Geometrical Aspects in the Analysis of Microcanonical Phase-Transitions

Autor: Ghofrane Bel-Hadj-Aissa, Matteo Gori, Vittorio Penna, Giulio Pettini, Roberto Franzosi

Publikováno v: Entropy, Vol 22, Iss 4, p 380 (2020)

In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy lev

Externí odkaz: https://doaj.org/article/d99d5c3f3f07421981209baf4ac8ce2c

Hamiltonian chaos and differential geometry of configuration space–time

Autor: Marco Pettini, Matteo Gori, Giulio Pettini, Loris Di Cairano

Publikováno v: Physica / D 422, 132909-(2021). doi:10.1016/j.physd.2021.132909
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, 2021, 422, pp.132909. ⟨10.1016/j.physd.2021.132909⟩

This paper tackles Hamiltonian chaos by means of elementary tools of Riemannian geometry. More precisely, a Hamiltonian flow is identified with a geodesic flow on configuration space–time endowed with a suitable metric due to Eisenhart. Until now,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d94a408a9c33792aad8d09bf62ecfdb1
https://juser.fz-juelich.de/record/904541

On the origin of phase transitions in the absence of symmetry-breaking

Autor: Giulio Pettini, Marco Pettini, Cecilia Clementi, Roberto Franzosi, Matteo Gori

Publikováno v: Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 2019, 516, pp.376-392. ⟨10.1016/j.physa.2018.10.001⟩
Physica A: Statistical Mechanics and its Applications, 2019, 516, pp.376-392. ⟨10.1016/j.physa.2018.10.001⟩
Physica. A
516 (2019): 376–392. doi:10.1016/j.physa.2018.10.001
info:cnr-pdr/source/autori:Pettini, Giulio; Gori, Matteo; Franzosi, Roberto; Clementi, Cecilia; Pettini, Marco/titolo:On the origin of phase transitions in the absence of symmetry-breaking/doi:10.1016%2Fj.physa.2018.10.001/rivista:Physica. A (Print)/anno:2019/pagina_da:376/pagina_a:392/intervallo_pagine:376–392/volume:516

In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model. The system

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45a10e2d5967fd4ccbe940b013a88bd7
http://hdl.handle.net/2158/1157016

Correspondence between a shaken honeycomb lattice and the Haldane model

Autor: Giulio Pettini, Michele Modugno

We investigate the correspondence between the tight-binding Floquet Hamiltonian of a periodically modulated honeycomb lattice and the Haldane model. We show that - though the two systems share the same topological phase diagram, as reported in a brea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19860281cb7bdc147d40e5794dc3a6fc
http://arxiv.org/abs/1708.00242

Strange quark production in a statistical effective model

Autor: Francesco Becattini, Giulio Pettini

Publikováno v: Scopus-Elsevier

An effective model with constituent quarks as fundamental degrees of freedom is used to predict the relative strangeness production pattern in both high energy elementary and heavy ion collisions. The basic picture is that of the statistical hadroniz

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e3324e192b9bf19bd0cfbdf8e38fea7
http://www.openaccessrepository.it/record/15630