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The third law of thermodynamics dictates that the entropy of materials becomes zero as temperature ($T$) approaches zero. Contrarily, glass and other similar materials exhibit nonzero entropy at $T=0$, which contradicts the third law. For…

Statistical Mechanics · Physics 2026-02-25 Koun Shirai

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

We present an axiomatic framework for thermodynamics that incorporates information as a fundamental concept. The axioms describe both ordinary thermodynamic processes and those in which information is acquired, used and erased, as in the…

Quantum Physics · Physics 2018-05-09 Austin Hulse , Benjamin Schumacher , Michael D. Westmoreland

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…

Mathematical Physics · Physics 2014-11-21 Gian Paolo Beretta , Enzo Zanchini

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

Statistical Mechanics · Physics 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

The example provided in the comment [arXiv:0803.2241] concerns a situation where the system is initially at negative temperature. It is known that in such cases the Law of Entropy Decrease holds. Nevertheless, this does not challenge the…

Quantum Physics · Physics 2008-04-09 Michele Campisi

This paper provides a perspective on applying the concepts of information thermodynamics, developed recently in non-equilibrium statistical physics, to problems in theoretical neuroscience. Historically, information and energy in…

Neurons and Cognition · Quantitative Biology 2024-09-27 Jan Karbowski

The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional…

Information Theory · Computer Science 2018-01-31 Rui A. P. Perdigão

A unification of thermodynamics and information theory is proposed. It is argued that similarly to the randomness due to collisions in thermal systems, the quenched randomness that exists in data files in informatics systems contributes to…

Information Theory · Computer Science 2007-07-13 Oded Kafri

Heat flow between a large ``bath'' and a smaller system brings them progressively closer to thermal equilibrium while increasing their entropy. Deviations from this trend are fluctuations involving a small fraction of a statistical ensemble…

Quantum Physics · Physics 2008-04-15 Noam Erez , Goren Gordon , Mathias Nest , Gershon Kurizki

An information theory model is used to construct a molecular explanation why hydrophobic solvation entropies measured in calorimetry of protein unfolding converge at a common temperature. The entropy convergence follows from the weak…

Chemical Physics · Physics 2016-09-08 Shekhar Garde , Gerhard Hummer , Angel E. Garcia , Michael E. Paulaitis , Lawrence R. Pratt

Quantum mechanics and information theory are among the most important scientific discoveries of the last century. Although these two areas initially developed separately it has emerged that they are in fact intimately related. In this…

Quantum Physics · Physics 2009-11-07 V. Vedral

The irreversible entropy increase described by the second law of thermodynamics is fundamentally tied to thermalization and the emergence of equilibrium. In the first part of our work (Ref: arXiv.2503.04152), we constructed an isolated gas…

Quantum Physics · Physics 2025-11-24 Xue-Yi Guo

The deep connection between thermodynamics, computation, and information is now well established both theoretically and experimentally. Here, we extend these ideas to show that thermodynamics also places fundamental constraints on…

Biological Physics · Physics 2014-10-08 Alex H. Lang , Charles K. Fisher , Thierry Mora , Pankaj Mehta

We investigate the concept of entropy in probabilistic theories more general than quantum mechanics, with particular reference to the notion of information causality recently proposed by Pawlowski et. al. (arXiv:0905.2992). We consider two…

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

Statistical Mechanics · Physics 2011-06-13 P. D. Gujrati

Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas…

General Physics · Physics 2007-05-23 Bin Zhou

The event horizon is a source of irreversibility, analogous to statistical irreversibility. This is why for systems with an event horizon there is no difference between quantum and thermal fluctuations. Quantum processes of quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-16 G. E. Volovik

The evident contrast between the time symmetry of fundamental microscopic laws and the time asymmetry of macroscopic processes is a challenging physical problem. The observation of unitary evolution of a general physical system by an…

Statistical Mechanics · Physics 2022-02-24 Miroslav Holeček

In an Information machine system's dynamics gets affected by the attached information reservoir. Second law of thermodynamics can be apparently violated for this case. In this article we have derived second law for an information machine,…

Statistical Mechanics · Physics 2018-06-27 Shubhashis Rana