Universal statistics of branched flows.
Phys Rev Lett
; 105(2): 020601, 2010 Jul 09.
Article
en En
| MEDLINE
| ID: mdl-20867694
ABSTRACT
Even very weak correlated disorder potentials can cause extreme fluctuations in Hamiltonian flows. In two dimensions this leads to a pronounced branching of the flow. Although present in a great variety of physical systems, a quantitative theory of the branching statistics is lacking. Here, we derive an analytical expression for the number of branches valid for all distances from a source. We also derive the scaling relations that make this expression universal for a wide range of random potentials. Our theory has possible applications in many fields ranging from semiconductor to geophysics.
Buscar en Google
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Phys Rev Lett
Año:
2010
Tipo del documento:
Article
País de afiliación:
Alemania