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Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

混沌动力学 · 物理学 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

The chaotic diffusion for particles moving in a time dependent potential well is described by using two different procedures: (i) via direct evolution of the mapping describing the dynamics and ; (ii) by the solution of the diffusion…

We study directed transport in a classical deterministic dissipative system. We consider the generic case of mixed phase space and show that large ratchet currents can be generated thanks to the presence, in the Hamiltonian limit, of…

统计力学 · 物理学 2007-12-29 Lei Wang , Giuliano Benenti , Giulio Casati , Baowen Li

We study analytically and numerically the ratchet transport of interacting particles induced by a monochromatic driving in asymmetric two-dimensional structures. The ratchet flow is preserved in the limit of strong interactions and can…

统计力学 · 物理学 2008-10-30 A. D. Chepelianskii , M. V. Entin , L. I. Magarill , D. L. Shepelyansky

In a model of $N$ volume-excluding spheres in a $d$-dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence the steady state distribution and axial particle current. We…

统计力学 · 物理学 2021-01-15 Emil Mallmin , Richard A. Blythe , Martin Evans

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · 物理学 2009-10-31 Jose L. Mateos

We model Lagrangian lateral mixing and transport of passive scalars in meandering oceanic jet currents by two-dimensional advection equations with a kinematic stream function with a time-dependent amplitude of a meander imposed. The…

混沌动力学 · 物理学 2012-02-03 M. V. Budyansky , S. V. Prants

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

混沌动力学 · 物理学 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

混沌动力学 · 物理学 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

The problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type is addressed. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport…

凝聚态物理 · 物理学 2007-05-23 José L. Mateos

In this paper, we study different types of phase space structures which appear in the context of relativistic chaotic scattering. By using the relativistic version of the H\'{e}non-Heiles Hamiltonian, we numerically study the topology of…

混沌动力学 · 物理学 2024-04-09 Fernando Blesa , Juan D. Bernal , Jesus M. Seoane , Miguel AF Sanjuan

Using the framework of generalized exclusion processes we study mixtures of passive and active particles interacting by steric repulsion. The particles move in a pore with periodically modulated aperture, which is modeled by a…

统计力学 · 物理学 2025-08-14 Frantisek Slanina , Miroslav Kotrla

Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. Attractors with different velocities coexist, and form…

chao-dyn · 物理学 2009-10-22 Kunihiko Kaneko

We continue our study of chaotic mixing and transport of passive particles in a simple model of a meandering jet flow [Prants, et al, Chaos {\bf 16}, 033117 (2006)]. In the present paper we study and explain phenomenologically a connection…

混沌动力学 · 物理学 2012-05-29 M. V. Budyansky , M. Yu. Uleysky , S. V. Prants

This study investigates chaotic diffusion in multi-scale turbulence driven by nonlinear wave-particle resonance coupling. Turbulent waves with distinct characteristic wavelengths across scales coherently interact with charged particles when…

等离子体物理 · 物理学 2025-04-22 Yueheng Huang , Nong Xiang , Jiale Chen , Zong Xu

Nontwist area-preserving maps violate the twist condition at specific orbits, resulting in shearless invariant curves that prevent chaotic transport. Plasmas and fluids with nonmonotonic equilibrium profiles may be described using nontwist…

混沌动力学 · 物理学 2024-12-19 Gabriel C. Grime , Ricardo L. Viana , Yves Elskens Iberê L. Caldas

We discuss the relation between three recent approaches of describing the dynamics and the spatial distribution of particles suspended in turbulent flows: phase-space singularities in the inertial particle dynamics (caustics), real-space…

流体动力学 · 物理学 2015-06-05 K. Gustavsson , E. Meneguz , M. Reeks , B. Mehlig

Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed…

混沌动力学 · 物理学 2017-07-17 Greg Huber , Marc Pradas , Alain Pumir , Michael Wilkinson

We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying…

混沌动力学 · 物理学 2010-03-26 R. Chacon , A. M. Lacasta

In this work we show that optimal ratchet currents of two interacting particles are obtained when stable periodic motion is present. By increasing the coupling strength between identical ratchet maps, it is possible to find, for some…

混沌动力学 · 物理学 2019-12-12 Rafael M. da Silva , Cesar Manchein , Marcus W. Beims
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