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A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived, and are used to establish the existence of phase transitions…

Quantum Physics · Physics 2007-06-13 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

The dynamical justifications which lie at the basis of an effective Statistical Mechanics for self gravitating systems are formulated, analyzing some among the well known obstacles thought to prevent a rigorous Statistical treatment. It is…

Astrophysics · Physics 2009-11-06 Piero Cipriani , Marco Pettini

We find necessary and sufficient conditions to determine the inter-convertibility of quantum systems under time-translation covariant evolution, and use it to solve several problems in quantum thermodynamics both in the single-shot and…

Quantum Physics · Physics 2022-11-29 Gilad Gour

Understanding whether uniquely quantum features can provide concrete advantages in thermodynamic processes is a central objective of quantum thermodynamics. A key challenge is quantifying how different forms of non-classicality can be…

Quantum Physics · Physics 2026-03-06 Luis Pedro Garcıa-Pintos , Tanmoy Biswas , Chandan Datta

In this paper we carefully reexamine the various framworks existing in the field of relativistic thermodynamics. We scrutinize in particular the different conceptual foundations of notions like the relativistic work, heat force, moving heat…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Manfred Requardt

We introduce a class of probabilistic theories, termed Minimal Strongly Causal Operational Probabilistic Theories, where system dynamics are constrained to the minimal set of operations consistent with the set of states and permitting…

Quantum Physics · Physics 2025-02-17 Davide Rolino , Marco Erba , Alessandro Tosini , Paolo Perinotti

A new approach that is a combination of classical thermodynamics and macroscopic kinetics is offered for studying the nucleation kinetics in condensed binary solutions. The theory covers the separation of liquid and solid solutions…

Chemical Physics · Physics 2018-11-14 Nikolay V. Alekseechkin

We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superpositions of energy eigenstates. We use these quantities to extend the…

Quantum Physics · Physics 2016-03-22 Jose Joaquin Alonso , Eric Lutz , Alessandro Romito

Thermodynamics is traditionally constrained to the study of macroscopic systems whose energy fluctuations are negligible compared to their average energy. Here, we push beyond this thermodynamic limit by developing a mathematical framework…

Quantum Physics · Physics 2018-11-28 Christopher T. Chubb , Marco Tomamichel , Kamil Korzekwa

This work consists in the theorical development on the analysis of the Thermodynamic Laws and thermodynamic systems in relative motion, according to the laws of Classical Mechanics. The difference of this work for many of the literature is…

Classical Physics · Physics 2021-05-04 Wendel Macedo Mendes , Bruno Poti e Silva

It is a common view in philosophy of physics that thermodynamics is a non-fundamental theory. This is motivated in particular by the fact that thermodynamics is considered to be a paradigmatic example for a theory that can be reduced to…

History and Philosophy of Physics · Physics 2022-04-12 Michael te Vrugt , Paul Needham , Georg J. Schmitz

A central problem in quantum resource theory is to give operational meaning to quantum resources that can provide clear advantages in certain physical tasks compared to the convex set of resource-free states. We propose to extend this basic…

Quantum Physics · Physics 2024-12-30 Sunho Kim , Chunhe Xiong , Junde Wu

From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological frameworks to understand and deploy thermodynamic…

Quantum Physics · Physics 2019-11-21 Gian Paolo Beretta , Enzo Zanchini

Quantum catalysis, the ability to enable previously impossible transformations by using auxiliary systems without degrading them, has emerged as a powerful tool in various resource theories. Although catalytically enabled state…

Quantum Physics · Physics 2026-03-25 Patryk Lipka-Bartosik , Kamil Korzekwa

Heat capacities of model systems with finite numbers of effective degrees of freedom are evaluated using canonical and microcanonical thermodynamics. Discrepancies between both approaches, which are observed even in the infinite-size limit,…

Quantum Physics · Physics 2017-02-16 Pavel Cejnar , Pavel Stránský

Heat can flow from cold to hot at any phase separation. Therefore Lynden-Bell's gravo-thermal catastrophe must be reconsidered. The original objects of Thermodynamics, the separation of phases at first order phase transitions, like boiling…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

The interplay between quantum-mechanical properties, such as coherence, and classical notions, such as energy, is a subtle topic at the forefront of quantum thermodynamics. The traditional Carnot argument limits the conversion of heat to…

Quantum Physics · Physics 2016-02-23 Kamil Korzekwa , Matteo Lostaglio , Jonathan Oppenheim , David Jennings

We present a geometric and dynamical approach to the micro-canonical ensemble of classical Hamiltonian systems. We generalize the arguments in \cite{Rugh} and show that the energy-derivative of a micro-canonical average is itself…

chao-dyn · Physics 2009-10-30 Hans Henrik Rugh

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

Statistical Mechanics · Physics 2016-06-29 Kay Brandner , Udo Seifert

We present general and rigorous results showing that the microcanonical and canonical ensembles are equivalent at all three levels of description considered in statistical mechanics - namely, thermodynamics, equilibrium macrostates, and…

Statistical Mechanics · Physics 2015-05-15 Hugo Touchette