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This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

Assessing quantitatively the state and dynamics of a social system is a very difficult problem. It is of great importance for both practical and theoretical reasons such as establishing the efficiency of social action programs, detecting…

Physics and Society · Physics 2016-02-01 O. López-Corona , P. Padilla , A. Huerta , D. Mustri-Trejo , K. Perez , A. Ruiz , O. Valdés , F. Zamudio

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately tied with the fundamental laws of thermodynamics, embodying a tool to extend thermodynamic considerations all the way to non-equilibrium…

Quantum Physics · Physics 2022-02-08 Gabriel T. Landi , Mauro Paternostro

We discuss here the use of generalized forms of entropy, taken as information measures, to characterize phase transitions and critical behavior in thermodynamic systems. Our study is based on geometric considerations pertaining to the space…

Statistical Mechanics · Physics 2009-04-14 M. Portesi , F. Pennini , A. Plastino

Earth's atmosphere is in a state far from thermodynamic equilibrium. For example, the large scale equator-to-pole temperature gradient is maintained by tropical heating, polar cooling, and a midlatitude meridional eddy heat flux…

Atmospheric and Oceanic Physics · Physics 2016-03-18 Philip Sura

We give meaning to the first and second laws of thermodynamics in case of mesoscopic out-of-equilibrium systems which are driven by diffusion processes. The notion of the entropy production is analyzed. The role of the Helmholtz extremum…

Statistical Mechanics · Physics 2008-11-26 Piotr Garbaczewski

Self-organization is a process where order of a whole system arises out of local interactions between small components of a system. Emergy, spelled with an 'm', defined as the amount of (solar) energy used to make a product or service, is…

Formal Languages and Automata Theory · Computer Science 2019-06-26 Chams Lahlou , Laurent Truffet

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

Soft Condensed Matter · Physics 2009-10-30 Elliott H. Lieb , Jakob Yngvason

Algorithmic entropy can be seen as a special case of entropy as studied in statistical mechanics. This viewpoint allows us to apply many techniques developed for use in thermodynamics to the subject of algorithmic information theory. In…

Mathematical Physics · Physics 2013-02-27 John C. Baez , Mike Stay

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

The accurate knowledge of the thermophysical and thermodynamic properties of pure hydrogen and hydrogen mixtures plays an important role in the design and operation of many processes involved in hydrogen production, transport, storage, and…

Chemical Physics · Physics 2024-09-06 Daniel Lozano-Martín , Alejandro Moreau , César R. Chamorro

In the scientific and engineering literature, the second law of thermodynamics is expressed in terms of the behavior of entropy in reversible and irreversible processes. According to the prevailing statistical mechanics interpretation the…

Quantum Physics · Physics 2007-05-23 Elias P. Gyftopoulos , Gian Paolo Beretta

This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of thermalization, and the justification of…

Statistical Mechanics · Physics 2011-05-31 Haye Hinrichsen , Christian Gogolin , Peter Janotta

The fundamental assumption of statistical mechanics is that the system is equally likely in any of the accessible microstates. Based on this assumption, the Boltzmann distribution is derived and the full theory of statistical thermodynamics…

Quantum Physics · Physics 2015-05-18 X. L. Huang , B. Cui , X. X. Yi

Conventional statistical mechanics describes large systems and averages over many particles or over many trials. But work, heat, and entropy impact the small scales that experimentalists can increasingly control, e.g., in single-molecule…

Quantum Physics · Physics 2019-11-25 Nicole Yunger Halpern

Statistical thermodynamics is valuable as a conceptual structure that shapes our thinking about equilibrium thermodynamic states. A cloud of unresolved questions surrounding the foundations of the theory could lead an impartial observer to…

Statistical Mechanics · Physics 2025-10-31 O. B. Ericok , J. K. Mason

Microcanonical thermodynamics allows the application of statistical mechanics both to finite and even small systems and also to the largest, self-gravitating ones. However, one must reconsider the fundamental principles of statistical…

Statistical Mechanics · Physics 2009-11-11 D. H. E. Gross , J. F. Kenney

We introduce and analyze the notion of mutual entropy-production (MEP) in autonomous systems. Evaluating MEP rates is in general a difficult task due to non-Markovian effects. For bipartite systems, we provide closed expressions in various…

Statistical Mechanics · Physics 2015-06-16 Giovanni Diana , Massimiliano Esposito

The systematics of bulk entropy production in experimental data on A+A, p+p and e+e- interactions at high energies and large mu_B is discussed. It is proposed that scenarios with very early thermalization, such as Landau's hydrodynamical…

Nuclear Experiment · Physics 2008-11-26 Peter Steinberg
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