23.05.2014 Views

Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics

Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics

Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Magnetohydrodynamic stability <strong>of</strong> stochastically driven accretion<br />

flows<br />

Sujit Kumar Nath 1 , Banibrata Mukhopadhyay 1 , Amit K. Chattopadhyay 2<br />

1. Department <strong>of</strong> <strong>Physics</strong>, Indian Institute <strong>of</strong> Science, Bangalore 560 012, India;<br />

sujitkumar@physics.iisc.ernet.in ; bm@physics.iisc.ernet.in<br />

2. Aston University, Non-linearity and Complexity Research Group, Engineering<br />

and Applied Science, Birmingham B4 7ET, UK; a.k.chattopadhyay@aston.ac.uk<br />

Abstract<br />

We investigate the origin <strong>of</strong> magnetohydrodynamic turbulence in rotating shear flows. The<br />

particular emphasis is the flows whose angular velocity decreases but specific angular momentum<br />

increases with increasing radial coordinate. Such flows, which are extensively seen in astrophysics,<br />

are Rayleigh stable, but must be turbulent in order to explain observed data. The present work<br />

explores the effect <strong>of</strong> stochastic noise on such magnetohydrodynamic flows. We essentially concentrate<br />

on a small section <strong>of</strong> such a flow which is nothing but a plane shear flow supplemented<br />

by the Coriolis effect. This also mimics a small section <strong>of</strong> an astrophysical accretion disk. It is<br />

found that such stochastically driven flows exhibit large temporal and spatial correlations <strong>of</strong> perturbation<br />

velocities, and hence large energy dissipations <strong>of</strong> perturbation increasing indefinitely with<br />

time, which presumably generates instability. A range <strong>of</strong> specific angular momentum (λ) pr<strong>of</strong>iles,<br />

as functions <strong>of</strong> radial coordinate <strong>of</strong> background flow, starting from Keplerian to constant specific<br />

angular momentum is explored. However, all the background pr<strong>of</strong>iles exhibit identical growth and<br />

roughness exponents with similar amplitude <strong>of</strong> perturbations <strong>of</strong> energy, revealing a unique universality<br />

class for the stochastically forced magnetohydrodynamics <strong>of</strong> rotating shear flows. This work,<br />

is an attempt to understand origin <strong>of</strong> instability and turbulence in the three-dimensional Rayleigh<br />

stable rotating shear flows. This has important implications to resolve the turbulence problem in<br />

astrophysical magnetohydrodynamic flows such as accretion disks.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!