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Monge Cycles and the limits to power generation from thermal anisotropy
Abstract: Thermodynamics was conceived in the 19th century to quantify the efficiency of steam engines, but its principles have since permeated disciplines ranging from chemistry and biology to astrophysics. While the classical theory describes idealized, quasi-static transformations, real engines operate in finite time, where power output—not just efficiency—matters. Progress in this regime has been hindered by the complexities of non-equilibrium dynamics. Recent developments in stochastic thermodynamics, which models system variables as evolving under Brownian excitation from heat baths, now offer a path forward. Using this framework, we uncover how anisotropy in thermal or chemical potentials can be harnessed for power generation in both engineered and natural systems, and we establish a fundamental bound on the power extractable during finite-time thermodynamic transitions.
The talk is based on joint works with Rui Fu (UCI), Olga Movilla (UCI), Amir Taghvaei (UCI) and Yongxin Chen (GaTech). Research funding by AFOSR, ARO and NSF is gratefully acknowledged.