Report on the Research Activities Done for the Project 73209 - Mathematics of Complex Dynamical Systems, Second Part
Abstract
(1)---The search for invisible and crucial events. We have found 1 that the model of ballistic deposition can be interpreted as a diffusion process subordinated to ordinary diffusion. This suggests that there exist invisible crucial events. These events are unpredictable, thereby contributing an entropy increase, and enforcing a deterministic prescription on the events revealed by the experimental observation. On the basis of these results the PI's group is developing a theory for the systematic search of invisible and crucial events. (2)---The Physics of non-Poisson processes. The original motivation for the research work, whose results are here illustrated, is the conflict between the ordinary approaches to non-equilibrium statistically physics, based on the time evolution of a bunch of trajectories, density perspective, and the approach based on the time evolution of an individual trajectory, with erratic and unpredictable jumps, trajectory perspective.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 20, 2005
- Accession Number
- ADA434834
Entities
People
- Paolo Grigolini
Organizations
- University of North Texas