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We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as…

Statistical Mechanics · Physics 2015-12-15 Davide Faranda , Martin Mihelich , Berengere Dubrulle

In many biological systems, natural selection acts simultaneously on multiple levels of organization. This scenario typically presents an evolutionary conflict between the incentive of individuals to cheat and the collective incentive to…

Populations and Evolution · Quantitative Biology 2022-02-04 Daniel B. Cooney , Yoichiro Mori

Compartmentalization of self-replicating molecules (templates) in protocells is a necessary step towards the evolution of modern cells. However, coexistence between distinct template types inside a protocell can be achieved only if there is…

Biological Physics · Physics 2013-02-19 J. F. Fontanari , M. Serva

We study nonequilibrium thermodynamics of complex information flows induced by interactions between multiple fluctuating systems. Characterizing nonequilibrium dynamics by causal networks (i.e., Bayesian networks), we obtain novel…

Statistical Mechanics · Physics 2013-11-07 Sosuke Ito , Takahiro Sagawa

Far-from-equilibrium phenomena are critical to all natural and engineered systems, and essential to biological processes responsible for life. For over a century and a half, since Carnot, Clausius, Maxwell, Boltzmann, and Gibbs, among many…

Statistical Mechanics · Physics 2023-09-14 Travis Leadbetter , Prashant K. Purohit , Celia Reina

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2010-07-07 Anton A. Winkler , Tobias Reichenbach , Erwin Frey

We study evolutionary processes induced by spatio-temporal dynamics in prebiotic evolution. Using numerical simulations we demonstrate that hypercycles emerge from complex interaction structures in multispecies systems. In this work we also…

Populations and Evolution · Quantitative Biology 2007-05-23 Pan-Jun Kim , Hawoong Jeong

The convergence to equilibrium for renormalised solutions to nonlinear reaction-diffusion systems is studied. The considered reaction-diffusion systems arise from chemical reaction networks with mass action kinetics and satisfy the complex…

Analysis of PDEs · Mathematics 2018-05-09 Klemens Fellner , Bao Q. Tang

In this paper, we deal with the equilibrium selection problem, which amounts to steering a population of individuals engaged in strategic game-theoretic interactions to a desired collective behavior. In the literature, this problem has been…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Lorenzo Zino , Mengbin Ye , Giuseppe Carlo Calafiore , Alessandro Rizzo

Equilibrium statistical mechanics provides a robust framework for characterizing phase transitions in systems whose microsopic dynamics are time-reversible. Efforts to develop and validate theoretical frameworks for time-irreversible,…

Soft Condensed Matter · Physics 2025-12-18 Stuart J. Thomson , Jack-William Barotta , Daniel M. Harris

Models of bacterial growth tend to be `irreversible', allowing for the number of bacteria in a colony to increase but not to decrease. By contrast, models of molecular self-assembly are usually `reversible', allowing for addition and…

Statistical Mechanics · Physics 2017-10-18 Katherine Klymko , Juan P. Garrahan , Stephen Whitelam

The present work deals with irreversible Universal thermodynamics. The homogenous and isotropic flat model of the universe is chosen as open thermodynamical system and non-equilibrium thermodynamics comes into picture due to the mechanism…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Subhajit Saha , Atreyee Biswas , Subenoy Chakraborty

Understanding the role of non-equilibrium driving in self-organization is crucial for developing a predictive description of biological systems, yet it is impeded by their complexity. The actin cytoskeleton serves as a paradigm for how…

Soft Condensed Matter · Physics 2020-12-22 Yuqing Qiu , Michael Nguyen , Glen M. Hocky , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

This paper shows how mesoscopic nonequilibrium thermodynamics can be applied to condensation and evaporation. By extending the normal set of thermodynamic variables with two internal variables, we are able to give a new theoretical…

Statistical Mechanics · Physics 2009-11-10 D. Bedeaux , S. Kjelstrup , J. M. Rubi

In a well-known paper, Jeremy England derived a bound on the free energy dissipated by a self-replicating system [England, "Statistical physics of self-replication", The Journal of Chemical Physics, 2013]. This bound is usually interpreted…

Statistical Mechanics · Physics 2024-09-25 Artemy Kolchinsky

In this paper we consider second order evolution equations with bounded damping. We give a characterization of a non uniform decay for the damped problem using a kind of observability estimate for the associated undamped problem.

Dynamical Systems · Mathematics 2016-01-14 Kaïs Ammari , Ahmed Bchatnia , Karim El Mufti

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics…

Statistical Mechanics · Physics 2023-06-27 Miguel Aguilera , Masanao Igarashi , Hideaki Shimazaki

In this paper a reduced one-dimensional moving boundary model is studied that describes the evolution of a biofilm driven by the presence of a reaction limiting substrate. Global well-posedness is established for the resulting parabolic…

Analysis of PDEs · Mathematics 2025-05-30 Patrick Guidotti , Christoph Walker

We present a general and systematic theory of non-equilibrium dynamics of multi-component fluid membranes, in general, and membranes containing transmembrane proteins, in particular. Developed based on a minimal number of principles of…

Soft Condensed Matter · Physics 2009-11-10 Michael A. Lomholt , Per L. Hansen , Ling Miao

The role of thermodynamics in the evolution of systems evolving under purely gravitational forces is not completely established. Both the infinite range and singularity in the Newtonian force law preclude the use of standard techniques.…

Astrophysics · Physics 2009-11-07 Peter Klinko , Bruce N. Miller
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