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Albert100: il gruppo di
Parma ha
realizzato un progetto finanziato dalla Commissione Scientifica
Nazionale del gruppo IV INFN. Si tratta di un server ad alte
prestazioni realizzato con un cluster di PC (88
processori e
un totale di 66 GByte di memoria fisica, oltre a 1.6 TBytes di memoria
di massa). Il sistema è stato inaugurato il 19 febbraio
2002 al Dipartimento di Fisica dell'Università di Parma. E'
stato gia` effettuato l'upgrade del sistema, da parte della ditta
EXADRON, con
l'introduzione di processori a 64 bit (AMD opteron) e una rete veloce
(Infiniband, 10Gbps), che permettono di raggiungere una potenza
sostenuta di circa 100 GFlops su calcoli di Relatività Numerica.
Attualmente lo sviluppo di nuovi clusters viene portato avanti in
collaborazione con l'Università di Milano-Bicocca, dove è
installato un nuovo sistema denominato Turing .
- Quantum
integrable
systems: (in collaboration with V. Fateev, Landau Institute and Université de
Montpellier II). The Mathematica code used in the paper hep-th/0203131 can be downloaded
from
here. It allows to a) find numerically the Toda vacuum solution
with boundary terms, b) check the validity of the analytic solution
(only for D_N).
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- Fermilab-Pub-03/165-T,
LPM/03-013, UPRF-2003-12: The paper contains
a perturbative expansion to high orders of the spectrum of excitations
of the model. The programs used in the paper can be found here. Notice
that the perturbative
expansion can be calculated i) symbolically with the
Mathematica
code or ii) in floating point with
the
Matlab
code . The spectrum can also be
computed, beyond perturbation theory, using the matlab code which can
be
download
here .
Lattice perturbation
theory (collaboration with G.Marchesini, F.Direnzo, G.Burgio,
L.Scorzato) This is a long standing project with some partial relevant
results in the field of pure gauge SU(3): the main achievement has been
the calculation of the perturbative expansion of the plaquette to the tenth
order in a . The program is still in
progress with applications to the problem of renormalons. See
also http://www.pr.infn.it./infn/preprints/ape100/talk.html
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Numerical Relativity: in
collaboration with
G.Veneziano and J.Maharana): the solution of Einsteins's equation for
the gravitational field coupled to a scalar (dilaton) can be attempted
by a numerical analysis. This project has already achieved some success
(see xxx.lanl.gov/abs/gr-qc/9802001
or http://www.pr.infn.it/preprints/preprints.html
). The numerical code (matlab) used in the paper can be found here .
Further
developments are under study with F. Di Renzo, R. Depietri and M.Rossi.
The idea is to study the problem in full 3-D implmenting a Cactus
thorne.
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Software: other
downloadable Matlab code (Knuth's alias method)
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I always
kept an eye on Geometric Quantization,
and now and then come back to some of its subtle problems. These are
the
most recent contributions: Landau Levels on a Torus:
quant-ph/0804.3673,
revised version published on
Int.J.Mod.Phys.C vol.18, December 2008
Software related to Landau
levels on a torus
Landau.m
Celestial
mechanics with Matlab
Teaching
numerical analysis for physicists is a good opportunity for examining
old problems under a new viewpont.
Here you can find a matlab code to make
experiments in celestial mechanics. The three-body system
Sun-Earth-Moon has a complex dynamics. Today it can be studied in
detail on the time scale of millennia through
the efficient routines of matlab (ode113,
ode45). The problem of stability of a satellite at the lagrangian point
L4, which has been solved in the restricted
case (namely by ignoring sun's attraction) can be
easily investigated. The numerical evidence is that the satellite would
be unstable, running away on a solar orbit in less than two years.
(see Comp. in Science and Engineering,
november issue 2001)
Source code
can be downloaded from in Celestial
mechanics with matlab (in tar.gz format, 0.7MB)
(warning: requires matlabr11 (v.5.3)
or higher 6.0, 6.1) or, if you prefer, you can browse the
directory and download
single files.
Academic position