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We construct a generalized dynamics for particles moving in a symmetric space-time, i.e. a space-time admitting one or more Killing vectors. The generalization implies that the effective mass of particles becomes dynamical. We apply this…

General Relativity and Quantum Cosmology · Physics 2011-03-31 Sudipta Das , Subir Ghosh , Jan-Willem van Holten , Supratik Pal

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

We derive a two-dimensional symplectic map for particle motion at the plasma edge by modeling the electrostatic potential as a superposition of integer spatial harmonics with relative phase shift, then reduce it to a two-wave model to study…

Plasma Physics · Physics 2026-02-10 L. F. B. Souza , Y. Elskens , R. Egydio de Carvalho , I. L. Caldas

Controlling transport in quantum systems holds the key to many promising quantum technologies. Here we review the power of symmetry as a resource to manipulate quantum transport, and apply these ideas to engineer novel quantum devices.…

Statistical Mechanics · Physics 2018-09-27 D. Manzano , P. I. Hurtado

A non-autonomous version of the standard map with a periodic variation of the parameter is introduced and studied. Symmetry properties in the variables and parameters of the map are found and used to find relations between rotation numbers…

Dynamical Systems · Mathematics 2017-05-24 Renato Calleja , Diego del-Castillo-Negrete , David Martinez-del-Rio , Arturo Olvera

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 investigate the transport of Brownian particles in a two-dimensional potential under the action of a uniform external force. The potential is periodic in one direction and confines the particle to a narrow channel of varying…

Statistical Mechanics · Physics 2016-05-04 Xinli Wang , German Drazer

Discrete time-crystals are periodically driven quantum many-body systems with broken discrete-time translational symmetry, a non-equilibrium steady state representing self-organization of motion of quantum particles. Observations of…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Subhajit Sarkar , Yonatan Dubi

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

Statistical Mechanics · Physics 2020-09-01 Francisco J. Sevilla

Commuting and noncommuting space-time coordinates in a class of deformed special relativity theories are investigated. Their momentum space representation, transformation behaviour, space-time algebra, invariants and the corresponding field…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Clemens Heuson

A mechanism for asymmetric transport based on the interplay between the fundamental symmetries of parity (P) and time (T) with nonlinearity is presented. We experimentally demonstrate and theoretically analyze the phenomenon using a pair of…

Optics · Physics 2015-06-12 N. Bender , S. Factor , J. D. Bodyfelt , H. Ramezani , F. M. Ellis , T. Kottos

We present an overview of time-dependent transport phenomena in quantum systems, with a particular emphasis on steady-state regimes. We present the ideas after the main theoretical frameworks to study open-quantum systems out of…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Matteo Acciai , Liliana Arrachea , Janine Splettstoesser

We investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the…

Biological Physics · Physics 2012-05-10 Paul K. Radtke , Lutz Schimansky-Geier

We analyze the transport properties of a set of symmetry-breaking extensions %, both spatial and temporal, of the Chirikov--Taylor Map. The spatial and temporal asymmetries result in the loss of periodicity in momentum direction in the…

Statistical Mechanics · Physics 2009-02-28 Taksu Cheon , Pavel Exner , Petr Seba

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

We investigate experimentally the route to quasiperiodicity in a driven ratchet for cold atoms, and examine the relationship between symmetries and transport while approaching the quasiperiodic limit. Depending on the specific form of…

Statistical Mechanics · Physics 2009-11-11 R. Gommers , S. Denisov , F. Renzoni

The statistical properties of quantum transport through a chaotic cavity are encoded in the traces $\T={\rm Tr}(tt^\dag)^n$, where $t$ is the transmission matrix. Within the Random Matrix Theory approach, these traces are random variables…

Mesoscale and Nanoscale Physics · Physics 2008-08-04 Marcel Novaes

The directed transport of Brownian particles requires a system with an asymmetry and with non-equilibrium noise. We here investigate numerically alternative ways of fulfilling these requirements for a two-state Brownian motor, realised with…

Statistical Mechanics · Physics 2015-03-17 H. Hagman , M. Zelan , C. M. Dion

In this article the one-dimensional, overdamped motion of a classical particle is considered, which is coupled to a thermal bath and is drifting in a quenched disorder potential. The mobility of the particle is examined as a function of…

Condensed Matter · Physics 2016-08-31 Stefan SCHEIDL

We study the dynamic properties of a thermal autonomous machine made up of two quantum Brownian particles, each of which is in contact with an environment at different temperature and moves on a periodic sinusoidal track. When such tracks…

Quantum Physics · Physics 2019-11-06 Michael Drewsen , Alberto Imparato