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We use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical…

Soft Condensed Matter · Physics 2023-06-09 Yann-Edwin Keta , Rituparno Mandal , Peter Sollich , Robert L. Jack , Ludovic Berthier

Topology in condensed matter physics is typically associated with a bulk energy gap. However, recent research has shifted focus to topological phases without a bulk energy gap, exhibiting nontrivial gapless topological behaviors. In this…

Strongly Correlated Electrons · Physics 2025-01-31 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

We analyse large deviations of the dynamical activity in one-dimensional systems of diffusing hard particles. Using an optimal-control representation of the large-deviation problem, we analyse effective interaction forces which can be added…

Statistical Mechanics · Physics 2020-01-22 Jakub Dolezal , Robert L. Jack

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general features associated to the presence of…

Strongly Correlated Electrons · Physics 2022-10-18 Gianluca Francica , Luca Dell'Anna

We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a…

Chaotic Dynamics · Physics 2007-05-23 Jayme De Luca

Molecular dynamics simulations of interacting soft disks confined in a heterogeneous quenched matrix of soft obstacles show dynamics which is fundamentally different from that of hard disks. The interactions between the disks can enhance…

Soft Condensed Matter · Physics 2018-02-21 Simon Kaspar Schnyder , Jürgen Horbach

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

Populations and Evolution · Quantitative Biology 2018-12-26 Henrik Jeldtoft Jensen

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

Statistical Mechanics · Physics 2023-07-05 Apoorva Nagar , Shamik Gupta

We consider the system of $N$ points on the segment of the real line with the nearest-neighbor Coulomb repulsive interaction and external force $F$. For the fixed points of such systems (fixed configurations) we study the asymptotics (in…

Mathematical Physics · Physics 2012-06-01 V. A. Malyshev

In singlet two-electron systems the natural occupation numbers of the one-particle reduced density matrix are given as squares of the natural amplitudes which are defined as the expansion coefficients of the two-electron wave function in a…

Atomic Physics · Physics 2013-09-13 Klaas J. H. Giesbertz , Robert van Leeuwen

The effects of purely elastic collisions on the dynamics of heavy inertial particles is investigated in a three-dimensional random incompressible flow. It is shown that the statistical properties of inter-particle separations and relative…

Fluid Dynamics · Physics 2015-06-12 Jeremie Bec , Stefano Musacchio , Samriddhi Sankar Ray

Quasi-static transformations, or slow quenches, of many-body quantum systems across quantum critical points create topological defects. The Kibble-Zurek mechanism regulates the appearance of defects in a local quantum system through a…

Quantum Physics · Physics 2024-09-16 Stefano Gherardini , Lorenzo Buffoni , Nicolò Defenu

Systems of classical continuous particles in the grand canonical ensemble interacting through purely attractive, yet stable, interactions are defined. By a lattice approximation, FKG ferromagnetic inequalities are shown to hold for such…

Mathematical Physics · Physics 2007-05-23 H. Gottschalk

Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We study the structure of bound states appearing in systems governed by the Coulomb and short-range interactions. We analyze the binding energies and wave functions of the bound states generated by the Coulomb plus short-range potential. We…

High Energy Physics - Phenomenology · Physics 2026-01-21 Chisato Uno , Tetsuo Hyodo

In multicomponent systems with strong local interaction one can encounter some phenomena absent in the standard systems of statistical physics and other multicomponent systems. Namely, a system with $N$ components in the bounded volume of…

Mathematical Physics · Physics 2012-02-07 V. A. Malyshev

We describe the macroscopic behaviour of a particle system with long-range interactions. We describe conditions on the interaction strength in dependency of the distance of the particles, such that the scaling limit of the particle system…

Probability · Mathematics 2015-12-21 Anton Bovier , Carina Geldhauser

We develop a theory of the domain patterns in systems with competing short-range attractive interactions and long range repulsive Coulomb interactions. We take an energetic approach, in which patterns are considered as critical points of a…

Soft Condensed Matter · Physics 2009-11-07 C. B. Muratov