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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...
Semiclassical Mechanics of the Wigner $6j$-Symbol
Semiclassical Mechanics Wigner $6j$-Symbol
2010/12/6
The semiclassical mechanics of the Wigner 6j-symbol is examined from the standpoint of WKB theory for multidimensional, integrable systems,to explore the geometrical issues surrounding the Ponzano-Reg...
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Schr¨odinger operators eigenvalues spectral gaps
2010/12/9
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...
First-Passage Exponents of Multiple Random Walks
First-Passage Exponents Multiple Random Walks
2010/12/15
We investigate first-passage statistics of an ensemble of N noninteracting random walks on a line.Starting from a configuration in which all particles are located in the positive half-line, we study S...
Thermal effects in gravitational Hartree systems
Gravitation Hartree energy entropy ground states free energy Casimir functional
2010/11/26
We consider the non-relativistic Hartree model in the gravitational case, i.e. with
attractive Coulomb-Newton interaction. For a given mass M > 0, we construct stationary
states with non-zero temper...
Absolute continuity under flows generated by SDE with measurable drift coefficient
Stochastic differential equation strong solution density estimate
2010/12/14
We consider the Itˆo SDE with non-degenerate diffusion coefficient and measurable drift
coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the...
Tangent bundles to regular basic sets in hyperbolic dynamics
Tangent bundles hyperbolic dynamics
2010/11/26
Given a locally maximal compact invariant hyperbolic set for a C1 flow or diffeomorphism on a Riemann manifold with C1 unstable laminations, we construct an invariant continuous bundle of tangent ve...
From the Kinetic Theory of Gases to Continuum Mechanics
Hydrodynamic limits, Kinetic models Boltzmann equation Entropy production Euler equations Navier-Stokes equations
2010/12/10
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the veloc...
On Approximate Electromagnetic Cloaking by Transformation Media
Approximate Electromagnetic Cloaking Transformation Media
2010/12/10
We give a comprehensive study on regularized approximate electromagnetic cloaking via the transformation optics approach.
Grand canonical ensembles in general relativity
relativistic Gibbs state Fermi coordinates grand canonical ensemble ideal gas
2010/12/9
We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that formalism we derive ideal gas laws, and show how they depend on the g...
Double flag varieties for a symmetric pair and finiteness of orbits
Double flag varieties symmetric pair finiteness of orbits
2010/12/14
Let G be a reductive algebraic group over the complex number filed, and K = G be the fixed points of an involutive automorphism of G so that (G,K) is a symmetric pair.
Dynamics of a compact operator
compact operator dynamic of linear operator average iterate
2011/1/17
Let T : X ! X be a compact linear (or more generally affine) operator from a Banach space into itself. For each x 2 X, the sequence of iterates T nx, n = 0, 1, · · · and its averages 1 k Pn k=0 T k...
Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators
synchronization manifold der Pol oscillators nearest neighbors
2010/4/1
We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit...
Van der Pol-Duffing振子的混沌及控制
混沌 振子 Van der Pol-Duffing
2009/11/2
通过相图、全局分叉图、庞加莱映射图对周期激励Van der Pol-Duffing振子的混沌行为进行了分析,利用两种方法实现了该系统的混沌控制,将该系统的混沌行为有效地控制到稳定的周期轨道.