Volume 108, Number 4, November 2014
|Number of page(s)||6|
|Published online||19 November 2014|
Lagrangian quantum turbulence model based on alternating superfluid/normal fluid stochastic dynamics
Queen Mary University of London, School of Mathematical Sciences - Mile End Road, London E1 4NS, UK
Received: 9 August 2014
Accepted: 30 October 2014
Inspired by recent measurements of the velocity and acceleration statistics of Lagrangian tracer particles embedded in a turbulent quantum liquid we propose a new superstatistical model for the dynamics of tracer particles in quantum turbulence. Our model consists of random sequences S/N/S/… where the particle spends some time being trapped on vortex lines of the superfluid (S) and some time in the normal liquid (N). This model leads to a superposition of power law distributions generated in the superfluid and Gaussian distributions in the normal liquid, in excellent agreement with experimental measurements. We include memory effects into our analysis and present analytic predictions for probability densities and correlation functions.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 67.25.dk – Vortices and turbulence / 47.27.E- – Turbulence simulation and modeling
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.