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Area-preserving nontwist maps are used to describe a broad range of physical systems. In those systems, the violation of the twist condition leads to nontwist characteristic phenomena, such as reconnection-collision sequences and shearless…

混沌动力学 · 物理学 2023-03-01 G. C. Grime , M. Roberto , R. L. Viana , Y. Elskens , I. L. Caldas

Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presented multiple shearless curves in phase space and these…

混沌动力学 · 物理学 2023-06-28 Gabriel C. Grime , Marisa Roberto , Ricardo L. Viana , Yves Elskens , Iberê L. Caldas

In fluids and plasmas with zonal flow reversed shear, a peculiar kind of transport barrier appears in the shearless region, one that is associated with a proper route of transition to chaos. Using a symplectic nontwist maps, which model…

混沌动力学 · 物理学 2015-06-03 J. D. Szezech , I. L. Caldas , S. R. Lopes , P. J. Morrison , R. L. Viana

For several decades now it has been known that systems with shearless invariant tori, nontwist Hamiltonian systems, possess barriers to chaotic transport. These barriers are resilient to breakage under perturbation and therefore regions…

混沌动力学 · 物理学 2024-07-01 M. Mugnaine , J. D. Szezech , R. L. Viana , I. L. Caldas , P. J. Morrison

Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand, a great deal of information on chaotic transport can be…

Area-preserving nontwist maps locally violate the twist condition, giving rise to shearless curves. Nontwist systems appear in different physical contexts, such as plasma physics, climate physics, classical mechanics, etc. Generic…

计算物理 · 物理学 2025-01-15 Marcos V. de Moraes , Iberê L. Caldas , Yves Elskens

In nontwist systems, primary shearless curves act as barriers to chaotic transport. Surprisingly, the onset of secondary shearless curves has been reported in a few twist systems. Meanwhile, we found that, in twist systems, the onset of…

Barriers have been identified in magnetically confined plasmas reducing the particle transport and improving the confinement. One of them, the primary shearless barriers are associated to extrema of non-monotonic plasma profiles.…

等离子体物理 · 物理学 2021-08-26 L. A. Osorio , M. Roberto , I. L. Caldas , R. L. Viana , Y. Elskens

In this paper, we consider chaotic dynamics and variational structures of area-preserving maps. There is a lot of study on the dynamics of their maps and the works of Poincare and Birkhoff are well-known. To consider variational structures…

动力系统 · 数学 2023-10-17 Yuika Kajihara

We consider a dissipative version of the standard nontwist map. Nontwist systems present a robust transport barrier, called the shearless curve, that becomes the shearless attractor when dissipation is introduced. This attractor can be…

Slow-fast dynamics and resonant phenomena can be found in a wide range of physical systems, including problems of celestial mechanics, fluid mechanics, and charged particle dynamics. Important resonant effects that control transport in the…

等离子体物理 · 物理学 2020-03-18 A. V. Artemyev , A. I. Neishtadt , A. A. Vasiliev

Structures such as waves, jets, and vortices have a dramatic impact on the transport properties of a flow. Passive tracer transport in incompressible two-dimensional flows is described by Hamiltonian dynamics, and, for idealized structures,…

chao-dyn · 物理学 2009-10-22 Jeffrey B. Weiss

To characterize transport in a deterministic dynamical system is to compute exit time distributions from regions or transition time distributions between regions in phase space. This paper surveys the considerable progress on this problem…

混沌动力学 · 物理学 2015-03-24 J. D. Meiss

Some internal transport barriers in tokamaks have been related to the vicinity of extrema of the plasma equilibrium profiles. This effect is numerically investigated by considering the guiding-center trajectories of plasma particles…

等离子体物理 · 物理学 2023-03-15 G. C. Grime , M. Roberto , R. L. Viana , Y. Elskens , I. L. Caldas

The destruction of regular regions in two-dimensional, area-preserving maps is traditionally described in terms of the breakup of invariant curves and the persistence of transport barriers. Here, we investigate how this scenario changes…

In this paper, we consider chaotic dynamics and variational structures of area-preserving maps. There is a lot of study on dynamics of their maps and the works of Poincare and Birkhoff are well-known. To consider variational structures of…

动力系统 · 数学 2022-12-06 Yuika Kajihara

Cross-jet transport of passive scalars in a kinematic model of the meandering laminar two-dimensional incompressible flow which is known to produce chaotic mixing is studied. We develop a method for detecting barriers to cross-jet transport…

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

We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within the chaotic sea is described by an exponential decay for…

We show that the nontwist phenomena previously observed in Hamiltonian systems exist also in time-reversible non-Hamiltonian systems. In particular, we study the two standard collision/reconnection scenarios and we compute the parameter…

混沌动力学 · 物理学 2007-05-23 E. G. Altmann , G. Cristadoro , D. Pazó

First principle gyrokinetic simulation of the edge turbulent transport in toroidal plasmas finds a reverse trend in the turbulent transport coefficients under strong gradients. It is found that there exist both linear and nonlinear critical…

等离子体物理 · 物理学 2017-03-07 H. S. Xie , Y. Xiao , Z. Lin
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