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Recent measurements of durations of non-equilibrium processes provide valuable information on microscopic mechanisms and energetics. Comprehensive theory for corresponding experiments so far is well developed for single-particle systems…

统计力学 · 物理学 2020-09-04 David Voráč , Philipp Maass , Artem Ryabov

Non-reciprocal systems exhibit diverse dynamical phases whose character depends on the type and degree of non-reciprocity. In this study, we theoretically investigate dynamical structures in a mixture of non-reciprocally aligning polar…

软凝聚态物质 · 物理学 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed simple model has revealed a general mechanism by which such…

适应与自组织系统 · 物理学 2018-01-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

Over the last decade, the field of programmable self-assembly has seen an explosion in the diversity of crystal lattices that can be synthesized from DNA-coated colloidal nanometer- and micrometer-scale particles. The prevailing wisdom has…

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

种群与进化 · 定量生物学 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Synergistic and antagonistic interactions in multi-species populations - such as resource sharing and competition - result in remarkably diverse behaviors in populations of interacting cells, such as in soil or human microbiomes, or clonal…

种群与进化 · 定量生物学 2019-10-15 MattheW Badali , Anton Zilman

The direct effect of one eventon another can be defined and measured byholding constant all intermediate variables between the two.Indirect effects present conceptual andpractical difficulties (in nonlinear models), because they cannot be…

人工智能 · 计算机科学 2013-01-14 Judea Pearl

Phase separation has emerged as an essential concept for the spatial organization inside biological cells. However, despite the clear relevance to virtually all physiological functions, we understand surprisingly little about what phases…

生物物理 · 物理学 2022-08-10 David Zwicker , Liedewij Laan

We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates. We show that in the absence of correlations between the coupling strengths,…

无序系统与神经网络 · 物理学 2025-12-29 Samuel Cure , Izaak Neri

Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study the properties of a model in this class where the birth…

统计力学 · 物理学 2009-11-11 Emilio Hernandez-Garcia , Cristobal Lopez

Interactions among living organisms, from bacteria colonies to human societies, are inherently more complex than interactions among particles and nonliving matter. Group interactions are a particularly important and widespread class,…

物理与社会 · 物理学 2013-01-11 Matjaz Perc , Jesús Gómez-Gardeñes , Attila Szolnoki , Luis M. Floría , Yamir Moreno

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

种群与进化 · 定量生物学 2015-09-15 Blake C. Stacey

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Tadeusz Platkowski

Biochemistry, ecology, and neuroscience are examples of prominent fields aiming at describing interacting systems that exhibit non-trivial couplings to complex, ever-changing environments. We have recently shown that linear interactions and…

统计力学 · 物理学 2022-08-10 Giorgio Nicoletti , Daniel Maria Busiello

There has been a long-standing and at times fractious debate whether complex and large systems can be stable. In ecology, the so-called `diversity-stability debate' arose because mathematical analyses of ecosystem stability were either…

动力系统 · 数学 2015-09-02 Paul Kirk , Delphine M. Y. Rolando , Adam L. MacLean , Michael P. H. Stumpf

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

动力系统 · 数学 2026-03-12 Samit Ghosh

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

软凝聚态物质 · 物理学 2016-12-08 Suman Dutta , J. Chakrabarti

Complex system arises as a result of the nonlinear interactions between components. In particular, the evolutionary dynamics of a multivariate system encodes the ways in which different variables interact with each other individually or in…

信息论 · 计算机科学 2020-04-22 Peishi Jiang , Praveen Kumar

In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equations. For various such applications the environment has an…

动力系统 · 数学 2022-05-12 Huy Huy , Peter E. Kloeden , Christian Pötzsche

We show that extremely simple systems of a not too large number of particles can be simultane- ously thermally stable and complex. To such an end, we extend the statistical complexity's notion to simple configurations of non-interacting…

统计力学 · 物理学 2018-02-23 F. Pennini , A. Plastino