Unfolding the dynamics of creativity, novelties and innovation
big progresses in the last years, the problem of cosmological structure formation via gravitational interaction from uniform and homogeneous initial conditions is still open. More in general the statistical physics and the dynamical evolution of particle distributions characterized by long range mutual interactions is a largely unsolved problem which is attracting more and more interest in the community. In this context we think to contribute by refining our interdisciplinary approach based on methods of modern statistical physics. In particular we want to tackle the problems of the large time evolution and existence or not of a sort of thermodynamical equilibrium of such dynamical systems. With this aim we want to study the dynamical evolution of two different systems: (i) statistically translationally invariant infinite particle systems, (ii) closed spherical particle distributions. In the first case we want to proceed to the study of dimensionally reduced cases which, though strongly simplified, are able to capture important dynamical features of the original three-dimensional case. Moreover we aim to proceed to a complete classification of the long range attractive interactions with respect to the general statistical properties of the large time evolution of an arbitrarily correlated particle distribution interacting via this force. In the second case our interest focus on the so called spherical collapse model and aims to the understanding of the virialization process under the mutual gravitational interaction. In particular one would like to reach a characterization of these virialized states as quasi-equilibrium thermodynamical states similarly to other toy models characterized by long range interactions as the celebrated Hamiltonian Mean-Field (HMF) model.
This section is edited by Massimo Cencini.
Turbulence and Transport
( 5 Articles )
Statistical and dynamical properties of transported substances in turbulent flows
( 1 Article )
Granular Gases to explore Non-Equilibrium Statistical Mechanics.
( 2 Articles )
Dynamical systems and its connection with statistical mechanics
Statistical Gravitation and Cosmology
( 5 Articles )
Application of statistical physics to gravitation and cosmology.
( 4 Articles )
Research on stochastic processes