**Role of the particle size polydispersity in the electrical conductivity of carbon nanotube-epoxy composites**

Maryam Majidian, Claudio Grimaldi, László Forró, and Arnaud Magrez

Scientific Reports 7, 12553 (2017)

The size polydispersity of carbon nanotubes (CNTs) and their dispersion in the matrix are factors that strongly influence the conductivity characteristics of CNT-polymer nanocomposites. Our experiments on polydisperse CNT-SU8 materials and the theoretical modelling hint at a simple, yet comprehensive, understanding of these factors and of the role they have in the conductivity behaviour of the composite.

**Anisotropy of transport in bulk Rashba metals**

Valentina Brosco and Claudio Grimaldi

Physical Review B **95**, 195164 (2017)

We predict that in three dimensional (3D) systems hosting a giant spin-orbit Rashba coupling, the dc electrical conductivity displays a strong anisotropic renormalization due exclusively to the Rashba interaction. We show that the electron velocity components orthogonal to the Rashba field are strongly renormalized, while the component parallel to the Rashba vector remains unaffected. Measurements of the conductivity anisotropy in bulk Rashba metals may therefore give a direct experimental assessment of the spin-orbit strength.

**Signal coverage approach to the detection probability of hypothetical extraterrestrial emitters in the Milky Way**

Claudio Grimaldi

Scientific Reports 7, 46273 (2017)

The lack of evidence for the existence of extraterrestrial life, even the simplest forms of microscopic life, makes it difficult to decide whether the search for extraterrestrial intelligence (SETI) is more a highrisk, high-payoff endeavor than a futile attempt.

The main unknown factor in SETI is the likelihood of detecting electromagnetic signals from possible galactic civilizations. Here, I derive the detection probability in terms of the probability that the Earth intersects a region of space covered by hypothetical extraterrestrial signals, without referring to particular hypothesis about the existence and the number of extraterrestrial emitters. I show that a universal bound sets an upper limit for detecting signals from hypothetical extraterrestrial civilizations in the galaxy. A surprising conclusion is that even if we assume that the Earth has a probability of 50% of being within a region covered by the signals, the mean number of potentially detectable emitters is less than one.

**Recent articles**

Claudio Grimaldi

**Tree-ansatz percolation of hard spheres**

Claudio Grimaldi

Journal of Chemical Physics **147**, 074502 (2017)

Sometimes, interactions between particles make things simpler. Here, I show that the percolating network of hard spherical particles with a short connectivity range has a dendritic, tree-like structure, which allows for a closed form solution for the percolation threshold. I derive an analytic expression of the percolation threshold which becomes increasingly accurate as the connectivity range diminishes. In principle, the tree-ansatz approach could be extended to describe percolation also in systems of anisotropic hard objects like, e.g., rod and platelet particles.

**Area Coverage of Expanding E.T. Signals in the Galaxy: SETI and Drake's N**

Claudio Grimaldi, Geoffrey W. Marcy, Nathalien K. Tellis, and Frank Drake

Publications of the Astronomical Society of the Pacific 130, 054101 (2018) arXiv:1802.09399

The famous Drake equation estimates the number N of currently emitting civilizations from a product of probabilities that events, which are necessary for the development ofcommunicative life in the galaxy, occur. Here we show that Drake's N coincides with the mean number of isotropic signals crossing Earth, at any moment. Our result implies therefore that N is, at least in principle, a quantifiable quantity, whose value could be assessed probabilistically by SETI experiments.

Welcome to my site!

I am currently a guest scientist at the Laboratory of Physics of Complex Matter (LPCM), Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland.

A short CV can be found here. The list of publications is instead here or here.

**Contact:**

**Bayesian approach to SETI**

Claudio Grimaldi and Geoffrey W. Marcy

Proc. Natl. Acad. Sci. U.S.A. published ahead of print October 1st 2018 arXiv:1810.01207

Ongoing and future initiatives in the search for extraterrestrial intelligence (SETI) will explore the Galaxy on an unprecedented scale to find evidence of communicating civilizations beyond Earth. Here, we construct a Bayesian formulation of SETI to infer the posterior probability of the mean number of radio signals crossing Earth, given a positive or a null outcome of all-sky searches for nonnatural radio emissions. We show that not detecting signals within ∼40 kly from Earth is compatible with the absence in the entire Galaxy of detectable emitters of a wide range of radiated power. The discovery of even a single emission within ∼1 kly implies instead that over 100 signals typically cross our planet from the Milky Way.