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We investigate symmetry breaking in a time-dependent billiard that undergoes a continuous phase transition when dissipation is introduced. The system presents unlimited velocity, and thus energy growth for the conservative dynamics. When…

Chaotic Dynamics · Physics 2025-08-18 Anne Kétri Pasquinelli da Fonseca , Edson Denis Leonel

The nonequilibrium dynamics of correlated charge transfer along a one-dimensional chain in presence of a phonon environment is investigated within a dissipative Hubbard model. For this generalization of the ubiquitous spin-boson model the…

Statistical Mechanics · Physics 2009-11-11 Lothar Muehlbacher , Joachim Ankerhold

The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap then in the adiabatic limit the accumulated excess…

Mathematical Physics · Physics 2007-05-23 Alexander Elgart , Benjamin Schlein

Variations of transport efficiency in structured environments between distinct individuals in actively self-propelled systems is both hard to study and poorly understood. Here, we study the transport of a non-tumbling {\ecoli} strain, an…

Soft Condensed Matter · Physics 2023-08-28 Pooja Chopra , David Quint , Ajay Gopinathan , Bin Liu

By exploring the four-terminal transmission of a semi-elliptic open quantum billiard in dependence of its geometry and an applied magnetic field, it is shown that a controllable switching of currents between the four terminals can be…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Christian Morfonios , Daniel Buchholz , Peter Schmelcher

Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical modes, such as fixed points, 2 - cycles…

Chaotic Dynamics · Physics 2011-12-12 Andrzej Okninski , Boguslaw Radziszewski

The connection between domain relaxations at individual scales and the collective heterogeneous response in non-equilibrium systems is a topic of profound interest in recent times. In a model sys- tem of constantly driven oppositely charged…

Soft Condensed Matter · Physics 2016-12-16 Suman Dutta

We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient…

Soft Condensed Matter · Physics 2017-01-04 Sebastian Leitmann , Thomas Franosch

In an ordinary billiard trajectories of a Hamiltonian system are elastically reflected after a collision with a hypersurface (scatterer). If the scatterer is a submanifold of codimension more than one, we say that the billiard is…

Dynamical Systems · Mathematics 2017-03-08 Sergey Bolotin

We study the connection between transport phenomenon and escape rate statistics in two-dimensional standard map. For the purpose of having an open phase space, we let the momentum co-ordinate vary freely and restrict only angle with…

Statistical Mechanics · Physics 2020-10-07 L. Lugosi , T. Kovács

One-dimensional billiard, i.e. a chain of colliding particles with equal masses, is well-known example of completely integrable system. Billiards with different particles are generically not integrable, but still exhibit divergence of a…

Statistical Mechanics · Physics 2016-12-21 O. V. Gendelman , A. V. Savin

We study theoretically the influence of Berry phase on the real-time dynamics of the single particle focusing on the diffusive dynamics, i.e., the time-dependence of the distribution function. Our model can be applied to the real-time…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Kou Misaki , Seiji Miyashita , Naoto Nagaosa

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

Econometrics · Economics 2023-12-05 Kevin Dano

This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-dimensional piecewise expanding maps with slowly varying…

Dynamical Systems · Mathematics 2012-10-02 William Ott , Lai-Sang Young , Mikko Stenlund

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we…

Quantum Gases · Physics 2015-06-04 Christian Bartsch , Jochen Gemmer

We consider a one-dimensional mono-atomic lattice with random perturbations of masses spread over a finite number of particles. Assuming Newtonian dynamics and linear nearest-neighbour interactions and allowing for a provision of pinning…

Probability · Mathematics 2024-01-30 Josselin Garnier , Basant Lal Sharma

A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Alexander Croy , Ulf Saalmann

We explicitly calculate the density-density response function with conserving vertex corrections for anisotropic multiband systems in the presence of impurities including long-range disorder. The direction-dependence of the vertex…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Jeonghyeon Suh , Sunghoon Kim , E. H. Hwang , Hongki Min

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

We perform numerical studies of the wave packet propagation through open quantum billiards whose classical counterparts exhibit regular and chaotic dynamics. We show that for t less or similar to tau (tau being the Heisenberg time), the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. V. Zozoulenko , T. Blomquist
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