The birth-death stochastic processes of "solitons" in the 1D Benney equation

Authors
Konno, H Lomdahl, PS
Citation
H. Konno et Ps. Lomdahl, The birth-death stochastic processes of "solitons" in the 1D Benney equation, J PHYS JPN, 69(6), 2000, pp. 1629-1641
Citations number
39
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
69
Issue
6
Year of publication
2000
Pages
1629 - 1641
Database
ISI
SICI code
0031-9015(200006)69:6<1629:TBSPO">2.0.ZU;2-B
Abstract
The birth-death process of "soliton"-like excitation in the 1D Benney equat ion is studied. It is shown that the "soliton"-number fluctuation is subjec ted to the sub-Poissonian statistics, which is caused by the interaction be tween "solitons" and "radiation". The features of "soliton"-like excitation s and the relevance of "hole"-like excitation are described from the points of view of the stochastic process and statistical mechanics.