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The chaotic diffusion for a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action is investigated by using the solution of the diffusion equation. The system is described by a two-dimensional mapping for the…

混沌动力学 · 物理学 2017-12-06 Edson D. Leonel , Célia M. Kuwana

The aim of this work is to revise but also explore even further the escape dynamics in the H\'{e}non-Heiles system. In particular, we conduct a thorough and systematic numerical investigation distinguishing between trapped (ordered and…

混沌动力学 · 物理学 2017-09-28 Euaggelos E. Zotos

As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

地球与行星天体物理 · 物理学 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

The dissipative quantum electromagnetics is introduced in a comprehensive manner as a field-matter-bath coupling problem. First, the matter is described by a cluster of Lorentz oscillators. Then the Maxwellian free field is coupled to the…

量子物理 · 物理学 2018-11-21 Wei E. I. Sha , Aiyin Y. Liu , Weng Cho Chew

High order harmonic (HOH) generation by interacting extremely intense electromagnetic waves in the quantum vacuum is investigated within the framework of the Heisenberg-Euler formalism. We consider here the process in the lowest order of a…

等离子体物理 · 物理学 2026-01-13 Pavel Sasorov , Sergei Bulanov

This paper uses the assumptions of ergodicity and a microcanonical distribution to compute estimates of the largest Lyapunov exponents in lower-dimensional Hamiltonian systems. That the resulting estimates are in reasonable agreement with…

天体物理学 · 物理学 2009-11-07 Henry E. Kandrup , Ioannis V. Sideris , C. L. Bohn

The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to…

chao-dyn · 物理学 2009-10-22 Salman Habib , Robert D. Ryne

A hydrodynamic-type, macroscopic theory was set up recently to simultaneously account for dissipation and dispersion of electromagnetic field, in nonstationary condensed systems of nonlinear constitutive relations~\cite{JL}. Since it was…

统计力学 · 物理学 2009-10-31 Yimin Jiang , Mario Liu

The noise-enhanced trapping is a surprising phenomenon that has already been studied in chaotic scattering problems where the noise affects the physical variables but not the parameters of the system. Following this research, in this work…

混沌动力学 · 物理学 2021-06-30 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

Dynamical behaviors of a dissipative particle in a periodic potential subject to chaotic noise are reported. We discovered a macroscopic symmetry breaking effect of chaotic noise on a dissipative particle in a multi-stable systems emerging,…

chao-dyn · 物理学 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

A particle in the H\'enon-Heiles potential can escape when its energy is above the threshold value $E_{th}={1/6}$. We report a theoretical study on the the escape rates near threshold. We derived an analytic formula for the escape rate as a…

混沌动力学 · 物理学 2007-05-23 H. J. Zhao , M. L. Du

In this manuscript we show that a noise-activated escape phenomenon occurs in closed Hamiltonian systems. Due to the energy fluctuations generated by the noise, the isopotential curves open up and the particles can eventually escape in…

混沌动力学 · 物理学 2021-11-17 Alexandre R. Nieto , Jesus M. Seoane , Miguel A. F. Sanjuan

We study the dynamical behaviors of a system of five coupled nonlinear equations that describes the dynamics of acoustic-gravity waves in the atmosphere. A linear stability analysis together with the analysis of Lyapunov exponents spectra…

混沌动力学 · 物理学 2019-03-08 A. Roy , S. Roy , A. P. Misra

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 propose as a generalization of an idea of Ruelle to describe turbulent fluid flow a chaotic hypothesis for reversible dissipative many particle systems in nonequilibrium stationary states in general. This implies an extension of the…

chao-dyn · 物理学 2009-10-28 G. Gallavotti , E. G. D. Cohen

A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies. This equation is solved asymptotically as the…

数学物理 · 物理学 2009-11-13 A. G. Ramm

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

光学 · 物理学 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

Using recent results in the field of quantum chaos we derive explicit expressions for the time scale of decoherence induced by the system-environment entanglement. For a generic system-environment interaction and for a generic quantum…

量子物理 · 物理学 2009-11-13 Wen-ge Wang , Jiangbin Gong , G. Casati , Baowen Li

A high energy density plasma embedded in a neutral gas is able to launch an outward-propagating nonlinear electrostatic ionization wave that traps energetic electrons. The trapping maintains a strong sheath electric field, enabling rapid…

等离子体物理 · 物理学 2021-02-24 Haotian Mao , Kathleen Weichman , Zheng Gong , Todd Ditmire , Hernan Quevedo , Alexey Arefiev

The kinetic damping mechanism of low frequency transverse perturbations propagating parallel to the magnetic field in a magnetized warm electron plasma is simulated by means of electromagnetic (EM) Vlasov simulations. The short-time-scale…

等离子体物理 · 物理学 2022-10-26 Anjan Paul , Devendra Sharma