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Building on our earlier work (Proesmans et. al., Phys.~Rev.~X \textbf{6}(2016), 041010), we introduce the underdamped Brownian duet as a prototypemodel of a dissipative system or of a work-to-work engine. Several recentadvances from the theory of stochastic thermodynamics are illustrated withexplicit analytic calculations and corresponding Langevin simulations. Inparticular, we discuss Onsager-Casimir symmetry, the trade-off relationsbetween power, efficiency and dissipation, and stochastic efficiency.

The underdamped Brownian duet and stochastic linear irreversible thermodynamics