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Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

It is usually assumed, in classical statistical mechanics, that the temperature should coincide, apart from a suitable constant factor, with the mean kinetic energy of the particles. We show that this is not the case for \FPU systems, in…

Statistical Mechanics · Physics 2009-11-10 A. Carati , P. Cipriani , L. Galgani

The behaviour of a di-nuclear system in the regime of strong pairing correlations is studied with the methods of statistical mechanics. It is shown that the thermal averaging is strong enough to assure the application of thermodynamical…

Nuclear Theory · Physics 2011-02-28 Karl-Heinz Schmidt , Beatriz Jurado

Building on the fundamental equation, this study revisits key thermodynamic concepts in a cohesive and innovative manner. It demonstrates the consistency of thermodynamic theory while addressing and clarifying common misconceptions and…

Statistical Mechanics · Physics 2025-07-04 Joaquim Anacleto

This paper is a natural continuation of a previous one by the author, which was concerned with the foundations of statistical thermodynamics far from equilibrium. One of the problems left open in that paper was the correct definition of…

Statistical Mechanics · Physics 2015-06-24 A. Carati

Many widely used models amount to an elaborate means of making up numbers--but once a number has been produced, it tends to be taken seriously and its source (the model) is rarely examined carefully. Many widely used models have little…

Methodology · Statistics 2022-09-28 Philip B. Stark

Thermodynamics could be seen as an expression of physics at a high epistemic level. As such, its potential as an inductive bias to help machine learning procedures attain accurate and credible predictions has been recently realized in many…

Machine Learning · Computer Science 2023-05-29 Elias Cueto , Francisco Chinesta

We extend on ideas from standard thermodynamics to show that temperature can be assigned to a general nonequilibrium quantum system. By choosing a physically motivated complete set of observables and expanding the system state thereupon,…

Quantum Physics · Physics 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

The thermal and mechanical behaviors of powders are important for various additive manufacturing technologies. For powder bed fusion, capturing the temperature profile and the packing structure of the powders prior to melting is challenging…

Soft Condensed Matter · Physics 2024-02-26 Sudeshna Roy , Hongyi Xiao , Vasileios Angelidakis , Thorsten Pöschel

In the past 50 years, calorimeters have become the most important detectors in many particle physics experiments, especially experiments in colliding-beam accelerators at the energy frontier. In this paper, we describe and discuss a number…

Instrumentation and Detectors · Physics 2017-04-04 Michele Livan , Richard Wigmans

The low-temperature generalization of the mode-coupling equations corresponds to the dynamics of mean-field disordered models in the glassy phase. The system never achieves equilibrium, preserving the memory of the time elapsed after the…

Disordered Systems and Neural Networks · Physics 2009-10-28 Leticia F. Cugliandolo , Jorge Kurchan

Thermal models are commonly used to interpret heavy-ion data on particle yields and spectra and to extract the conditions of chemical and thermal freeze-out in heavy-ion collisions. I discuss the usefulness and limitations of such thermal…

Nuclear Theory · Physics 2008-11-26 Ulrich Heinz

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

Astrophysics · Physics 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

Chemical reactions on metal surfaces are important in various processes such as heterogeneous catalysis and nanostructure growth. At moderate or lower temperatures, these reactions generally follow the minimum energy path and temperature…

Chemical Physics · Physics 2022-01-19 Pai Li , Xiongzhi Zeng , Zhenyu Li

Recent progress in the synthesis and processing of nano-structured materials and systems calls for an improved understanding of thermal properties on small length scales. In this context, the question whether thermodynamics and, in…

Materials Science · Physics 2007-05-23 M. Hartmann , G. Mahler , O. Hess

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

General Finance · Quantitative Finance 2021-02-03 Sergey Rashkovskiy

Providing students of introductory thermal physics with a plot of the heat capacities of many low density gases as a function of temperature allows them to look for systematic trends. Specifically, large amounts of heat capacity data allow…

Physics Education · Physics 2023-08-08 J. D. D. Martin

We introduce the idea of weakly coherent collisional models, where the elements of an environment interacting with a system of interest are prepared in states that are approximately thermal, but have an amount of coherence proportional to a…

We discuss a class of mechanical models of thermometers and their minimal requirements to determine the temperature for systems out of the common scope of thermometry. In particular we consider: 1) anharmonic chains with long time of…

Statistical Mechanics · Physics 2017-11-08 M. Baldovin , A. Puglisi , A. Sarracino , A. Vulpiani

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