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We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the…

Statistical Mechanics · Physics 2024-07-25 Connor Roberts , Emir Sezik , Eloise Lardet

We study the behavior of persistent current of relativistic electrons on a one dimensional ring in presence of attractive/repulsive scattering potentials. In particular, we investigate the persistent current in accordance with the strength…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Sumit Ghosh , Arijit Saha

An asymmetric Brownian particle subjected to an external time-dependent force may acquire a net drift velocity, and thus operate as a motor or ratchet, even if the external force is represented by an unbiased time-periodic function or by a…

Statistical Mechanics · Physics 2018-11-14 A. V. Plyukhin

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

We address the question: Why may reaction-diffusion equations with hysteretic nonlinearities become ill-posed and how to amend this? To do so, we discretize the spatial variable and obtain a lattice dynamical system with a hysteretic…

Analysis of PDEs · Mathematics 2017-11-28 Pavel Gurevich , Sergey Tikhomirov

A Particle Tracking Velocimetry experiment has been performed in a turbulent flow at intermediate Reynolds number. We present experimentally obtained stretching rates for particle pairs in the inertial range. When compensated by a…

Fluid Dynamics · Physics 2007-05-23 J. Berg , B. Luthi , S. Ott , J. Mann

The Carlson-Langer model is a deterministic model of earthquakes. There were many investigations of this model, but its complicated spatio-temporal dynamics is not yet completely understood. We again study the model equation numerically,…

Geophysics · Physics 2015-06-17 Hidetsugu Sakaguchi , Shingo Morita

The distribution of recurrence times or return intervals between extreme events is important to characterize and understand the behavior of physical systems and phenomena in many disciplines. It is well known that many physical processes in…

Statistical Finance · Quantitative Finance 2008-12-29 M. S. Santhanam , Holger Kantz

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic…

Statistical Mechanics · Physics 2007-05-23 Soumen Roy , Debasis Dan , A. M. Jayannavar

The state of a particle in space and time is characterized by its mass and spin, which therefore determine the inertial properties of the particle. The coupling of intrinsic spin with rotation is examined and the corresponding inertial…

Quantum Physics · Physics 2009-11-11 Bahram Mashhoon , Helmut Kaiser

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

We investigate Lagrangian relative dispersion in direct numerical simulation of two-dimensional inverse cascade turbulence. The analysis is performed by using both standard fixed time statistics and an exit time approach. Our results are in…

Chaotic Dynamics · Physics 2007-05-23 G. Boffetta , I. M. Sokolov

A theory of intermittency differentiation is developed for a general class of 1D Infinitely Divisible Multiplicative Chaos measures. The intermittency invariance of the underlying infinitely divisible field is established and utilized to…

Probability · Mathematics 2018-03-20 Dmitry Ostrovsky

We propose and study a novel way to produce a DC transport of vortices when applying an AC electrical current to a sample. Specifically, we study superconductors with a graduated random pinning density, which transports interacting vortices…

Superconductivity · Physics 2009-11-07 C. J. Olson , C. Reichhardt , B. Janko , Franco Nori

Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds. Here we derive an analytical approach to determine the asymptotic stability of synchronous states in networks of coupled…

Dynamical Systems · Mathematics 2020-07-08 Reyk Börner , Paul Schultz , Benjamin Ünzelmann , Deli Wang , Frank Hellmann , Jürgen Kurths

We study the time reversal of a general PDMP. The time reversed process is defined as $X_{(T-t)-}$, where $T$ is some given time and $X_t$ is a stationary PDMP. We obtain the parameters of the reversed process, like the jump intensity and…

Probability · Mathematics 2011-10-19 Andreas Löpker , Zbigniew Palmowski

We study the dynamical response of a circularly-driven rigid body, focusing on the description of intrinsic rotational behavior (reverse rotations). The model system we address is integrable but nontrivial, allowing for qualitative and…

Classical Physics · Physics 2009-11-13 Fernando Parisio

Intermittency in fluid turbulence can be evidentiated through the analysis of Probability Distribution Functions (PDF) of velocity fluctuations, which display a strong non-gaussian behavior at small scales. In this paper we investigate the…

Chaotic Dynamics · Physics 2007-05-23 V. Carbone , P. Giuliani , L. Sorriso-Valvo , P. Veltri , R. Bruno , E. Martines , V. Antoni

The Reynolds number dependency of intermittency for 2D turbulence is studied in a flowing soap film. The Reynolds number used here is the Taylor microscale Reynolds number R_{\lambda}, which ranges from 20 to 800. Strong intermittency is…

Fluid Dynamics · Physics 2013-12-30 R. T. Cerbus , W. I. Goldburg

As a minimal fermionic model with kinetic frustration, we study a system of spinless fermions in the lowest band of a triangular lattice with long-range repulsion. We find that the combination of interactions and kinetic frustration leads…

Quantum Gases · Physics 2013-03-14 Olivier Tieleman , Omjyoti Dutta , Maciej Lewenstein , André Eckardt