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Publikováno v:
In Vacuum November 2024 229
Akademický článek
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Autor:
Bonetto, F., Mastropietro, V.
We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid behavior in the
Externí odkaz:
http://arxiv.org/abs/1406.3580
We consider a system of N point particles moving on a d-dimensional torus. Each particle is subject to a uniform field E and random speed conserving collisions. This model is a variant of the Drude-Lorentz model of electrical conduction. In order to
Externí odkaz:
http://arxiv.org/abs/1305.7282
Publikováno v:
J. Math. Phys. 48, 072701 (2007)
We consider perturbations of the Hamiltonian flow associated with the geodesic flow on a surface of constant negative curvature. We prove that, under a small perturbation, not necessarely of Hamiltonian character, the SRB measure associated to the fl
Externí odkaz:
http://arxiv.org/abs/nlin/0607004
Publikováno v:
Ergodic Theory and Dynamical Systems, 28, 21--47, 2008
A simple class of chaotic systems in a random environment is considered and the fluctuation theorem is extended under the assumption of reversibility.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/nlin/0605001
Publikováno v:
J.Stat.Mech. (2006) P05009
In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of granular materia
Externí odkaz:
http://arxiv.org/abs/cond-mat/0601683
Publikováno v:
J. Stat. Phys. 123, 39 (2006)
The chaotic hypothesis has several implications which have generated interest in the literature because of their generality and because a few exact predictions are among them. However its application to Physics problems requires attention and can lea
Externí odkaz:
http://arxiv.org/abs/cond-mat/0507672
Publikováno v:
J.Stat.Mech. (2005) P09013
We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that if the ent
Externí odkaz:
http://arxiv.org/abs/cond-mat/0504750
Autor:
Bonetto, F., Matzinger, H.
We investigate the asymptotic standard deviation of the Longest Common Subsequence (LCS) of two independent i.i.d. sequences of length n. The first sequence is drawn from a three letter alphabet {0,1,a}, whilst the second sequence is binary. The main
Externí odkaz:
http://arxiv.org/abs/math/0410404