TY - JOUR
T1 - Kinetic theory of Jeans instability
AU - Trigger, S. A.
AU - Ershkovich, A. I.
AU - Van Heijst, G. J.F.
AU - Schram, P. P.J.M.
N1 - Funding Information:
The authors are grateful to the Netherlands Organization for Scientific Research (NWO) for supporting their investigations on granular systems.
PY - 2004
Y1 - 2004
N2 - Kinetic treatment of the Jeans gravitational instability, with collisions taken into account, is presented. The initial-value problem for the distribution function which obeys the kinetic equation, with the collision integral conserving the number of particles, is solved. Dispersion relation is obtained and analyzed. New modes are found. Collisions are shown not to affect the Jeans instability criterion. Although the instability growth rate diminishes, the collisions they cannot quench the instability. However, the oscillation spectrum is modified significantly: even in the neighborhood of the threshold frequency [Formula presented] (separating stable and unstable modes) the spectrum of oscillations can strongly depend on the collision frequency. Propagating (rather than aperiodic) modes are also found. These modes, however, are strongly damped.
AB - Kinetic treatment of the Jeans gravitational instability, with collisions taken into account, is presented. The initial-value problem for the distribution function which obeys the kinetic equation, with the collision integral conserving the number of particles, is solved. Dispersion relation is obtained and analyzed. New modes are found. Collisions are shown not to affect the Jeans instability criterion. Although the instability growth rate diminishes, the collisions they cannot quench the instability. However, the oscillation spectrum is modified significantly: even in the neighborhood of the threshold frequency [Formula presented] (separating stable and unstable modes) the spectrum of oscillations can strongly depend on the collision frequency. Propagating (rather than aperiodic) modes are also found. These modes, however, are strongly damped.
UR - http://www.scopus.com/inward/record.url?scp=42749109142&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.69.066403
DO - 10.1103/PhysRevE.69.066403
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
C2 - 15244741
AN - SCOPUS:42749109142
SN - 2470-0045
VL - 69
SP - 066403-1-066403-6
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 066403
ER -