Explore the fascinating world of nonequilibrium systems in this Rothschild Lecture delivered by Professor David Ruelle from the Institut des Hautes Études Scientifiques. Delve into the complex phenomena ranging from heat conduction to turbulence, and even touch upon the implications for life itself. Gain insights into the mathematical foundations of fluid dynamics and their applications in understanding Earth's systems. This hour-long talk, presented at the Isaac Newton Institute for Mathematical Sciences as part of the Mathematics for the Fluid Earth programme, offers a comprehensive overview of cutting-edge research in nonequilibrium physics and its far-reaching consequences.