18,455 research outputs found
Qualitative analysis of the dynamics of the time delayed Chua's circuit
IEEE TRANS. CIRCUITS SYST.
The Role of Chaos in One-Dimensional Heat Conductivity
We investigate the heat conduction in a quasi 1-D gas model with various
degree of chaos. Our calculations indicate that the heat conductivity
is independent of system size when the chaos of the channel is strong enough.
The different diffusion behaviors for the cases of chaotic and non-chaotic
channels are also studied. The numerical results of divergent exponent
of heat conduction and diffusion exponent are in consistent with the
formula . We explore the temperature profiles numerically and
analytically, which show that the temperature jump is primarily attributed to
superdiffusion for both non-chaotic and chaotic cases, and for the latter case
of superdiffusion the finite-size affects the value of remarkably.Comment: 6 pages, 7 figure
Sound synchronization of bubble trains in a viscous fluid : Experiment and modeling
Acknowledgements: We thank the São Paulo State Agency FAPESP and the Federal Brazilian Agency CNPq for the financial support. M.S.B. acknowledges EPSRC Grant No. EP/IO32606/1.Peer reviewedPublisher PD
Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
We present an overview of our studies on the nonequilibrium dynamics of
quantum systems that have many interacting particles. Our emphasis is on
systems that show strong level repulsion, referred to as chaotic systems. We
discuss how full random matrices can guide and support our studies of realistic
systems. We show that features of the dynamics can be anticipated from a
detailed analysis of the spectrum and the structure of the initial state
projected onto the energy eigenbasis. On the other way round, if we only have
access to the dynamics, we can use it to infer the properties of the spectrum
of the system. Our focus is on the survival probability, but results for other
observables, such as the spin density imbalance and Shannon entropy are also
mentioned.Comment: 14 pages, 7 figures, chapter for the book "Thermodynamics in the
Quantum Regime - Recent Progress and Outlook
Stability of the trapped nonconservative Gross-Pitaevskii equation with attractive two-body interaction
The dynamics of a nonconservative Gross-Pitaevskii equation for trapped
atomic systems with attractive two-body interaction is numerically
investigated, considering wide variations of the nonconservative parameters,
related to atomic feeding and dissipation. We study the possible limitations of
the mean field description for an atomic condensate with attractive two-body
interaction, by defining the parameter regions where stable or unstable
formation can be found. The present study is useful and timely considering the
possibility of large variations of attractive two-body scattering lengths,
which may be feasible in recent experiments.Comment: 6 pages, 5 figures, submitted to Physical Review
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
A new computational technique based on the symbolic description utilizing
kneading invariants is proposed and verified for explorations of dynamical and
parametric chaos in a few exemplary systems with the Lorenz attractor. The
technique allows for uncovering the stunning complexity and universality of
bi-parametric structures and detect their organizing centers - codimension-two
T-points and separating saddles in the kneading-based scans of the iconic
Lorenz equation from hydrodynamics, a normal model from mathematics, and a
laser model from nonlinear optics.Comment: Journal of Bifurcations and Chaos, 201
Chaotic dynamics in a storage-ring Free Electron Laser
The temporal dynamics of a storage-ring Free Electron Laser is here
investigated with particular attention to the case in which an external
modulation is applied to the laser-electron beam detuning. The system is shown
to produce bifurcations, multi-furcations as well as chaotic regimes. The
peculiarities of this phenomenon with respect to the analogous behavior
displayed by conventional laser sources are pointed out. Theoretical results,
obtained by means of a phenomenological model reproducing the evolution of the
main statistical parameters of the system, are shown to be in a good agreement
with experiments carried out on the Super-ACO Free Electron Laser.Comment: submitted to Europ Phys. Journ.
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