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We investigate the dynamics of two identical spinless fermions on a one-dimensional lattice with open boundary conditions (OBC), subject to quasiperiodic long-range interactions. Using numerical exact diagonalization (ED), we study this…

Quantum Gases · Physics 2026-04-16 Yun Zou

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

We study the non-equilibrium dissipative dynamics of the center of mass of a particle coupled to a field via its internal degrees of freedom. We model the internal and external degrees of freedom of the particle as quantum harmonic…

Quantum Physics · Physics 2021-03-25 Kanupriya Sinha , Adrián Ezequiel Rubio López , Yiğit Subaşı

Hybrid particle-field methods are computationally efficient approaches for modelling soft matter systems. So far applications of these methodologies have been limited to constant volume conditions. Here, we reformulate particle-field…

Nonthermal fixed points are paradigmatic far-from-equilibrium phenomena of relevance to high-energy physics, cosmology, and cold atomic gases. We propose that, despite their intrinsically nonequilibrium nature, nonthermal fixed points give…

High Energy Physics - Theory · Physics 2025-04-29 Jürgen Berges , Gabriel S. Denicol , Michal P. Heller , Thimo Preis

Assuming the charged particle to be a two-dimensional oscillator that scatters the classical background of zero-point field one can deduce the Coulomb force of the two interacting particles. The correct deduction of the force is conditioned…

General Physics · Physics 2021-06-09 Ion Simaciu , Zoltan Borsos , Viorel Drafta , Gheorghe Dumitrescu

Active particles break out of thermodynamic equilibrium thanks to their directed motion, which leads to complex and interesting behaviors in the presence of confining potentials. When dealing with active nanoparticles, however, the…

Soft Condensed Matter · Physics 2021-03-29 Falko Schmidt , Hana Šípovà-Jungová , Mikael Käll , Alois Würger , Giovanni Volpe

We consider hamiltonian $N$ particle system on the finite segment with nearest-neighbor Coulomb interaction and external force $F$. We study the fixed points of such system and show that the distances between neighbors are asymptotically,…

Mathematical Physics · Physics 2012-02-02 V. A. Malyshev

It is shown that a recently proposed model for the gravitational interaction in non relativistic quantum mechanics is the instantaneous action at a distance limit of a field theoretic model containing a negative energy field. It reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergio De Filippo

We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

The field of synthetic active matter has, thus far, been led by efforts to create point-like, isolated (yet interacting) self-propelled objects (\emph{e.g.} colloids, droplets, microrobots) and understanding their collective dynamics. The…

Soft Condensed Matter · Physics 2024-08-06 Manoj Kumar , Aniruddh Murali , Arvin Gopal Subramaniam , Rajesh Singh , Shashi Thutupalli

Despite their fundamentally non-equilibrium nature, the individual and collective behavior of active systems with polar propulsion and isotropic interactions (polar-isotropic active systems) are remarkably well captured by equilibrium…

Soft Condensed Matter · Physics 2016-12-28 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

The problem of two interacting particles in a quasiperiodic potential is addressed. Using analytical and numerical methods, we explore the spectral properties and eigenstates structure from the weak to the strong interaction case. More…

Condensed Matter · Physics 2009-10-28 Armelle Barelli , Jean Bellissard , Philippe Jacquod , Dima L. Shepelyansky

We develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial…

Soft Condensed Matter · Physics 2018-02-12 Raphael Wittkowski , Joakim Stenhammar , Michael E. Cates

Breaking spatial symmetry is an essential requirement for phoretic active particles to swim at low Reynolds number. This fundamental prerequisite for swimming at the micro-scale is fulfilled either by chemical patterning of the surface of…

Soft Condensed Matter · Physics 2022-04-20 Abdallah Daddi-Moussa-Ider , Andrej Vilfan , Ramin Golestanian

In a recent paper [Phys. Rev. E 61, 2831 (2000)], Borstnik, Stark and Zumer have studied the stability of a colloidal dispersion of micron-sized spherical particles in the isotropic phase of a nematogenic material. Close to the nematic…

Soft Condensed Matter · Physics 2009-11-07 J. -B. Fournier , P. Galatola

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

Microscopic swimming particles, which dissipate energy to execute persistent directed motion, are a classic example of a non-equilibrium system. We investigate the non-interacting Ornstein--Uhlenbeck Particle (OUP), which is propelled…

Soft Condensed Matter · Physics 2018-04-09 Cato Sandford , Alexander Y. Grosberg , Jean-François Joanny

We investigate the non-equilibrium character of self-propelled particles through the study of the linear response of the active Ornstein-Uhlenbeck particle (AOUP) model. We express the linear response in terms of correlations computed in…

Statistical Mechanics · Physics 2020-12-14 Lorenzo Caprini , Andrea Puglisi , Alessandro Sarracino