BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Steady oscillations in kinetic model of aggregation process with c
ollisional fragmentation
DTSTART;VALUE=DATE-TIME:20201203T171900Z
DTEND;VALUE=DATE-TIME:20201203T172000Z
DTSTAMP;VALUE=DATE-TIME:20230201T061200Z
UID:indico-contribution-372@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Nikolai Brilliantov (Skolkovo Institute of Science a
nd Technology)\, Sergey Matveev (Skolkovo Institute of Science and Technol
ogy)\, Aleksei Kalinov (Skolkovo Institute of Science and Technology)\, Pa
vel Krapivsky (Boston University)\n\nIn this work\, we study a kinetic mod
el of aggregation process with collisional fragmentation with use of two e
fficient implementations of numerical methods: direct simulation Monte Car
lo and finite-difference scheme exploiting the low-rank matrix representat
ions of the utilized kinetic coefficients. We concentrate our efforts on t
he analysis of the solutions for a particular class of non-local aggregati
on kernels \n$$\nK_{i\,j} = i^a j^{-a} + i^{-a} j^{a}\,\n$$\nwith multipli
cative expression for the fragmentation rates $F_{i\,j} = \\lambda K_{i\,j
}$ with $0 < \\lambda \\ll 1$. For $a > 0.5$ and $\\lambda < \\lambda_{c}$
never-ending collective oscillations of the aggregates' concentrations ta
ke place[1].\n\nThe main contribution of this work is cross-validation of
our previous observations with the utilization of the well-known stochasti
c acceptance-rejection method [2] and its modification to an accounting of
the fragmentation events.\n\n[1] Brilliantov N. V.\, Otieno W.\, Matveev
S. A.\, Smirnov A. P.\, Tyrtyshnikov E. E.\, Krapivsky P. L. (2018) // Ste
ady oscillations in aggregation-fragmentation processes. Physical Review E
\, 98(1)\, 012109.\n[2] Garcia A. L.\, Van Den Broeck C.\, Aertsens M.\, S
erneels R. (1987) // A Monte Carlo simulation of coagulation. Physica A: S
tatistical Mechanics and its Applications\, 143(3)\, 535-546.\n\nhttps://z
akopane.if.uj.edu.pl/event/16/contributions/372/
RELATED-TO:indico-event-16@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/16/contributions/372/
END:VEVENT
END:VCALENDAR