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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

In many-particle diffusions, particles that move the furthest and fastest can play an outsized role in physical phenomena. A theoretical understanding of the behavior of such extreme particles is nascent. A classical model, in the spirit of…

Statistical Mechanics · Physics 2024-11-22 Jacob B. Hass , Aileen N. Carroll-Godfrey , Eric I. Corwin , Ivan Z. Corwin

We identify ground states of one-dimensional fermionic systems subject to competing repulsive interactions of finite range, and provide phenomenological and fundamental signatures of these phases and their transitions. Commensurable…

Strongly Correlated Electrons · Physics 2018-08-23 Marcin Szyniszewski , Henning Schomerus

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

We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and…

Statistical Mechanics · Physics 2015-06-15 Himani Sachdeva , Mustansir Barma , Madan Rao

The kinetics of order-disorder transition of FePt nanoparticles during high temperature annealing is theoretically investigated. A model is developed to address the influence of large surface to volume ratio of nanoparticles on both the…

Materials Science · Physics 2015-06-17 Shuaidi Zhang , Weihong Qi , Baiyun Huang

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped 2-d system of particles interacting by repulsive forces. As a…

Soft Condensed Matter · Physics 2016-01-06 Jens C. Pfeifer , Tobias Bischoff , Georg Ehlers , Bruno Eckhardt

The emergence of macroscopic order and patterns is a central paradigm in systems of (self-)propelled agents, and a key component in the structuring of many biological systems.The relationships between the ordering process and the underlying…

Soft Condensed Matter · Physics 2020-12-02 Jonas Denk , Erwin Frey

We investigate the steady-state organisation of active particles residing on an interface. Particle activity induces interface deformations, while the local shape of the interface guides particle movement. We consider multiple species of…

Soft Condensed Matter · Physics 2025-05-28 Love Grover , Rajeev Kapri , Abhishek Chaudhuri

We investigate the transport of interacting active run-and-tumble particles moving under an external drift force through a periodic array of obstacles for increasing drive amplitudes. For high activity where the system forms a motility…

Soft Condensed Matter · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

Giant number fluctuations (GNFs), whereby the standard deviation $\Delta N$ in the local number of particles $\langle N \rangle$ grows faster than $\sqrt{\langle N \rangle}$, are a hallmark property of dry active matter systems with…

Atoms coupled to optical fields confined in one and two spatial dimensions in solid state microstructures can experience very large light shifts if the driving frequencies are close to a resonance of the microstructures and an atomic…

Quantum Physics · Physics 2009-11-07 Peter Horak , Peter Domokos , Helmut Ritsch

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

The large scale distribution of galaxies in the universe displays a complex pattern of clusters, super-clusters, filaments and voids with sizes limited only by the boundaries of the available samples. A quantitative statistical…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Francesco Sylos Labini , Luciano Pietronero

In this work, the orientation adapter, a species of active particles that adapt their direction of motion from the other active particles, is introduced. The orientation adapters exist besides the usual Vicsek-like particles; both are…

Soft Condensed Matter · Physics 2023-02-28 Sagarika Adhikary , S. B. Santra

Dense suspensions of fine particles are significant in numerous biological, industrial, and natural phenomena. They also provide an ideal tool to develop statistical mechanics description for out-of-equilibrium systems. Predicting the bulk…

Soft Condensed Matter · Physics 2023-05-24 Abhinendra Singh

We revisit the problem of diffusion in a driven system consisting of an inertial Brownian particle moving in a symmetric periodic potential and subjected to a symmetric time-periodic force. We reveal parameter domains in which diffusion is…

Statistical Mechanics · Physics 2022-11-23 I. G. Marchenko , A. Zhiglo , V. Aksenova , V. Tkachenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

Active matter research focuses on the emergent behavior among interacting self-propelled particles. Unification of seemingly disconnected paradigms -- active phase-separation of repulsive discs and collective motion of self-propelled rods…

Statistical Mechanics · Physics 2021-01-18 Robert Großmann , Igor S. Aranson , Fernando Peruani

We study local features, and provide a topological insight into the global structure of the probability density distribution and of the pattern of the optimal paths for large rare fluctuations away from a stable state. In contrast to…

Condensed Matter · Physics 2009-10-22 Mark I. Dykman , Mark M. Millonas , Vadim N. Smelyanskiy

We numerically examine the transport of active run-and-tumble particles driven with a drift force over random disordered landscapes comprised of fixed obstacles. For increasing run lengths, the net particle transport initially increases…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt