Collective dynamics in dissipative systems with long-range interactions

Date

Aug 8, 2017

Time

2:30 PM - 3:30 PM

Speaker

Antonio Politi

Affiliation

Kings' College, Aberdeen University, UK

Language

en

Main Topic

Physik

Other Topics

Physik

Description

Collective dynamics is usually studied either in mean field models or in abstract networks, i.e. in systems without a structure in physical space. I will discuss the behavior of some one-dimensional systems in the presence of long-range coupling. In statistical mechanics, changing the rate delta of the power-law is considered as a way to tune the effective dimensionality of the system. I show that both in logistic maps and Stuart-Landau oscillators there exists a finite range of delta-values, where a new form of collective dynamics emerges, where not only the zero-mode (equivalent to the standard order parameter used in mean-field setups) remains finite in the thermodynamic limit, but a set of "hydrodynamic" modes are also self-sustained. The result is remarkable in that there is no undelrying conservation laws as in standard hydrodynamic systems.

Last modified: Aug 8, 2017, 9:53:17 AM