Geometric Decomposition of Entropy Production

Explore the concept of entropy production in out-of-equilibrium systems through this 31-minute lecture by Andreas Dechant from the PCS Institute for Basic Science. Delve into the geometric decomposition of entropy production, examining different ways systems can be driven out of equilibrium. Understand the distinction between excess (nonadiabatic) and housekeeping (adiabatic) entropy production, and investigate the non-uniqueness of this decomposition. Learn about a new three-part decomposition that attributes contributions to time-dependent driving, persistent flows, and their interaction. Discover variational expressions for excess and housekeeping contributions, applicable to experimental or numerical data analysis. Follow the lecture's progression from motivation and different driving methods to detailed explanations of Hatano-Sasa and MN decompositions, orthogonal projections, and coupling entropy. Conclude with a practical demonstration using a parabolic potential with torque force to solidify understanding of these complex thermodynamic concepts.

Intro
Motivation
Different ways of driving
Entropy production
Hatano-Sasa (HS) decomposition
HS decomposition- geometric interpretation
MN decomposition - geometric interpretation
Two decompositions
Orthogonal projections
Variational expressions for MN decomposition
Relation between HS and MN decomposition
Coupling entropy
Demonstration: parabolic potential with torque force
Summary