What do thermodynamic dissipation, electrical resistance, random-walk commute times, and optimal transport have in common? They describe the same geometry on Markov networks!
Beautiful work by Jordan Sawchuk, a Letter and Editors' Suggestion @PhysRevE:
doi.org/10.1103/bhr1...
doi.org
Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport
Geometric ideas play a role in areas such as stochastic thermodynamics, spectral graph theory, and optimal transport. In this Letter, the authors link a thermodynamic friction metric that governs diss...