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Correlations and pair emission in the escape dynamics of ions from one-dimensional traps
Correlations pair emission escape dynamics of ions one-dimensional traps
2010/12/28
We explore the non-equilibrium escape dynamics of long-range interacting ions in one-dimensional traps. The phase space of the few ion setup and its impact on the escape properties are studied.
Asymptotic stability of spin orbit resonance for the dynamics of a viscoelastic satellite
Asymptotic stability spin orbit resonance dynamics viscoelastic satellite
2011/2/25
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks Complex Dynamics
2011/2/23
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
Lattice Models of Nonequilibrium Bacterial Dynamics
Lattice Models Nonequilibrium Bacterial Dynamics
2011/3/2
We study a model of self propelled particles exhibiting run-and-tumble dynamics on lattice. This non-Brownian di usion is characterised by a random walk with a nite persistence length between changes...
Effective evolution equations from many body quantum dynamics
Effective evolution equations many body quantum dynamics
2011/2/24
In these notes we review some recent results concerning the derivation of effective
equations from first principle quantum dynamics. In particular, we discuss the derivation
of the semi-relativistic...
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Spectral degeneracy and escape dynamics for intermittent maps with a hole
Escape rate Pomeau-Manneville maps Perron-Frobenius operators
2011/1/20
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets.
Dynamics of continued fractions and kneading sequences of unimodal maps
Dynamics of continued fractions kneading sequences of unimodal maps
2011/1/20
The goal of this paper is to provide a link between the parameter spaces of two families of one-dimensional dynamical systems, and to shed some light onto some sets of numbers which arise as “exceptio...
Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Two phase Stefan-type problem Regularization initial data phase dynamics
2011/1/18
In this paper we investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution is very...
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics
2010/12/28
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics Stokes waves
2011/1/18
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Oscillator populations Kuramoto transition hyperbolic chaos robust chaos
2010/12/28
We study chaotic behavior of order parameters in two coupled ensembles of selfsustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual intera...
Applications of Differential Chains to Complex Analysis and Dynamics
Differential Chains Complex Analysis Dynamics
2011/2/28
First and foremost, I would like to thank my advisor Sarah Koch for being so generous with her time and energy.
Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surface
C1-diffeomorphisms dynamics generic conservative diffeomorphisms of surface
2010/11/24
In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss is that a C1-generi...
Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
Lieb-Robinson Bounds Quasi-locality Dynamics Many-Body Quantum Systems
2010/11/23
We review a recently proven Lieb-Robinson bound for general, many-body quantum systems with bounded interactions. Several basic examples are discussed as well as the connection between commutator esti...