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A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

We simulate a disordered assembly of particles interacting through a repulsive Yukawa potential with a small fraction of the particles coupled to an external drive. Distortions in the arrangement of the nondriven particles produce a…

Soft Condensed Matter · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

Cross-correlations are usually considered to emerge through interaction between particles. Here we present a mechanism capable to generate power-law cross-correlations between non-interacting particles exposed to an external potential. This…

Chaotic Dynamics · Physics 2013-03-18 Fotis K. Diakonos , Alexandros K. Karlis , Peter Schmelcher

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

Chaotic Dynamics · Physics 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

Dipolar bosonic gases are currently the focus of intensive research due to their interesting many-body physics in the quantum regime. Their experimental embodiments range from Rydberg atoms to GaAs double quantum wells and van der Waals…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Zhe Sun , Alberto Ciarrocchi , Fedele Tagarelli , Juan Francisco Gonzalez Marin , Kenji Watanabe , Takashi Taniguchi , Andras Kis

We study the transport of ultra cold atoms in a tight optical lattice. For identical fermions the system is insulating under an external force while for bosonic atoms it is conducting. This reflects the different collisional properties of…

Statistical Mechanics · Physics 2009-11-10 H. Ott , E. de Mirandes , F. Ferlaino , G. Roati , G. Modugno , M. Inguscio

We consider the interplay between persistent motion, which is a generic property of active particles, and a recoil interaction which causes particles to jump apart on contact. The recoil interaction exemplifies an active contact interaction…

Statistical Mechanics · Physics 2023-02-10 Matthew J Metson , Martin R Evans , Richard A Blythe

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In…

Chaotic Dynamics · Physics 2008-07-10 D. Hennig , L. Schimansky-Geier , P. Hänggi

The occurrence of an inverse current, where the sign of the induced current is opposite to the applied force, is a highly counterintuitive phenomenon. We show that inverse currents in coupled transport (ICC) of energy and particle can occur…

Statistical Mechanics · Physics 2020-03-23 Jiao Wang , Giulio Casati , Giuliano Benenti

Power law potentials dictate interactions across scales and matter, controlling the structure and dynamics of inanimate, and living systems. Though the equilibrium distributions of particles with a power law repulsion were extensively…

Soft Condensed Matter · Physics 2025-03-04 Ido Fanto , Yuval Rosenblum , Ori Harel , Naomi Oppenheimer

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

We show that the direction of directed particle transport in a two dimensional ac-driven lattice can be dynamically reversed by changing the structure of the lattice in the direction perpendicular to the applied driving force. These…

Quantum Gases · Physics 2018-06-06 Aritra K. Mukhopadhyay , Tianting Xie , Benno Liebchen , Peter Schmelcher

We present an experimental demonstration of a deterministic optical rocking ratchet. A periodic and asymmetric light pattern is created to interact with dielectric microparticles in water, giving rise to a ratchet potential. The sample is…

Soft Condensed Matter · Physics 2015-05-28 Alejandro V. Arzola , Karen Volke-Sepúlveda , José L. Mateos

Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport…

Statistical Mechanics · Physics 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

We show that dispersion in propulsion strength qualitatively alters collective behavior of active multi-particle systems interacting via short-range attractive potential, giving rise to novel ordered phases that combine spatial and…

Statistical Mechanics · Physics 2026-01-07 Debraj Dutta , Urna Basu

In this paper, we investigate nonlocal interaction equations with repulsive-attractive radial potentials. Such equations describe the evolution of a continuum density of particles in which they repulse each other in the short range and…

Analysis of PDEs · Mathematics 2011-09-27 D. Balague , J. A. Carrillo , T. Laurent , G. Raoul

Based on dynamical density functional theory (DDFT) we consider a non-equilibrium system of interacting colloidal particles driven by a constant tilting force through a periodic, symmetric "washboard" potential. We demonstrate that, despite…

Soft Condensed Matter · Physics 2015-05-19 Ken Lichtner , Sabine H. L. Klapp

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

We investigate the dynamics of overdamped $D$-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, $V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a non-linear diffusion…

Statistical Mechanics · Physics 2018-10-03 André A. Moreira , César M. Vieira , Humberto A. Carmona , José S. Andrade , Constantino Tsallis