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Conversations about weather, environment, health, cuisine, and even politics, all involve the word "temperature". It was an attempt to understand the working of heat engines that gave the temperature a clear definition. In this Note we put…

Statistical Mechanics · Physics 2025-09-23 Miroslav Grmela

Pressure is the mechanical force per unit area that a confined system exerts on its container. In thermal equilibrium, it depends only on bulk properties (density, temperature, etc.) through an equation of state. Here we show that in a wide…

Statistical Mechanics · Physics 2015-12-17 A. P. Solon , Y. Fily , A. Baskaran , M. E. Cates , Y. Kafri , M. Kardar , J. Tailleur

The physical foundations of a variety of emerging technologies --- ranging from the applications of quantum entanglement in quantum information to the applications of nonequilibrium bulk and interface phenomena in microfluidics, biology,…

Quantum Physics · Physics 2014-03-25 Gian Paolo Beretta , Enzo Zanchini

One of the main challenges of the industry today is to face its impact on global warming considering that the greenhouse effect problem is not be solved completely yet. Magnetic refrigeration represents an environment-safe refrigeration…

Classical Physics · Physics 2010-11-09 Umberto Lucia

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

Moist-air norms and inner-products are currently used in atmospheric science for computing dry or moist singular vectors and for determining forecast errors or sensitivity to observations based on tangent linear and adjoint models. A new…

Atmospheric and Oceanic Physics · Physics 2015-10-21 Pascal Marquet , Jean-François Mahfouf

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

Statistical Mechanics · Physics 2015-08-10 Lina Gu , Jiulin Du

Equilibrium is a rather ideal situation, the exception rather than the rule in Nature. Whenever the external or internal parameters of a physical system are varied its subsequent relaxation to equilibrium may be either impossible or take…

Statistical Mechanics · Physics 2016-10-04 Leticia F. Cugliandolo

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

The notion of mean temperature is crucial for a number of fields including climate science, fluid dynamics and biophysics. However, so far its correct thermodynamic foundation is lacking or even believed to be impossible. A physically…

Statistical Mechanics · Physics 2022-09-02 A. E. Allahverdyan , S. G. Gevorkian , Yu. A. Dyakov , Pao-Kuan Wang

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

Statistical Mechanics · Physics 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

Glass is an under-cooled liquid that very slowly relaxes towards the equilibrium crystalline state. Its energy balance is ill understood, since it is widely believed that the glassy state cannot be described thermodynamically. However, the…

Statistical Mechanics · Physics 2009-11-07 Theo M. Nieuwenhuizen

The microscopic explanation of entropy has been challenged from both experimental and theoretical point of view. The expression of entropy is derived from the first law of thermodynamics indicating that entropy or the second law of…

General Physics · Physics 2007-05-23 Jozsef Garai

A few decades after Hill's work on nano-thermodynamics, the development of a thermodynamic framework, to account consistently for the fluctuations of small systems due to their interactions with the surrounding environment, is still…

Statistical Mechanics · Physics 2019-09-23 Salvatore Calabrese , Lamberto Rondoni , Amilcare Porporato

Building on the recent solution for the spectrum of the non-commutative well in two dimensions, the thermodynamics that follows from it is computed. In particular the focus is put on an ideal fermion gas confined to such a well. At low…

High Energy Physics - Theory · Physics 2008-12-18 F G Scholtz , J Govaerts

Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium steady states in thermodynamically isolated systems.…

Statistical Mechanics · Physics 2019-08-06 Miroslav Bulíček , Josef Málek , Vít Průša

Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as…

Classical Physics · Physics 2021-11-01 Markus Lohmayer , Paul Kotyczka , Sigrid Leyendecker

We show that intensive thermodynamic parameters associated to additive conserved quantities can be naturally defined from a statistical approach in far-from-equilibrium steady-state systems, under few assumptions, and without any detailed…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

Reciprocal relations correlate fairly accurately a great variety of experimental results. Nevertheless, the concepts of statistical fluctuations, and microscopic reversibility - the bases of the accepted proof of the relations by Onsager -…

Chemical Physics · Physics 2007-05-23 Elias P. Gyftopoulos