3-030-81479-3. ⟨10.1007/978-3-030-81480-9_1⟩. ⟨cea-03706542⟩