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Several authors have hypothesized that ecological systems are subject to thermodynamic optimization, which, if proven correct, could represent a long sought general principle of organization in ecology. Although there have been recent…

Quantitative Methods · Quantitative Biology 2011-11-09 Santiago R. Doyle , Florencia Carusela , Sebastián Guala , Fernando Momo

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

Data Structures and Algorithms · Computer Science 2020-11-17 Michel Schellekens

Boltzmann introduced in the 1870's a logarithmic measure for the connection between the thermodynamical entropy and the probabilities of the microscopic configurations of the system. His entropic functional for classical systems was…

Statistical Mechanics · Physics 2016-08-19 Constantino Tsallis

Through the consideration of spherically symmetric gravitating systems consisting of perfect fluids with linear equation of state constrained to be in a finite volume, an account is given of the properties of entropy at conditions in which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Pesci

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

We demonstrate that Shannon's information entropy and the thermodynamic entropy of Boltzmann and Gibbs are quantitatively equivalent for real condensed-matter systems. By interpreting atomic configurations as information sources, we compute…

Statistical Mechanics · Physics 2025-12-03 Dallin Fisher , Qi-Jun Hong

The particle in an expanding/contracting 1-dimension box is revisited in action-angle like variables with direct thermodynamic interpretation. An angle dependent potential is proposed accurately describing the mechanical behavior while also…

Classical Physics · Physics 2026-04-01 Adrian Faigon

The rapid scaling of artificial intelligence models has revealed a fundamental tension between model capacity (storage) and inference efficiency (computation). While classical information theory focuses on transmission and storage limits,…

Information Theory · Computer Science 2026-01-01 Jianfeng Xu , Zeyan Li

Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate…

Quantum Physics · Physics 2015-06-23 Ariel Caticha , Daniel Bartolomeo , Marcel Reginatto

We propose a theoretical model for species that is focused on intrinsic organization and processes. Specifically, we regard species to be networks of organisms integrated by reproductive mechanisms (e.g., conjugation, meiosis, syngamy)…

Populations and Evolution · Quantitative Biology 2008-08-13 David Kizirian , Maureen A. Donnelly

What makes living things special is how they manage matter, energy, and entropy. A general theory of organismal metabolism should therefore be quantified in these three currencies while capturing the unique way they flow between individuals…

Populations and Evolution · Quantitative Biology 2024-08-27 Marko Jusup , Michael R. Kearney

The organism is a fundamental concept in biology. However there is no universally accepted, formal, and yet broadly applicable definition of what an organism is. Here we introduce a candidate definition. We adopt the view that the…

Other Quantitative Biology · Quantitative Biology 2016-12-02 Eric Libby , Joshua Grochow , Simon DeDeo , David Wolpert

A primary motivation for our research in Digital Ecosystems is the desire to exploit the self-organising properties of biological ecosystems. Ecosystems are thought to be robust, scalable architectures that can automatically solve complex,…

Neural and Evolutionary Computing · Computer Science 2009-10-05 Gerard Briscoe , Philippe De Wilde

We explore a recently introduced quantum thermodynamic entropy $S^Q_{univ}$ of a pure state of a composite system-environment computational "universe" with a simple system $\mathcal{S}$ coupled to a constant temperature bath $\mathcal{E}$.…

Quantum Physics · Physics 2022-11-28 Phillip C. Lotshaw , Michael E. Kellman

This paper presents a conceptual model describing the medium and long-term co-evolution of natural and socio-economic subsystems of Earth. An economy is viewed as an out-of-equilibrium dissipative structure that can only be maintained with…

General Economics · Economics 2022-05-09 Éric Herbert , and Gael Giraud , Aurélie Louis-Napoléon , Christophe Goupil

The Sinkhorn algorithm is the most popular method for solving the entropy minimization problem called the Schr\"odinger problem: in the non-degenerate cases, the latter admits a unique solution towards which the algorithm converges…

Optimization and Control · Mathematics 2023-02-27 Aymeric Baradat , Elias Ventre

The question how complex systems become more organized and efficient with time is open. Examples are, the formation of elementary particles from pure energy, the formation of atoms from particles, the formation of stars and galaxies, the…

Physics and Society · Physics 2017-01-17 Georgi Georgiev , Atanu Chatterjee , Germano Iannacchione

A notion of biologic system or just a system implies a functional wholeness of comprising system components. Positive and negative feedback are the examples of how the idea to unite anatomical elements in the whole functional structure was…

Other Quantitative Biology · Quantitative Biology 2014-06-03 Garri Davydyan

Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemical network is a central issue in systems biology. In this task, it is important to devise reasonable…

Molecular Networks · Quantitative Biology 2009-11-13 C. Martelli , A. De Martino , E. Marinari , M. Marsili , I. Perez Castillo

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

Materials Science · Physics 2026-03-10 J. A. Sekhar