Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks

Nguyen, Basile; Seifert, Udo

doi:10.1103/physreve.102.022101

Cited by 19 publications

(24 citation statements)

References 45 publications

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“…Recent advances in stochastic thermodynamics have highlighted entropy production as a quantity to measure a system's distance from equilibrium [14][15][16][17][18][19] . While much work has been done investigating the critical behavior of entropy production at continuous and discontinuous phase transitions [20][21][22][23][24][25][26][27][28] , dynamical phase transitions in spatially extended systems have only recently been investigated, and to date no non-analytic behavior in the entropy production has been observed 29,30 .…”

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confidence: 99%

Irreversibility in dynamical phases and transitions

2021

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Living and non-living active matter consumes energy at the microscopic scale to drive emergent, macroscopic behavior including traveling waves and coherent oscillations. Recent work has characterized non-equilibrium systems by their total energy dissipation, but little has been said about how dissipation manifests in distinct spatiotemporal patterns. We introduce a measure of irreversibility we term the entropy production factor to quantify how time reversal symmetry is broken in field theories across scales. We use this scalar, dimensionless function to characterize a dynamical phase transition in simulations of the Brusselator, a prototypical biochemically motivated non-linear oscillator. We measure the total energetic cost of establishing synchronized biochemical oscillations while simultaneously quantifying the distribution of irreversibility across spatiotemporal frequencies.

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confidence: 99%

Irreversibility in dynamical phases and transitions

2021

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“…Note that Σ is continuous but non-differentiable at extinctions. This means that, under a standard classification scheme [59][60][61][62][63], extinctions are second-order nonequilibrium phase transitions. (That Σ is not differentiable with respect to φ at extinctions is shown rigorously in Appendix D.)…”

Section: Application: Darwinian Evolution In a Chemostatmentioning

confidence: 99%

“…In this appendix, we show that the steadystate EP rate is continuous but not differentiable at the critical dilution rate. This means that extinctions are second-order nonequilibrium phase transitions [59][60][61][62][63].…”

Section: Appendix A: Degradation Reactionsmentioning

confidence: 99%

A thermodynamic threshold for Darwinian evolution

Kolchinsky¹

2021

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Understanding the thermodynamics of Darwinian evolution has important implications for biophysics, evolutionary biology, and the study of the origin of life. We show that in a population of nonequilibrium autocatalytic replicators, the critical selection coefficient (minimal fitness difference visible to selection) is lower bounded by the Gibbs free energy dissipated per replication event. This bound presents a fundamental thermodynamic threshold for Darwinian evolution, analogous to thresholds that arise from finite population sizes or large mutation rates. Our results apply to a large class of molecular replicators, including many types of multistep autocatalytic mechanisms and autocatalytic sets. We illustrate our approach on a model of simple replicators in a chemostat.

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“…It is the phenomenon of bistability in the presence of finite carrying capacity. The bistability is an omnipresent feature of many physical, chemical, and biological systems; there is a lot of current interest in its presence in the phenomena witnessed in quantum [61][62][63], thermal [64][65][66], electrical [67], optical [68,69], and mechanical [70][71][72][73] systems. Consequently, it is exciting to find the bistability in an eco-evolutionary dynamical scenario and that too resulting in counterintuitive conclusions: e.g., the bistability makes it possible to sustain cooperation-and hence to avert the TOC-in the finite population even when every individual faces the prisoner's dilemma.…”

Section: The Mechanismmentioning

confidence: 99%

Game-environment feedback dynamics in growing population: Effect of finite carrying capacity

Bairagya,

Mondal,

Chowdhury

et al. 2021

Preprint

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The tragedy of the commons (TOC) is an unfortunate situation where a shared resource is exhausted due to uncontrolled exploitation by the selfish individuals of a population. Recently, the paradigmatic replicator equation has been used in conjunction with a phenomenological equation for the state of the shared resource to gain insight into the influence of the games on the TOC. The replicator equation, by construction, models a fixed infinite population undergoing microevolution. Thus, it is unable to capture any effect of the population growth and the carrying capacity of the population although the TOC is expected to be dependent on the size of the population. Therefore, in this paper, we present a mathematical framework that incorporates the density dependent payoffs and the logistic growth of the population in the eco-evolutionary dynamics modelling the game-resource feedback. We discover a bistability in the dynamics: a finite carrying capacity can either avert or cause the TOC depending on the initial states of the resource and the initial fraction of cooperators. In fact, depending on the type of strategic game-theoretic interaction, a finite carrying capacity can either avert or cause the TOC when it is exactly the opposite for the corresponding case with infinite carrying capacity.

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Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks

Cited by 19 publications

References 45 publications

Irreversibility in dynamical phases and transitions

Irreversibility in dynamical phases and transitions

A thermodynamic threshold for Darwinian evolution

Game-environment feedback dynamics in growing population: Effect of finite carrying capacity

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