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We consider a type of intermittent behavior that occurs as the result of the interplay between dynamical mechanisms giving rise to type-I intermittency and random dynamics. We analytically deduce the laws for the distribution of the laminar…

Chaotic Dynamics · Physics 2008-01-29 A. E. Hramov , A. A. Koronovskii , M. K. Kurovskaja , A. A. Ovchinnikov , S. Boccaletti

We define auto- and cross-correlation functions capable to capture dynamical characteristics induced by local phase space structures in a general dynamical system. These correlation functions are calculated in the Standard Map for a range…

Chaotic Dynamics · Physics 2015-04-21 Georgios Datseris , Fotis K. Diakonos , Peter Schmelcher

Because active particles break time-reversal symmetry, a single non-spherical body placed in an active fluid generates currents. We show that when two or more passive bodies are placed in an active fluid these currents lead to long-range…

Statistical Mechanics · Physics 2018-02-07 Yongjoo Baek , Alexandre P. Solon , Xinpeng Xu , Nikolai Nikola , Yariv Kafri

We study a process of pattern formation for a generic model of species anchored to the nodes of a network where local reactions take place, and that experience non-reciprocal long-range interactions, encoded by the network directed links.…

Pattern Formation and Solitons · Physics 2025-10-22 Timoteo Carletti , Riccardo Muolo

We study a driven system in which interaction between particles causes their directional, coupled movement. In that model system, two particles move alternatingly in time on two coupled chains. Without interaction, both particles diffuse…

Computational Physics · Physics 2023-08-10 Helena Drüeke , Dieter Bauer

The distinguishability of at least two species of particles in the classical lattice gas with no interactions except hard-core exclusion entails additional interparticle correlations. A nonlinear mixing flow appears and manifests itself…

Statistical Mechanics · Physics 2013-02-07 O. V. Kliushnychenko , S. P. Lukyanets

We investigate the transport properties of non-interacting particles propagating in a finite Lorentz channel (LC). We show that interparticle power-law correlations emerge, when the dynamics is described at a spatially coarse-grained level.…

Adaptation and Self-Organizing Systems · Physics 2012-01-04 Alexandros K. Karlis , Fotios K. Diakonos , Christoph Petri , Peter Schmelcher

Locality imposes stringent constraints on the spreading of information in nonrelativistic quantum systems, which is reminiscent of a "light-cone," a casual structure arising in their relativistic counterparts. Long-range interactions can…

Disordered Systems and Neural Networks · Physics 2019-02-06 David J. Luitz , Yevgeny Bar Lev

This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long range interaction that obeys a distance-dependent power law. This…

Chaotic Dynamics · Physics 2016-09-21 Tanmoy Banerjee , Partha Sharathi Dutta , Anna Zakharova , Eckehard Schoell

Complex systems out of equilibrium often experience intermittent oscillations between quiescent and highly dynamic states. The type of intermittency depends on how energy is pumped into the system, and how it is dissipated. While…

Soft Condensed Matter · Physics 2026-02-23 Zhicheng Shu , Wei-Chih Li , Wentao Yu , Justin C. Burton

We demonstrate the emergence of self-organized structures in the course of the relaxation of an initially excited, dissipative and finite chain of interacting particles in a periodic potential towards its many particle equilibrium…

Adaptation and Self-Organizing Systems · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

We present evidence that the concurrent existence of two populations of particles with different effective diameters is not a prerequisite for the occurrence of anomalous phase behaviors in systems of particles interacting through…

Soft Condensed Matter · Physics 2015-05-20 Santi Prestipino , Franz Saija , Gianpietro Malescio

We consider a type of intermittent behavior that occurs as the result of the interplay between dynamical mechanisms giving rise to type-II intermittency and random dynamics. We analytically deduce the law for the distribution of the laminar…

Chaotic Dynamics · Physics 2013-02-19 Alexey A. Koronovskii , Alexander E. Hramov

We demonstrate that long-range interactions can cause, as time evolves, consecutive reversals of directed currents for dilute ensembles of particles in driven lattices. These current-reversals are based on a general mechanism which leads to…

Chaotic Dynamics · Physics 2013-11-06 Benno Liebchen , Fotis K. Diakonos , Peter Schmelcher

We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of short-range systems, where stochastic forces usually act locally on each particle, here we consider perturbations by external stochastic…

Statistical Mechanics · Physics 2013-12-04 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

One of the most remarkable observations in dense active matter systems is the appearance of long-range velocity correlations without any explicit aligning interaction (of e.g.\ Vicsek type). Here we show that this kind of long range…

Soft Condensed Matter · Physics 2023-02-28 Leila Abbaspour , Rituparno Mandal , Peter Sollich , Stefan Klumpp

We show that heterogeneity in self-propulsion speed can lead to the emergence of a robust effective short-range repulsion among active particles interacting via long-range attractive potentials. Using the example of harmonically coupled…

Statistical Mechanics · Physics 2025-05-09 Ritwick Sarkar , Urna Basu

On the basis of a lattice gas model and the convolution formula with cell construction scheme, we demonstrate that intermittency in the rapidity-space with respect to the scaled moments comes from a phase transition between ordered phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. R. Nakamura , K. Kudo , T. Hashimoto , I. Yoneda

Long-range quantum lattice systems often exhibit drastically different behavior than their short-range counterparts. In particular, because they do not satisfy the conditions for the Lieb-Robinson theorem, they need not have an emergent…

Quantum Gases · Physics 2016-04-28 Mohammad F. Maghrebi , Zhe-Xuan Gong , Michael Foss-Feig , Alexey V. Gorshkov

Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of the ABC model, we show that this size dependence becomes…

Statistical Mechanics · Physics 2015-05-30 Antoine Gerschenfeld , Bernard Derrida
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