Parametric instability of the real scalar pulsons

被引:12
作者
Koutvitsky, VA [1 ]
Maslov, EM [1 ]
机构
[1] IZMIRAN, Troitsk 142190, Moscow Region, Russia
关键词
nonlinear Klein-Gordon equation; pulsons; stability;
D O I
10.1016/j.physleta.2004.12.083
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate stability of localized time-periodic states (pulsons) of a real scalar field satisfying the Klein-Gordon equation with the logarithmic nonlinearity. It is shown that the pulsons of any amplitudes, remaining well-localized objects, lose their coherence with time. We thus conclude that, strictly speaking, all pulsons of the model considered are unstable. Nevertheless, for some amplitudes the rate of the coherence breaking is found to be very small, so that the corresponding pulsons are long-lived. (C) 2005 Published by Elsevier B.V.
引用
收藏
页码:31 / 36
页数:6
相关论文
共 19 条
[1]   INFLATIONARY MODELS WITH LOGARITHMIC POTENTIALS [J].
BARROW, JD ;
PARSONS, P .
PHYSICAL REVIEW D, 1995, 52 (10) :5576-5587
[2]   Solitons and their interactions in classical field theory [J].
Belova, TI ;
Kudryavtsev, AE .
USPEKHI FIZICHESKIKH NAUK, 1997, 167 (04) :377-406
[3]   GAUSSONS - SOLITONS OF THE LOGARITHMIC SCHRODINGER EQUATION [J].
BIALYNICKIBIRULA, I ;
MYCIELSKI, J .
PHYSICA SCRIPTA, 1979, 20 (3-4) :539-544
[4]  
BOGOLUBSKY IL, 1979, SOV PHYS JETP, V49, P219
[5]   COMMENTS ON NONLINEAR WAVE EQUATIONS AS MODELS FOR ELEMENTARY PARTICLES [J].
DERRICK, GH .
JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (09) :1252-&
[6]   Q-balls and baryogenesis in the MSSM [J].
Enqvist, K ;
McDonald, J .
PHYSICS LETTERS B, 1998, 425 (3-4) :309-321
[7]   The Lame equation in parametric resonance after inflation -: art. no. 103515 [J].
Finkel, F ;
González-López, A ;
Maroto, AL ;
Rodríguez, MA .
PHYSICAL REVIEW D, 2000, 62 (10) :1-7
[8]  
FLUGGE S, 1971, PRACTICAL QUANTUM ME, V1
[9]   Structure of resonance in preheating after inflation [J].
Greene, PB ;
Kofman, L ;
Linde, A ;
Starobinsky, AA .
PHYSICAL REVIEW D, 1997, 56 (10) :6175-6192
[10]   ON INSTABILITY OF A CLASS OF UNITARY FIELD MODELS [J].
HOBART, RH .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1963, 82 (526) :201-&