iten
Ateneo
iten
Ateneo

Mathematical Physics

Description

The research activity is mainly devoted to kinetic theories and continuum mechanics, with theoretical and numerical methods, both deterministic and stochastic. The main research areas are:

  • Mathematics of materials, such as new hyperelastic materials and graphene
  • Transport phenomena based on the Boltzmann equation
  • Transport of charges and phonons in graphene
  • Monte Carlo Method
  • Stochastic and deterministic simulations for transport problems

The teaching activity concerns the Rational Mechanics course for the Bachelor’s Degrees in Mechanical Engineering and Computer and Automation Engineering, and Doctorate courses on relevant topics of Mathematical Physics and Applied Mathematics. Since the 2022/2023 Academic Year we have also been responsible for supervising internships and degree thesis; some examples are given below:

  • Analysis and numerical simulation of the main modes of vibration of lattice structures.
  • Study of deformation waves in fibre-reinforced hyperelastic materials.
  • Elastodynamic study of fibre-reinforced materials of engineering interest.
  • Study and simulation of gyroscopic systems.
  • The jump effect of a general eccentric cylinder rolling on an inclined plane.
  • Study of the deformations of a hyperelastic isotropic material with different deformation energy density models.
  • Study of a swinging and resonant spring.
  • Hamiltonian approach to the study of dynamical systems of engineering interest.
  • Holonomy in a sphere rolling on a plane, analytical research and numerical simulations of the most appropriate paths to obtain a given orientation of the axes, with application to spherical robots.
  • Analytical study and numerical simulations of the Dzhanibekov effect.

Keywords: Mathematics of Materials, Boltzmann Equation, Graphene, Monte Carlo Methods

Publications
  • Coco Marco. “Planar phonon anisotropy, and a way to detect local equilibrium temperature in graphene”, Applications in Engineering Science, Volume 15, 2023, 100135, https://doi.org/10.1016/j.apples.2023.100135.
  • Coco Marco, Saccomandi Giuseppe, “On the Kelvin–Voigt model in anisotropic viscoelasticity”, Mathematics and Mechanics of Solids. 2023, 28(12):2581-2595, doi:10.1177/10812865231170200.
  • Coco Marco, Saccomandi Giuseppe, “Superposing plane strain on anti-plane shear deformations in a special class of fiber-reinforced incompressible hyperelastic materials”, International Journal of Solids and Structures, Volume 256, 2022, 111994, https://doi.org/10.1016/j.ijsolstr.2022.111994.
  • Coco Marco, Bordone Paolo, Demeio Lucio, Romano Vittorio, “Pauli principle and the Monte Carlo method for charge transport in graphene”, Physical Review B, 104 (20), 205410, 2021, https://link.aps.org/doi/10.1103/PhysRevB.104.205410.
  • Coco Marco, Romano Vittorio (May 25, 2018). “Simulation of Electron–Phonon Coupling and Heating Dynamics in Suspended Monolayer Graphene Including All the Phonon Branches.” ASME Journal of Heat Transfer, 140(9): 092404, 2018, https://doi.org/10.1115/1.4040082.
Staff

Coco Marco, PhD
Tel. +39 071 2204785
E-mail: m.coco@univpm.it