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A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Maria K. Kurovskaya , S. Boccaletti

A nonlinear time-delay model is proposed to describe the interaction dynamics between criminal and non-criminal populations, combining social influence mechanisms, saturation effects represented by a Holling type II functional response, and…

Dynamical Systems · Mathematics 2026-05-25 Pablo Amster , Andrés Rivera , Sebastián Pedersen

We study the long-time behavior of two run-and-tumble particles on the real line subjected to an attractive interaction potential and jamming interactions, which prevent the particles from crossing. We provide the explicit invariant…

Probability · Mathematics 2025-01-22 Leo Hahn

Based on statistical approach we described possible formation of spatially inhomogeneous distribution in the system of interacting Fermi particles by long-rage forces, and we demonstrated nonperturbative calculation of the partition…

Statistical Mechanics · Physics 2009-11-13 K. V. Grigorishin , B. I. Lev

We investigate how simultaneously recorded long-range power-law correlated multi-variate signals cross-correlate. To this end we introduce a two-component ARFIMA stochastic process and a two-component FIARCH process to generate coupled…

Statistical Finance · Quantitative Finance 2009-11-13 Boris Podobnik , Davor Horvatic , Alfonso Lam Ng , H. Eugene Stanley , Plamen Ch. Ivanov

A simple model of the driven motion of interacting particles in a two dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state…

Statistical Mechanics · Physics 2008-02-03 Joe Watson , Daniel S. Fisher

Molecular dynamics simulations are used to show that strong magnetization significantly increases the space and time scales associated with interparticle correlations. The physical mechanism responsible is a channeling effect whereby…

Plasma Physics · Physics 2021-04-21 Keith R. Vidal , Scott D. Baalrud

Systems switching between different dynamical phases is an ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a…

Statistical Mechanics · Physics 2024-12-05 Ion Santra , Kristian Stølevik Olsen , Deepak Gupta

We study the emergence of a giant component in a spatial network where the distribution of the metric distances between the nodes is scale-invariant, and the interaction between the nodes has a long-range power-law behavior. The nodes are…

Statistical Mechanics · Physics 2022-07-29 Guy Amit , Dana Ben Porath , Sergey V. Buldyrev , Amir Bashan

In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusion coefficient. While the forces affecting the…

Statistical Mechanics · Physics 2023-04-26 Deborah Schwarcz , Stanislav Burov

The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

High Energy Physics - Theory · Physics 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

Lieb-Robinson bounds are powerful analytical tools for constraining the dynamic and static properties of non-relativistic quantum systems. Recently, a complete picture for closed systems that evolve unitarily in time has been achieved. In…

Quantum Physics · Physics 2021-11-01 Andrew Y. Guo , Simon Lieu , Minh C. Tran , Alexey V. Gorshkov

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

Materials Science · Physics 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

Diagonal or chevron patterns are known to spontaneously emerge at the intersection of two perpendicular flows of self-propelled particles, e.g. pedestrians. The instability responsible for this pattern formation has been studied in previous…

Statistical Mechanics · Physics 2015-06-15 Julien Cividini , Cecile Appert-Rolland

The effect of interactions on dynamics of coupled motor proteins is investigated theoretically. A simple stochastic discrete model, that allows to calculate explicitly the dynamic properties of the system, is developed. It is shown that…

Soft Condensed Matter · Physics 2009-11-11 Evgeny B. Stukalin , Anatoly B. Kolomeisky

We study a minimal model involving two species of particles interacting via quorum-sensing rules. Combining simulations of the microscopic model and linear stability analysis of the associated coarse-grained field theory, we identify a…

Statistical Mechanics · Physics 2023-10-13 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

A new concept of the available force in long-range interaction complex systems is proposed. The relationship between the available force in different time intervals and the interaction parameters of complex systems is described. It is found…

Statistical Mechanics · Physics 2013-07-25 Zhifu Huang , Congjie Ou , Bihong Lin , Guozhen Su , Jincan Chen

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

We consider networks of massive particles connected by non-linear springs. Some particles interact with heat baths at different temperatures, which are modeled as stochastic driving forces. The structure of the network is arbitrary, but the…

Mathematical Physics · Physics 2015-03-26 Noé Cuneo , Jean-Pierre Eckmann

Driven particles in presence of crowded environment, obstacles or kinetic constraints often exhibit negative differential mobility (NDM) due to their decreased dynamical activity. We propose a new mechanism for complex many-particle systems…

Statistical Mechanics · Physics 2018-06-06 Amit Kumar Chatterjee , Urna Basu , P. K. Mohanty
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