Volume 84, Number 4, November 2008
|Number of page(s)||4|
|Published online||28 October 2008|
Monte Carlo simulations of the randomly forced Burgers equation
Westfälische Wilhelms-Universität Münster - Schlossplatz 2, D-48149 Münster, Germany, EU
2 DESY - Platanenallee 6, D-15738 Zeuthen, Germany, EU
3 Humboldt-Universität zu Berlin - Unter den Linden 6, D-10099 Berlin, Germany, EU
Corresponding author: firstname.lastname@example.org
Accepted: 9 October 2008
The behaviour of the one-dimensional random-forced Burgers equation is investigated in the path integral formalism, using a discrete space-time lattice. We show that by means of Monte Carlo methods one may evaluate observables, such as structure functions, as ensemble averages over different field realizations. The regularization of shock solutions to the zero-viscosity limit (Hopf equation) eventually leads to constraints on lattice parameters, required for the stability of the simulations. Insight into the formation of localized structures (shocks) and their dynamics is obtained.
PACS: 02.70.Uu – Applications of Monte Carlo methods / 05.20.Jj – Statistical mechanics of classical fluids / 47.40.Nm – Shock wave interactions and shock effects
© EPLA, 2008
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.