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In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and…

Dynamical Systems · Mathematics 2025-02-04 Julia Ackermann , Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

Confined active particles constitute simple, yet realistic, examples of systems that converge into a non-equilibrium steady state. We investigate a run-and-tumble particle in one spatial dimension, trapped by an external potential, with a…

Statistical Mechanics · Physics 2024-04-09 Oded Farago , Naftali R. Smith

We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with…

The study of collective excitations is a crucial tool for understanding many-body quantum systems. For instance, they play a central role in the exploration of superfluidity and other quantum macroscopic phenomena in Bose and Fermi systems.…

Quantum Gases · Physics 2025-02-21 A. del Río-Lima , J. A. Seman , R. Jáuregui , F. J. Poveda-Cuevas

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

We study the structure of stationary non equilibrium states for interacting particle systems from a microscopic viewpoint. In particular we discuss two different discrete geometric constructions. We apply both of them to determine non…

Statistical Mechanics · Physics 2017-09-15 Leonardo De Carlo , Davide Gabrielli

In this work, we study the driven-dissipative dynamics of a coherently-driven spin ensemble with a squeezed, superradiant decay. This decay consists of a sum of both raising and lowering collective spin operators with a tunable weight. The…

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

Statistical Mechanics · Physics 2025-08-08 Karel Proesmans , Gianmaria Falasco , Atul Tanaji Mohite , Massimiliano Esposito , Étienne Fodor

We investigate finite number effects in collisions between two states of an initially well defined number of identical bosons with attractive contact interactions, oscillating in the presence of harmonic confinement in one dimension. We…

Quantum Gases · Physics 2014-01-17 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner

We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction which…

Probability · Mathematics 2024-05-07 Vadim Malyshev , Mikhail Menshikov , Serguei Popov , Andrew Wade

Strong electrostatic turbulence in magnetically confined plasmas is characterized by trapping or eddying of particle trajectories produced by the $E\times B$ stochastic drift. Trapping is shown to produce strong effects on test particles…

Plasma Physics · Physics 2015-05-13 Madalina Vlad , Florin Spineanu

Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which…

Statistical Mechanics · Physics 2009-10-31 R. B. Stinchcombe , J. E. Santos , M. D. Grynberg

The s=1/2 Ising chain with uniform nearest-neighbor and next-nearest-neighbor coupling is used to construct a system of floating particles characterized by motifs of up to six consecutive local spins. The spin couplings cause the assembly…

Statistical Mechanics · Physics 2012-04-27 Ping Lu , Dan Liu , Gerhard Müller , Michael Karbach

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

Statistical Mechanics · Physics 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

Pair interactions between active particles need not follow Newton's third law. In this work we propose a continuum model of pattern formation due to non-reciprocal interaction between multiple species of scalar active matter. The classical…

Statistical Mechanics · Physics 2020-10-21 Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin

Experiment, theory, and simulation are employed to understand the dispersion of colloidal particles in a periodic array of oscillating harmonic traps generated by optical tweezers. In the presence of trap oscillation, a non-monotonic and…

Soft Condensed Matter · Physics 2023-01-18 Joseph M. Barakat , Sho C. Takatori

Equilibrium statistical mechanics provides a robust framework for characterizing phase transitions in systems whose microsopic dynamics are time-reversible. Efforts to develop and validate theoretical frameworks for time-irreversible,…

Soft Condensed Matter · Physics 2025-12-18 Stuart J. Thomson , Jack-William Barotta , Daniel M. Harris

We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic…

Pattern Formation and Solitons · Physics 2018-06-27 R. Driben , V. V. Konotop , B. A. Malomed , T. Meier , A. V. Yulin

Studying a single atomic ion confined in a time-dependent periodic anharmonic potential, we find large amplitude trajectories stable for millions of oscillation periods in the presence of stochastic laser cooling. The competition between…

Atomic Physics · Physics 2019-08-28 A. Maitra , D. Leibfried , D. Ullmo , H. Landa