25 papers · ranked by Valyu relevance
A. L. Kuzemsky
The thermodynamic limit in statistical thermodynamics of many-particle systems is an important but often overlooked issue in the various applied studies of condensed matter physics. To settle this issue, we review tersely the past and present disposition of thermodynamic limiting procedure in the structure of the…
Antonio M. Scarfone
A challenging frontier in physics concerns the study of complex and disordered systems. They are characterized by an elevated level of interconnection and interaction between the parts, with a richer global dynamic, which gives rise to the collective emerging behaviour of the entire system that are no longer recognized…
Themis Matsoukas
Statistical thermodynamics has a universal appeal that extends beyond molecular systems, and yet, as its tools are being transplanted to fields outside physics, the fundamental question, what is thermodynamics, has remained unanswered. We answer this question here. Generalized statistical thermodynamics is a…
Hong Qian, Antonio Prados
Statistical counting ad infinitum is the holographic observable to a statistical dynamics with finite states under independent and identically distributed N sampling. Entropy provides the infinitesimal probability for an observed empirical frequency $ν^$ with respect to a probability prior $p$, when $ν^\neqp$ as…
Lamberto Rondoni, Vincenzo Di Florio, Eun-jin Kim
We review, under a modern light, the conditions that render the Boltzmann equation applicable. These are conditions that permit probability to behave like mass, thereby possessing clear and concrete content, whereas generally, this is not the case. Because science and technology are increasingly interested in small…
Pierre Baudot
Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types. These studies raised important questions regarding the statistical meaning of the resulting…
Arto Annila, Karo Michaelian
Evolution is customarily perceived as a biological process. However, when formulated in terms of physics, evolution is understood to entail everything. Based on the axiom of everything comprising quanta of actions (e.g., quanta of light), statistical physics describes any system evolving toward thermodynamic balance…
David Wallace
Through extended consideration of two wide classes of case studies dilute gases and linear systems — I explore the ways in which assumptions of probability and irreversibility occur in contemporary statistical mechanics, where the latter is understood as primarily concerned with the derivation of quantitative…
Petr Jizba, Jan Korbel
During the last few decades, the notion of entropy has become omnipresent in many scientific disciplines, ranging from traditional applications in statistical physics and chemistry, information theory, and statistical estimation to more recent applications in biology, astrophysics, geology, financial markets, or social…
Sergio Chibbaro, Lamberto Rondoni, Angelo Vulpiani
1 Sorbonne Universit´es, UPMC Univ Paris 06, CNRS, UMR7190, Institut Jean Le Rond d'Alembert, F-75005 Paris, (France) 2 Dip. Scienze Matematiche, Politecnico di Torino, C. Duca degli Abruzzi 24, Torino. 3 INFN, Sezione di Torino, Via P. Giuria 1, Torino (Italy). 4 Dipartimento di Fisica, Universit`a"La Sapienza" Roma…
Arnold Neumaier
This paper presents the thermal interpretation of quantum physics. The insight from Part I of this series that Born's rule has its limitations – hence cannot be the foundation of quantum physics – opens the way for an alternative interpretation: the thermal interpretation of quantum physics. It gives new foundations…
Alberto Robledo, Olimpia Lombardi, Sebastian Fortin
We address the paradoxical transformation of a classical-mechanical particle motion when the space and time scales of observation pass below the uncertainty principle threshold. This is analyzed in the language of classical statistical mechanics, considering specifically many-particle systems inhomogeneous along one…
M. Kurzynski, P. Chelminiak
Biological molecular machines are enzymes that simultaneously catalyze two processes, one donating free energy and second accepting it. Recent studies show that most native protein enzymes have a rich stochastic dynamics of conformational transitions which often manifests in fluctuating rates of the catalyzed processes…
Authors not listed
Gibbs’ paradox—the apparent discontinuity in mixing entropy for gases of varying similarity and the seeming reversibility of mixing-separation cycles—has resisted fully satisfactory resolution for 150 years. We present a solution based on categorical state theory, which posits that physical con f igurations are…
Barbara Drossel
This article is devoted to the relation between the second law of thermodynamics, which applies to closed macroscopic systems consisting of an extremely large number of particles, such as liquids or gases, and classical or quantum mechanics, which are theories that describe systems of interacting particles on a…
Jae S. Choi
There are two complementary approaches to thermodynamics: an empirical, phenomenological representation of macroscopic states and a model-based, statistical-mechanical representation of microscopic states. If only a few energy transformation steps are involved, macroscopic quantities such as energy and entropy can be…
D. Lairez
Even today, the concept of entropy is perceived by many as quite obscure. The main difficulty is analyzed as being fundamentally due to the subjectivity and anthropocentrism of the concept that prevent us to have a sufficient distance to embrace it. However, it is pointed out that the lack of coherence of certain…
Authors not listed
Relation between triple point temperature and the Rydberg constant based on the semi-phenomenological approach is found. To explain squared number 17 set in factor of proportionality, we use the Poisson distribution to be valid for some groups of thermal vibrations in pure water. We formulate a theorem explaining…
Mikhail I. Katsnelson, Yuri I. Wolf, Eugene V. Koonin
Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics sufficient to adequately describe, model and explain the evolution of biological…
Matjaž Perc
The fact that relatively simple entities, such as particles or neurons, or even ants or bees or humans, give rise to fascinatingly complex behavior when interacting in large numbers is the hallmark of complex systems science. Agent-based models are frequently employed for modeling and obtaining a predictive…
Martin Girard
Polymer physics has arisen as a pillar of understanding behavior of intrinsically disordered proteins. Behavior of polymers can be understood in terms of generic behavior. Specifically, phase behavior can be understood in terms of solvent quality and chain length. The theory is well established for homopolymers, and…
Umberto Lucia, Giulia Grisolia
Causality is the relationship between causes and effects. Following Relativity, any cause of an event must always be in the past light cone of the event itself, but causes and effect must always be related to some interactions. In this paper, causality is developed as a consequence of the analysis of the Einstein…
Umberto Lucia, Giulia Grisolia
Causality is the relationship between causes and effects. Following Relativity, any cause of an event must always be in the past light cone of the event itself, but causes and effect must always be related to some interactions. In this paper, causality is developed as a consequence of the analysis of the Einstein…
Frank Tipler
Quantum chemists have recorded a huge number of data points which standard quantum mechanics cannot interpret. Many-Worlds quantum mechanics can. Many-Worlds quantum mechanics differs from standard quantum mechanics because in Many-Worlds, the wave function is a relative density of universes in the multiverse amplitude…
Nava Leibovich
Revealing interactions in complex systems from observed collective dynamics constitutes a fundamental inverse problem in science. Some methods may reveal undirected network topology, e.g., using node-node correlation. Yet, the direction of the interaction, thus a causal inference, remains to be determined - especially…