Explore contact aspects of non-equilibrium thermodynamics in this 59-minute conference talk recorded at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into results and conjectures presented by Leonid Polterovich, drawing from collaborative work with Michael Entov, Shin-itiro Goto, Shai Lerer, and Lenya Ryzhik. Recorded during the thematic meeting "From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications," this talk offers insights into the intersection of contact topology and thermodynamics. Access this video and other mathematical presentations through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced navigation and comprehension.