Monte Carlo simulations of the randomly forced Burgers equation

Autor:	Düben, P., Homeier, D., Jansen, K., Mesterhazy, D., Münster, G., Urbach, C.
Rok vydání:	2008
Předmět:	High Energy Physics - Lattice
Zdroj:	Europhys.Lett.84:40002,2008
Druh dokumentu:	Working Paper
DOI:	10.1209/0295-5075/84/40002
Popis:	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-eq.) 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. Comment: 4 pages, 3 figures submitted to EPL
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0809.4959 Zobrazit plný text záznamu View this record from Arxiv