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In this paper I am presenting an overview on several topics related to nonequilibrium fluctuations in small systems. I start with a general discussion about fluctuation theorems and applications to physical examples extracted from physics…

Statistical Mechanics · Physics 2007-05-23 F. Ritort

This thesis is dedictaed to the study of fluctuation and correlation observables of hadronic equilibrium systems. The statistical hadronization model of high energy physics, in its ideal, i.e. non-interacting, gas approximation will be…

Nuclear Theory · Physics 2010-08-13 Michael Hauer

Spatial patterns are widely observed in numerous nonequilibrium natural systems, often undergoing complex transitions and bifurcations, thereby exhibiting significant importance in many physical and biological systems such as embryonic…

Biological Physics · Physics 2024-12-17 Jie Su , Wei Wu , Denis Patterson , Simon Asher Levin , Jin Wang

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny , B. Shergelashvili

Life is characterized by a myriad of complex dynamic processes allowing organisms to grow, reproduce, and evolve. Physical approaches for describing systems out of thermodynamic equilibrium have been increasingly applied to living systems,…

Biological Physics · Physics 2020-12-16 Xiaona Fang , Karsten Kruse , Ting Lu , Jin Wang

Pattern-forming nonequilibrium systems are ubiquitous in nature, from driven quantum matter and biological life forms to atmospheric and interstellar gases. Identifying universal aspects of their far-from-equilibrium dynamics and statistics…

Statistical Mechanics · Physics 2026-03-03 Vili Heinonen , Abel J. Abraham , Jonasz Słomka , Keaton J. Burns , Pedro J. Sáenz , Jörn Dunkel

Plants solve complex problems without centralized control, relying instead on growth-driven dynamics to sense, navigate, and optimize resource acquisition. This review presents a unified physical framework for understanding plant behavior…

Other Condensed Matter · Physics 2026-04-24 Yasmine Meroz

Relevant and fundamental concepts of the statistical mechanical theory of classical liquids are ordinarily introduced in the context of the description of thermodynamic equilibrium states. This makes explicit reference to probability…

Statistical Mechanics · Physics 2024-01-30 O. Joaquín-Jaime , R. Peredo-Ortiz , M. Medina-Noyola , L. F. Elizondo-Aguilera

Main aim of this topical issue is to report recent advances in noisy nonequilibrium processes useful to describe the dynamics of ecological systems and to address the mechanisms of spatio-temporal pattern formation in ecology both from the…

Biological Physics · Physics 2009-11-13 Astero Provata , Igor M. Sokolov , Bernardo Spagnolo

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al.,…

Populations and Evolution · Quantitative Biology 2007-12-08 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

Environmental science almost invariably proposes problems of extreme complexity, typically characterized by strongly nonlinear evolution dynamics. The systems under investigation have many degrees of freedom - which makes them complicated -…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Speranza , V. Lucarini

We present a review of nonequilibrium phase transitions in mass-transport models with kinetic processes like fragmentation, diffusion, aggregation, etc. These models have been used extensively to study a wide range of physical problems. We…

Statistical Mechanics · Physics 2010-11-16 Gaurav P. Shrivastav , Varsha Banerjee , Sanjay Puri

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between flow-field…

Computational Physics · Physics 2020-08-07 Tianbai Xiao

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection…

Statistical Mechanics · Physics 2011-01-18 D. Kharchenko , V. Kharchenko , I. Lysenko

Despite the importance of non-equilibrium statistical mechanics in modern physics and related fields, the topic is often omitted from undergraduate and core-graduate curricula. Key aspects of non-equilibrium physics, however, can be…

Statistical Mechanics · Physics 2021-11-03 Daniel M. Zuckerman , John D. Russo

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

We review some applications of fractional calculus developed by the author (partly in collaboration with others) to treat some basic problems in continuum and statistical mechanics. The problems in continuum mechanics concern mathematical…

Statistical Mechanics · Physics 2012-01-05 Francesco Mainardi

We study the mechanisms of pattern formation for vegetation dynamics in water-limited regions. Our analysis is based on a set of two partial differential equations (PDEs) of reaction-diffusion type for the biomass and water and one ordinary…

Dynamical Systems · Mathematics 2023-03-24 Konstantinos Spiliotis , Lucia Russo , Francesco Giannino , Constantinos Siettos