w Alberto Petri

Mechanics of Earthquake Faulting

International School of Physics "Enrico Fermi" Summer Course 2-7 July 2018

Physics of shallow, intermediate and deep earthquakes - Fundamental of rocks mechanics -
Laboratory experiments - Inferences from real data - Application to earthquake engineering


with contributions from
K. Aitaro, R. Archuleta , A. Bizzarri, M. Bouchon, Y.-T. Chen, S. Das, W. S. Ellsworth, R. Mandariga, C. Marone, F. Mulargia, A. Petri ,A. Schnubnel
A. Bizzarri, S. Das and A. Petri eds. (SIF-IOS Press)

Villa Monastero


Can sand-pile models reproduce critical features of real systems?

Here it is found a strict and quantitative correspondence between the dynamics of a two-state Manna model and of a recently introduced Fiber Bundle model effectually describing the propagation of the crack front in a heterogeneous medium. The Manna model itself reveals also able to describe quantitatively the crack dynamical scaling, when supplied of the suited long range redistribution rule. On the other hand the Manna model looks hardly capable to yield the right crack front morphology.

A. Petri and G. Pontuale
Morphology and dynamics in SOC universality classes
J. Stat. Mech. (2018) 063201



Do nematic particles behave similarly when subjected to external electric/magnetic field or elastic strain?

A simple microscopic model based on the Maier-Saupe potential and the Zwanzig approximation to three state shows that thee can be similarities in a certain region of parameters, but elastomers display a much richer phase diagram

A. Petri and S.R. Salinas
Field-induced uniaxial and biaxial nematic phases in the Maier-Saupe-Zwanzig (MSZ) lattice model
Liquid Crystals, online (2017)


A. Petri, D.B. Liarte and S.R. Salinas
Uniaxial and biaxial structures in the elastic Maier-Saupe model
Phys. Rev. E 97, 012705 (2018)



How different kinds of friction affect dynamics?

Adoption of different friction laws for the slip of a mass over a surface only partially affects the main features of the motion. But a rate-and-state law may generate a very long lasting creeping, with almost constant and very low speed, followed by a sudden big slip. Can this be relevant to microtremors?

A. Bizzarri and A. Petri
Single slip dynamics
Physics of the Earth and Planetary Interiors, 261 A, 36 (2016)


Does less friction make sliding easier?

A plate shearing an interstitial granular medium and driven by an always ongoing spring feels less fricion when only few layers are present. Adding more layers results in an increase of friction, nevertheless the plate slides more often. The ease of slipping is not determined by friction alone?

M. A. Annunziata, A. Baldassarri, F. Dalton, G. Pontuale and A. Petri
Increasing 'ease of sliding' also increasesfriction:when is a lubricant effective?
J. Phys.: Condens. Matter 28, 134001 (2016)



The export of nations

Each nation exports different products in different amounts. The statistical distribution of the exported volumes can be an indicator of the wealth of a nation. How lognormal is your country?

M. A. Annunziata, A. Petri, G. Pontuale and A. Zaccaria
How log-normal is your country? An analysis of the statistical distribution of the exported volumes of products
Eur. Phys. J. Special Topics 225, 1985 (2016)
online https://arxiv.org/abs/1506.03597

Is the electoral system for the Italian Senate chaotical?

The Italian law for the election of Senate utilizes a complex mechanism of awards to improve overall government stability but, as we show, in a significant number of cases, it has the opposite effect of weakening the winning coalition.

G. Pontuale, F. Dalton, S. Genovese, E. La Nave and A. Petri
The electoral system for the Italian Senate: an analogy with deterministic chaos? An analysis via characteristic polynomials
Ann. Op. Res. 215, 245 (2014)