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Anomalous transport of particles in Plasma physics
Kinetic equations Fokker-Planck operator L′evy statistic anomalous diffusion limit fractional heat equation
2015/10/15
We investigate the long time/small mean-free-path asymptotic behavior of the solutions of a Vlasov-L′evy-Fokker-Planck equation and show that the asymptotic dynamics for the VLFP are described by an a...
Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture
testing in dynamics, geometry, mathematical physics and spectral
theory. Th...
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...
Fusion modeling in plasma physics: Vlasov-like systems
Fusion modeling plasma physics Vlasov-like systems
2010/12/28
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
Fusion modeling in plasma physics: Vlasov-like systems
Fusion plasma physics Vlasov-like systems
2011/3/3
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
A physics pathway to the Riemann hypothesis
Riemann hypothesis zeta function,quantum mechanics quantum chaos
2011/2/23
We present a brief review of the spectral approach to the Riemann hypothesis,according to which the imaginary part of the non trivial zeros of the zeta function are the the eigenvalues of the Hamilton...
Concrete Foundations for Categorical Quantum Physics
Concrete Foundations Categorical Quantum Physics
2011/3/4
An original presentation of Categorical Quantum Physics, in the line of Abramsky and Coecke [10], tries to introduce only objects and assumptions that are clearly relevant to Physics and does not assu...
Effective statistical physics of Anosov systems
Effective statistical physics Anosov systems
2010/12/15
We present evidence indicating that Anosov systems can be endowed with a unique physically
reasonable e ective temperature. Results for the two paradigmatic Anosov systems (i.e., the cat map and the ...
We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a description of perturbative qu...
A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
Computer Algebra Harmonic Sums Related Particle Physics
2010/11/11
In this work we present the computer algebra package HarmonicSums and its theoretical background for the manipulation of harmonic sums and some related quantities as for example Euler-Zagier sums and...
Information Physics: The New Frontier
entropy information physics lattice measure order poset probability quantification
2010/12/13
At this point in time, two major areas of physics, statistical mechanics and quantum mechanics,
rest on the foundations of probability and entropy. The last century saw several significant
fundament...
Edinburgh Lectures on Geometry, Analysis and Physics
Edinburgh Lectures on Geometry Analysis Physics
2010/12/13
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
Critical Point Theory in Mathematics and in Mathematical Physics
Critical Point Theory Mathematics Mathematical Physics
2010/3/5
Critical Point Theory in Mathematics and in Mathematical Physics。
Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions
differential equation time dependence sinusoidal nonlinearity
2010/4/8
We consider the first order differential equation with a sinusoidal nonlinearity and periodic time dependence, that is, the periodically driven overdamped pendulum. The problem is studied in the case ...
Some elements of Dynamic Geometry and optimization in Physics
Geometry and Physics fractals compatibility criteria growth process accommodation
2009/2/25
The strong connection of the Physics and Geometry is wellknown,
beginning with the roots in the geometrical similitude of the important
method of the Physics similarity, up to the recent development...