Work fluctuation-dissipation trade-off in heat engines

Abstract

Reducing work fluctuation and dissipation in heat engines or, more generally, information heat engines that perform feedback control is vital to maximize their efficiency. The same problem arises when we attempt to maximize the efficiency of a given thermodynamic task that undergoes nonequilibrium processes for arbitrary initial and final states. We find that the most general trade-off relation between work fluctuation and dissipation applicable to arbitrary nonequilibrium processes is bounded from below by the information distance characterizing how far the system is from thermal equilibrium. The minimum amount of dissipation is found to be given in terms of the relative entropy and the Renyi divergence, both of which quantify the information distance between the state of the system and the canonical distribution. We give an explicit protocol that achieves the fundamental lower bound of the trade-off relation.

16 pages, 4 figures

References in corpus (6)

• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The Physics of Maxwell's demon and information
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Experimental realization of a Szilard engine with a single electron
• Experimental study of mutual information in a Maxwell Demon
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Cited by in corpus (10)

• Fluctuations in extractable work bound the charging power of quantum batteries
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Phase transition in protocols minimizing work fluctuations
• Geometry of work fluctuations versus efficiency in microscopic thermal machines
• Optimal performance of generalized heat engines with finite-size baths of arbitrary multiple conserved quantities beyond i.i.d. scaling
• Quantum Heat Engines with Carnot Efficiency at Maximum Power
• Joint statistics of work and entropy production along quantum trajectories
• Reaching and violating thermodynamic uncertainty bounds in information engines
• Additional energy-information relations in thermodynamics of small systems
• Work fluctuation and total entropy production in nonequilibrium processes