Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Stochastic Thermodynamics and Information Processing

DY 24.1: Vortrag

Mittwoch, 7. September 2022, 10:00–10:15, H19

Optimising Energetics in Field Theories: Pareto Front and Phase Transitions — •Atul Tanaji Mohite and Etienne Fodor — University of Luxembourg, Department of Physics and Materials Science, L-1511, Luxembourg

Field theories have been extremely successful in characterizing the universal properties of various phase transitions, and in delineating a few canonical models which capture the essential Physics in a large class of systems. Interestingly, a generic framework for optimizing the energetic cost associated with the finite-time driving of such systems is still largely missing. Here, building on recent advances in stochastic thermodynamics and optimal transport theory, we show how to analytically derive the optimal driving protocols that minimise average stochastic work, which we apply to cases with either conserved or non-conserved scalar order parameter in the weak noise regime. Moreover, we formulate a numerical multi-optimization problem to simultaneously optimize the mean and fluctuations of stochastic work, leading to revealing a first-order phase transition in the corresponding Pareto front, which features the coexistence of multiple optimal protocols. Overall, our results elucidate how to drive field theories at a minimal energy cost, with the potential to be deployed to a broad class of systems.