Ho il piacere di invitarvi al seguente seminario, che si terrà
giovedì 10 dicembre, alle 11:30, in Aula 2BC30 della Torre Archimede
presso il Dipartimento di Matematica dell'Università degli Studi di Padova.
SPEAKER:
Sander Dommers
AFFILIATION:
Ruhr University Bochum
TITLE:
Metastability in the reversible inclusion process
ABSTRACT:
In the reversible inclusion process with N particles on a finite graph,
each particle at a site x jumps to site y at rate (d+n_y) r(x,y), where d
is a diffusion parameter, n_y is the number of particles on site y and
r(x,y) is the jump rate from x to y of an underlying reversible random walk.
When the diffusion d converges to 0 as N goes to infinity, the particles
cluster together to form a condensate. It turns out that these condensates
only form on the sites where the underlying random walk spends the most
time. Once such a condensate is formed the particles stick together and the
condensate performs a random walk itself on much longer timescales, which
can be seen as metastable behavior.
We study the rates at which the condensate jumps and show that in the
reversible case there are several time scales on which these jumps occur
depending on how far (in graph distance) the sites are from each other.
This generalizes work by Grosskinsky, Redig and Vafayi who study the
symmetric case where only one timescale is present. Our analysis is based
on the martingale approach by Beltrán and Landim. This is work in progress
jointly with Alessandra Bianchi and Cristian Giardinà.
--
Alessandra Bianchi
Dip. di Matematica
Università di Padova
Via Trieste, 63 - 35121 Padova, Italy
phone: +39 049 827 14 06
fax: +39 049 827 14 28
e-mail: bianchi(a)math.unipd.it
http://www.math.unipd.it/~bianchi/
Dear all,
I would like inform you about a call for a 2-year postdoc position at
BCAM - Basque Center for Applied Mathematics [1], Bilbao, Basque Country
- Spain. The topic is "Stochastic Processes for Anomalous Diffusion" and
the deadline for submission of applications the 30th of December, 2015.
Here is the link
http://www.bcamath.org/en/research/job/ic2015-winter-postdoctoral-fellowshi…
[2]
The applicant should select the research line SP-Statistical Physics.
Please, share this announcement with any colleague and applicant that
could be interested.
Questions can be sent to me gpagnini(a)bcamath.org.
Thank you very much.
Regards,
Gianni
--
Gianni Pagnini
Ikerbasque Research Fellow
BCAM - Basque Center for Applied Mathematics
Alameda de Mazarredo, 14
E-48009 Bilbao, Basque Country - Spain
Tel. +34 946 567 842
gpagnini(a)bcamath.org | www.bcamath.org/gpagnini [3]
_ _
_(__ __matematika mugaz bestalde )_
Links:
------
[1] http://www.bcamath.org/
[2]
http://www.bcamath.org/en/research/job/ic2015-winter-postdoctoral-fellowshi…
[3] http://www.bcamath.org/gpagnini