Lawrence Berkeley National Laboratory
Optimal Thermodynamic Control and the Dynamic Riemannian Geometry of Ising magnets
A major impediment to a quantitative understanding of molecular-scale machines is that they operate out of thermodynamic equilibrium. However, if the system is not too far from equilibrium, then optimal (minimum dissipation) thermodynamic control is governed by a fiction metric that generates a Riemannian geometry on thermodynamic state space. I’ll discuss the Riemannian geometry of the Ising model, a quintessential model of statistical mechanics that described the thermodynamics of ferromagnetic and fluid systems.