The Work of Dmitry Dolgopyat on Physical Models with Moving Particles
نویسنده
چکیده
D. Dolgopyat is the winner of the second Brin Prize in Dynamical Systems (2009). This article overviews his remarkable achievements in a nontechnical manner. It complements two other surveys of Dolgopyat’s work written by Y. Pesin and C. Liverani and published in this issue. This survey covers Dolgopyat’s work on various physical models, including the Lorentz gas, Galton board, and some systems of hard disks.
منابع مشابه
Fermi Acceleration
Fermi acceleration is a mechanism, first suggested by Enrico Fermi in 1949, to explain heating of particles in cosmic rays. Fermi studied charged particles being reflected by the moving interstellar magnetic field and either gaining or losing energy, depending on whether the ”magnetic mirror” is approaching or receding. In a typical environment, Fermi argued, the probability of a head-on collis...
متن کاملOn the Work and Vision of Dmitry Dolgopyat
We present some of the results and techniques due to Dolgopyat. The presentation avoids technicalities as much as possible while trying to focus on the basic ideas. We also try to present Dolgopyat’s work in the context of a research program aimed at enlightening the relations between dynamical systems and nonequilibrium statistical mechanics.
متن کاملNonlinear Analysis of Integrated Kinetics and Heat Transfer Models of Slow Pyrolysis of Biomass Particles using Differential Transformation Method
The inherent nonlinearities in the kinetics and heat transfer models of biomass pyrolysis have led to the applications of various numerical methods in solving the nonlinear problems. However, in order to have physical insights into the phenomena and to show the direct relationships between the parameters of the models, analytical solutions are required. In this work, approximate analytical solu...
متن کاملDust Particles and Aerosols: Impact on Biota “A Review” (Part I)
The impacts of Dust and Sand Storms (DSS) on people, crops, livestock, infrastructure and health are well documented. Data have accumulated on the deleterious effects of dust aerosols when they settle on plants. Sand blasting of low growing plants is a common cause of failure in reforestation efforts. Burial of plants by moving sands are also a cause of much damage. The physics of moving sand a...
متن کاملInvestigation of Charged Particles Radiation Moving in a Homogeneous Dispersive Medium (TECHNICAL NOTE)
In this work, we use Drude-Lorents model description to study the radiation of a charged particles moving in a homogeneous dispersive medium. A suitable quantized electromagnetic field for such medium is utilized to obtain proper equations for energy loss of the particle per unit length. The energy loss is separately calculated for transverse and longitudinal components of the filed operators. ...
متن کامل