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BEGIN:VEVENT
UID:1-266@lptms.universite-paris-saclay.fr
DTSTART:20140429T110000Z
DTEND:20140429T120000Z
DTSTAMP:20140424T062543Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
s-sanjib-sabhapandit-3/
SUMMARY:Séminaire du LPTMS : Sanjib Sabhapandit - LPTMS\, salle 201\, 2èm
e étage\, Bât 100\, Campus d'Orsay - 29 Avr 14 11:00
DESCRIPTION:High-energy tail of the velocity distribution of driven inelast
ic Maxwell gases\nSanjib Sabhapandit\, Raman Research Institute\, Bangalor
e\n\n\n\nA model of homogeneously driven dissipative system\, consisting o
f a collection of $N$ particles that are characterized by only their veloc
ities\, is considered. Adopting a discrete time dynamics\, at each time st
ep\, a pair of velocities is randomly selected. They undergo inelastic col
lision with probability $p$. With probability $(1-p)$\, energy of the syst
em is changed by changing the velocities of both the particles independent
ly according to $v\\rightarrow -r_w v +\\eta$\, where $\\eta$ is a Gaussia
n noise drawn independently for each particle as well as at each time step
s. For the case $r_w=- 1$\, although the energy of the system seems to sat
urate (indicating a steady state) after time steps of $O(N)$\, it grows li
nearly with time after time steps of $O(N^2)$\, indicating the absence of
a eventual steady state. For $ -1 <\;r_w \\leq 1$\, the system reaches a
steady state\, where the average energy per particle and the correlation
of velocities are obtained exactly. In the thermodynamic limit of large $N
$\, an exact equation is obtained for the moment generating function. In t
he limit of nearly elastic collisions and weak energy injection\, the velo
city distribution is shown to be a Gaussian. Otherwise\, for $|r_w| <\;
1$\, the high-energy tail of the velocity distribution is Gaussian\, with
a different variance\, while for $r_w=+1$ the velocity distribution has an
exponential tail.\n \n\n\n
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15
Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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