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BEGIN:VEVENT
DTSTAMP:20260624T193239Z
DTSTART;VALUE=DATE-TIME:20110518T130000
DTEND;VALUE=DATE-TIME:20110518T140000
SUMMARY:Complexity Forum: Nicolai Brilliantov (Leicester)
TZID:Europe/London
UID:20110518-094d43d5385c299a01386c3bd8c67255@warwick.ac.uk
CREATED:20110502T123704Z
DESCRIPTION:Speaker: Nicolai Brilliantov Title: Kinetic Theory of Ballist
 ic Aggregation and Fragmentation: Application to Planetary Rings. Abstra
 ct: We develop a kinetic theory of ballistic aggregation and fragmentati
 on. The theory is based on two basic parameters -- the energy thresholds
 \, E_agg and E_frag\, which demarcate different types of impacts. If the
  kinetic energy of the relative motion of a colliding pair is smaller th
 an E_agg\, particles merge\, if it is larger than E_frag\, they break\, 
 otherwise particles rebound. We assume that particles are formed from mo
 nomers which cannot split any further. We consider a wide class of fragm
 entation models\, including a complete disaggregation into monomers and 
 fragmentation with a power-law distribution of debris sizes. We start fr
 om the Boltzmann equation for the mass and velocity distribution functio
 n and derive Smoluchowski-like equations for concentrations of particles
  of different mass. We analyze these equations analytically\, solve them
  numerically and perform Monte Carlo simulations. For several models we 
 obtain an analytical solution for the size distribution of the aggregate
 s. In particular we show\, that for any fragmentation model with a predo
 minance of small debris at a collision\, the resulting size distribution
  n(R) obeys a power-law n(R) \\sim R^beta with an exponential cutof. Mor
 eover\, the exponent of the power law \\beta does not depend on a partic
 ular fragmentation model. These predictions for the particle size distri
 bution\, and es- pecially for the exponent \\beta = 2:75 are in a very g
 ood agreement with the observational data for the size distribution of p
 articles in planetary rings
LOCATION:D1.07
CATEGORIES:MSc students,PhD Students,Seminar Room D1.07,forum
LAST-MODIFIED:20120709T145409Z
ORGANIZER;CN=Colm Connaughton:
END:VEVENT
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