Numerical aspects of searching convective/absolute instability transition

Quantum Aspects of Ergoregion Instability

It has been known classically that a star with an ergoregion but no event horizon is unstable to the emission of scalar, electromagnetic and gravitational waves. This classical ergoregion instability is characterized by complex frequency modes. We show how to canonically quantize a neutral scalar field in the presence of such unstable modes by considering a simple model for a rapidly rotating s...

Numerical instability in CMAQ

numerical simulation of rayleigh-taylor instability

rayleigh-taylor (rt) instability has a growing importance in many fields including aircraft industry and astrophysics. the development and the growth of rt instability were investigated using sinusoidal disturbances with different wavelength at the interface of two fluids. numerical simulations were performed by solving navier-stokes unsteady equations with the vof formulation. results of the 2...

Microtubule dynamic instability: numerical simulation of microtubule transition properties using a Lateral Cap model.

We present a numerical formulation for the dynamic instability of microtubules involving the stabilisation of growing microtubules by a single layer of tubulin-GTP, with GTP hydrolysis effectively coupled to tubulin-GTP addition. This Lateral Cap model provides a readily visualised, working mechanism for the co-existence and interconversion of growing and shrinking microtubules. This class of m...

Study of the Transition to Instability in Second-Harmonic Generation with Scale Index Method

The emergence of second-harmonic generation (SHG) is a pivotal issue to the development of nano-optical devices and interfaces. Here, we perform a classical analysis of the SHG dynamics with the aim of determining critical values of the electric field. The signals of the SHG process are nonlinear, so it seems reasonable that chaos theory can be a suitable tool to analyze their dynamics. For thi...