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  • Note that will actually close the abstract submission saturday March 19th.
  • Postdeadline abstracts are welcome, but will only be considered for poster presentation, please contact the organizing committee to propose a contribution.


The main goal of the CCT11 conference is to discuss shared phenomena in nonlinear dynamics related to chaos, transport and complexity. A strong emphasis will be put on the interdisciplinary character of the conference. In the spirit of its interdisciplinary character, CCT11 will contain theoretical, numerical and experimental contributions (as lectures, oral communications and posters). The committees will encourage the interactions between experimentalists and theoreticians in the same fields but also cross-disciplinary contributions. Participants will have the opportunity to present their research work as oral communications and/or posters. The attention will be put on cutting-edge research in the selection process of these contributions, as well as a balance between theory, numerics and experiment.

Topics

  • Chaos
  • transport
  • complex system
  • self-organization
  • Hamiltonian systems
  • mixing
  • quantum chaos
  • control
  • fluid mechanics
  • plasma physics
  • nonlinear optics

Scientific context

When dressing up a panorama of current physics problems, one may notice that the terms "complex systems" are becoming a quasi generic term. In fact the notion of complex systems can encompass an even wider area than physics related problems ranging from biology to social sciences. Regarding the purely physical realm, complex systems can been seen as systems composed of many agents, usually interacting through non-linear processes on for instance complex networks. Recent developments in this area have investigated the creation of the network themselves, and are now considering as the dynamics of the network itself. These recent evolutions are allowing to potentially bridge the gap between these studies and those arising in nonlinear physics such as pattern formation and rise of turbulence and chaos, opening de facto a wide new range of possibilities.

In the same spirit the rise of chaos and turbulence which is generic in nonlinear systems is often at the foundations of the kinetic theories derived to describe the asymptotic behaviour of transport properties. The understanding of transport properties rising from the chaotic trajectories of single particles has, beyond its intrinsic theoretical interest, many relevant applications in physical systems ranging from fluid mechanics and plasma physics to accelerator physics, condensed matter, astrophysics, celestial mechanics or oceanographic and atmospheric sciences.

In the early days of the study of chaos, ergodic theory provided an adequate support for the kinetic approach. This is no longer the case. If we are to describe new experimental observations, data from simulations, and to develop new applications, a significantly broader notion of transport is required as well as an expanded arsenal of mathematical tools. Uniform chaos is not often a realistic physical realisation. The phase space is divided between regions where the motion is regular or irregular. Such diversity in the dynamical landscape makes transport properties more subtle than initially anticipated. In fact, many difficulties are already present in the case of few degrees of freedom for Hamiltonian systems. Typically the phase space of smooth Hamiltonian systems is not ergodic in a global sense, due to the presence of islands of stability, the rate of phase space mixing in the chaotic sea is not uniform due to the phenomenon of "stickiness", and the Gaussian nature of transport is generally lost, due to the so-called flights and trappings and the associated power-law tails observed in probability distributions. This last feature is also shared with most systems dealing with complexity. Understanding the paths from dynamics to kinetics and from kinetics to transport and complexity involves a strong interdisciplinary interaction among experts in theory, experiments and applications.

The main goal of the conference is to discuss these commonly shared phenomena, which are associated with Levy-type processes, strange (fractal) kinetics, intermittency, complex systems etc. The discussion would include the dynamical origin of these anomalous statistical properties as well as their physical applications in particle dynamics for various fields of physics. The classical approach to study transport dynamics has been complemented by various novel approaches, based on either the development of new physical and mathematical ideas and on the implementation of sophisticated numerical codes. The concept of Levy processes, fractional kinetics and anomalous transport have proved to be extremely important from a conceptual point of view. indicating a new direction in the nonlinear dynamics. However, many questions are still open, from both a conceptual and an applied point of view. For example, the role of chaotic advection in complex situations has still to be properly addressed, with the aim of understanding which (if any) of the properties commonly attributed to the processes of turbulent dispersion may be accounted for by the basic nonlinear mechanisms encountered in chaotic advection. Analogously, the non perfect nature of the tracers used in geophysical measurements and/or the possible 'active' nature of some constituents turns out to be very important, determining a different behaviour of the advected particles and of true fluid particles. Further on, it is now clear that there exist regimes of anomalous diffusion, which may lead to a faster spreading and escape of advected quantities. Such a phenomenon is especially important in plasma dynamics, as well as in turbulent flows due to the action of coherent structures. The regimes of anomalous diffusion may have a truly asymptotic nature or they may be intermediate regimes encountered in proximity of significant time scales of the system; a better comprehension of these regimes would be important for various applications.