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The collective behavior of numerous animal species, including insects, exhibits scale-free behavior indicative of the critical (second-order) phase transition. Previous research uncovered such phenomena in the behavior of honeybees, most…

Quantitative Methods · Quantitative Biology 2025-07-17 Ivan Shpurov , Tom Froese

We propose a new model in order to study behaviors of self-organized system such as a group of animals. We assume that the individuals have two degrees of freedom corresponding one to their internal state and the other to their external…

Biological Physics · Physics 2015-10-23 P. The Nguyen , V. Thanh Ngo , H. T. Diep

Systems undergoing an equilibrium phase transition from a liquid state to an amorphous solid state exhibit certain universal characteristics. Chief among these are the fraction of particles that are randomly localized and the scaling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Weiqun Peng , Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

We recently proposed a model coupling the evolution of the opinions of the individual with the local network topology. The opinion dynamics is based on the Bounded Confidence model. The social networks is based on a group concept where each…

Physics and Society · Physics 2010-03-19 F. Gargiulo , S. Huet

We develop an analytically tractable model featuring heterogeneous workers and firms, where labor markets clear through a one-to-many sorting mechanism. Firms determine both the number and composition of their employees, shaping (1) the…

Theoretical Economics · Economics 2026-03-11 Paweł Gola , Haozhou Tang

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

Populations and Evolution · Quantitative Biology 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen

We consider renewal stochastic processes generated by non-independent events from the perspective that their basic distribution and associated generating functions obey the statistical-mechanical structure of systems with interacting…

Statistical Mechanics · Physics 2015-05-27 Jorge Velázquez , Alberto Robledo

In certain modified gravity theories that include additional scalar degrees of freedom, compact objects such as black holes and neutron stars may undergo a process known as spontaneous scalarization, in which the scalar field is suddenly…

General Relativity and Quantum Cosmology · Physics 2025-09-16 João Vitor M. Muniz , Néstor Ortiz , Raissa F. P. Mendes

Phase transitions generically occur in random matrix models as the parameters in the joint probability distribution of the random variables are varied. They affect all main features of the theory and the interpretation of statistical models…

Statistical Mechanics · Physics 2007-05-23 G. M. Cicuta

Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may,…

Molecular Networks · Quantitative Biology 2013-05-29 Johannes Norrell , Joshua E. S. Socolar

Social order cannot be considered as a stable phenomenon because it contains an order of reproduced expectations. When the expectations operate upon one another, they generate a non-linear dynamics that processes meaning. Specific meaning…

Physics and Society · Physics 2009-11-06 Loet Leydesdorff

Recent studies have shown that one-dimensional driven systems can exhibit phase separation even if the dynamics is governed by local rules. The ABC model, which comprises three particle species that diffuse asymmetrically around a ring,…

Statistical Mechanics · Physics 2016-08-31 M. Clincy , B. Derrida , M. R. Evans

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

Applications · Statistics 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

The organization of interactions in complex systems can be described by networks connecting different units. These graphs are useful representations of the local and global complexity of the underlying systems. The origin of their…

Physics and Society · Physics 2015-09-30 Luís F Seoane , Ricard Solé

Social hierarchy is central to decision-making in the coordinated movement of many swarming species. Here we propose a hierarchical swarm model in the spirit of the Vicsek model of self-propelled particles. We show that, as the hierarchy…

Biological Physics · Physics 2020-10-28 Tingting Xue , Xu Li , Peter Grassberger , Li Chen

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

Social foraging is a widespread form of animal foraging in which groups of individuals coordinate their decisions to exploit resources in the environment. Animals show a variety of social structures from egalitarian to hierarchical. In this…

Populations and Evolution · Quantitative Biology 2025-03-05 Lisa Blum Moyse , Ahmed El Hady

We introduce the simplest model which relates the emergence of collective social/economic phenomena to the existence of a (possibly self-organized) percolation transition. We suggest a series of extensions to financial, economic, political…

adap-org · Physics 2009-10-31 Sorin Solomon , Gerard Weisbuch

Classical approaches like process algebras or labelled transition systems deal with static composition to model non-trivial concurrent or distributed systems; this is not sufficient for systems with dynamic architecture and with variable…

Software Engineering · Computer Science 2011-12-30 Christian Attiogbé

The regulation of the cell state is a complex process involving several components. These complex dynamics can be modeled using Boolean networks, allowing us to explain the existence of different cell states and the transition between them.…

Molecular Networks · Quantitative Biology 2010-01-28 Elke K. Markert , Nils Baas , Arnold J. Levine , Alexei Vazquez