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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...
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Cascades of Particles Moving at Finite Velocity in Hyperbolic Spaces
Branching processes difference-differential equations hyperbolic Brownian motion hyperbolic trigonometry
2011/9/20
Abstract: A branching process of particles moving at finite velocity over the geodesic lines of the hyperbolic space (Poincar\'e half-plane and Poincar\'e disk) is examined. Each particle can split in...
Particles approximations of Vlasov equations with singular forces : Part. 2
Derivation of kinetic equations Particle methods Vlasov equation Propagation of chaos
2011/9/15
Abstract: We prove propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq 3$. We also recover th...
Modeling Flocks and Prices: Jumping Particles with an Attractive Interaction
Competing particles center of mass mean field evolution traveling wave fluid limit extreme value statistics
2011/9/13
Abstract: We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle ...
Ordering of small particles in one-dimensional coherent structures by time-periodic flows
time-periodic flows small particles Ordering one-dimensional coherent structures
2011/7/7
Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spon...
Conservative interacting particles system with anomalous rate of ergodicity
H¨ormander type generators conservative interacting particle system ergodicity
2011/1/17
We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore,we show that convergence rate to equilibrium is expon...
Electromagnetic wave scattering by a thin layer in which many small particles are embedded
electromagnetic waves wave scattering by many small bodies
2011/1/21
Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances.
An interacting particles model and a Pieri-type formula for the orthogonal group
interacting particles model Pieri-type formula orthogonal group
2011/1/17
We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometri...
Time scales in large systems of Brownian particles with stochastic synchronization
\Time scales large systems of Brownian particles stochastic synchronization
2011/1/21
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments { n}1 n=1. Under assumption that the...
The Clifford Algebra approach to Quantum Mechanics A: The Schroedinger and Pauli Particles
The Clifford Algebra approach Quantum Mechanics
2010/11/23
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
Resonant cyclotron acceleration of particles by a time periodic singular flux tube
cyclotron particles periodic singular flux tube
2010/11/8
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically time-dependent singu...
Concentration of measure for systems of Brownian particles interacting through their ranks
Concentration of measure Brownian particles
2010/11/17
We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation ...
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...
Ordered and disordered dynamics in monolayers of rolling particles
Ordereddisordered dynamics monolayers of rolling particles
2010/12/15
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par-
ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...