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Diffuse interface models are widely used to describe evolution of multi-phase systems of different nature. Dispersed "inclusions", described by the phase field distribution, are usually three dimensional objects. When describing elastic…

Geophysics · Physics 2021-01-13 Elizaveta Zipunova , Evgeny Savenkov

In this work, we have employed Monte Carlo calculations to study the Ising model on a 2D additive small-world network with long-range interactions depending on the geometric distance between interacting sites. The network is initially…

Statistical Mechanics · Physics 2024-09-04 R. A. Dumer , M. Godoy

We study a version of the Tangled Nature model of evolutionary ecology redefined in a phenotype space where mutants have properties correlated to their parents. The model has individual-based dynamics whilst incorporating species scale…

Populations and Evolution · Quantitative Biology 2016-09-08 Simon Laird , Henrik Jeldtoft Jensen

Social animals self-organise to create groups to increase protection against predators and productivity. One-to-one interactions are the building blocks of these emergent social structures and may correspond to friendship, grooming,…

Physics and Society · Physics 2021-06-02 Luis E C Rocha , Jan Ryckebusch , Koen Schoors , Matthew Smith

A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth phenomena. Using this model, it is shown that the application of…

Condensed Matter · Physics 2016-08-31 Hernan Makse

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Recent studies on the evolutionary dynamics of the Prisoner's Dilemma game in scale-free networks have demonstrated that the heterogeneity of the network interconnections enhances the evolutionary success of cooperation. In this paper we…

Populations and Evolution · Quantitative Biology 2009-11-13 J. Poncela , J. Gomez-Gardenes , L. M. Floria , Y. Moreno

In a semi-infinite geometry, a 1D, M-component model of biological evolution realizes microscopically an inhomogeneous branching process for $M \to \infty$. This implies in particular a size distribution exponent $\tau'=7/4$ for avalanches…

Statistical Mechanics · Physics 2009-10-31 E. Montevecchi , A. L. Stella

We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation time is the duration required for the extinction or mutation of…

Statistical Mechanics · Physics 2025-01-08 Rahul Chhimpa , Abha Singh , Avinash Chand Yadav

Species coexistence is a complex, multifaceted problem. At an equilibrium, coexistence requires two conditions: stability under small perturbations; and feasibility, meaning all species abundances are positive. Which of these two conditions…

Populations and Evolution · Quantitative Biology 2024-05-21 Stav Marcus , Ari M. Turner , Guy Bunin

We apply the formalism of dynamical system analysis to investigate the evolution of interacting dark energy scenarios at the background and perturbation levels in a unified way. Since the resulting dynamical system contains the extra…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Wompherdeiki Khyllep , Jibitesh Dutta , Spyros Basilakos , Emmanuel N. Saridakis

Neutral models, in which individual agents with equal fitness undergo a birth-death-mutation process, are very popular in population genetics and community ecology. Usually these models are applied to populations and communities with…

Populations and Evolution · Quantitative Biology 2016-06-10 Matan Danino , Yahav Shem-Tov , Nadav M. Shnerb

In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships, in the context of cyclic predator-prey models with an even number of species $N \ge 8$. We use…

Biological Physics · Physics 2014-04-22 P. P. Avelino , D. Bazeia , L. Losano , J. Menezes , B. F. Oliveira

We develop an analytic approach which allows us to study the behaviour of spin models with competing interactions and $p$-fold spin anisotropy, $D$, in the limit where the pinning potential which results from $D$ is large. This is an…

Condensed Matter · Physics 2007-05-23 F. Seno , J. M. Yeomans

Coevolution between strategy and network structure is established as a means to arrive at optimal conditions for resolving social dilemmas. Yet recent research highlights that the interdependence between networks may be just as important as…

Physics and Society · Physics 2014-04-11 Zhen Wang , Attila Szolnoki , Matjaz Perc

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Collective organization in physical, biophysical, and biological systems often emerges from many weak, local interactions, yet the resulting global structures display striking regularities and apparent limits in diversity. Existing…

Physics and Society · Physics 2026-01-21 Arturo Tozzi

We add a rejection mechanism (negative influence) into a two-dimensions bounded confidence model. The principle is that one shifts aways from a close attitude of one's interlocutor, when there is a strong disagreement on the other attitude.…

Physics and Society · Physics 2014-04-30 Sylvie Huet , Guillaume Deffuant , Wander Jager

A simple random-neighbor SOC model that combines properties of the Bak-Sneppen and the relaxation oscillators (slip-stick) models is introduced. The analysis in terms of branching processes is transparent and gives insight about the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Osame Kinouchi

In this paper we extend the investigation of cooperation in some classical evolutionary games on populations were the network of interactions among individuals is of the scale-free type. We show that the update rule, the payoff computation…

Physics and Society · Physics 2009-11-13 M. Tomassini , L. Luthi , E. Pestelacci
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