Longitudinal head-tail instability in a non-harmonic potential well

2002 ◽  
Author(s):  
Bo Chen ◽  
A.W. Chao
Keyword(s):  
Harmonic Potential ◽  
Potential Well

GLOBAL WELL-POSEDNESS AND INSTABILITY OF A NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL

2014 ◽  
Vol 98 (1) ◽  
pp. 78-103
Author(s):  
T. SAANOUNI
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Harmonic Potential ◽  
Well Posedness ◽  
Potential Well ◽  
Nonlinear Schrödinger ◽  
The Cauchy Problem ◽  
Two Space Dimensions

AbstractThis paper is concerned with the Cauchy problem for a nonlinear Schrödinger equation with a harmonic potential and exponential growth nonlinearity in two space dimensions. In the defocusing case, global well-posedness is obtained. In the focusing case, existence of nonglobal solutions is discussed via potential-well arguments.

scholarly journals Trapping of a particle in a short-range harmonic potential well

2012 ◽  
Vol 51 (1) ◽  
pp. 265-277 ◽  
Author(s):  
L. B. Castro ◽  
A. S. de Castro
Keyword(s):  
Short Range ◽  
Harmonic Potential ◽  
Potential Well

Monte Carlo results for a linear polymer confined to a harmonic potential well

1991 ◽  
Vol 24 (12) ◽  
pp. 3584-3586 ◽  
Author(s):  
J. James ◽  
G. C. Barker ◽  
M. Silbert
Keyword(s):  
Monte Carlo ◽  
Linear Polymer ◽  
Harmonic Potential ◽  
Potential Well

scholarly journals A Hidden Markov Model for Detecting Confinement in Single Particle Tracking Trajectories

2018 ◽  
Author(s):  
PJ Slator ◽  
NJ Burroughs
Keyword(s):  
Particle Tracking ◽  
Single Particle ◽  
Hidden Markov ◽  
Single Particle Tracking ◽  
Harmonic Potential ◽  
Potential Well ◽  
Biological Phenomena ◽  
Two Phases ◽  
The Individual ◽  
Confinement Model

AbstractState-of-the-art single particle tracking (SPT) techniques can generate long trajectories with high temporal and spatial resolution. This offers the possibility of mechanistically interpreting particle movements and behaviour in membranes. To this end, a number of statistical techniques have been developed that partition SPT trajectories into states with distinct diffusion signatures, allowing a statistical analysis of diffusion state dynamics and switching behaviour. Here we develop a confinement model, within a hidden Markov framework, that switches between phases of free diffusion, and confinement in a harmonic potential well. By using a Markov chain Monte Carlo (MCMC) algorithm to fit this model, automated partitioning of individual SPT trajectories into these two phases is achieved, which allows us to analyse confinement events. We demonstrate the utility of this algorithm on a previously published dataset, where gold nanoparticle (AuNP) tagged GM1 lipids were tracked in model membranes. We performed a comprehensive analysis of confinement events, demonstrating that there is heterogeneity in the lifetime, shape, and size of events, with confinement size and shape being highly conserved within trajectories. Our observations suggest that heterogeneity in confinement events is caused by both individual nanoparticle characteristics and the binding site environment. The individual nanoparticle heterogeneity ultimately limits the ability of iSCAT to resolve molecular dynamics to the order of the tag size; homogeneous tags could potentially allow the resolution to be taken below this limit by deconvolution methods. In a wider context, the presented harmonic potential well confinement model has the potential to detect and characterise a wide variety of biological phenomena, such as hop diffusion, receptor clustering, and lipid rafts.

Discrete resonances of sine-Gordon solitons trapped in a harmonic potential well

1986 ◽  
Vol 114 (4) ◽  
pp. 161-164 ◽  
Author(s):  
J.C. Fernandez ◽  
J.JP. Leon ◽  
G. Reinisch
Keyword(s):  
Harmonic Potential ◽  
Potential Well

GIANT RESONANCES IN A POTENTIAL WELL : A SEMICLASSICAL DESCRIPTION

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-19-C2-26
Author(s):  
X. VIÑAS ◽  
A. GUIRAO
Keyword(s):  
Potential Well ◽  
Giant Resonances
Sign in / Sign up

Export Citation Format

Share Document