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Published on: December 4, 2017
Collective dynamics in coupled maps on a lattice with quenched disorder
Achille Giacometti1, Maurice Rossi, Libero Battiston
1INFM Unitá di Venezia, Dipartimento di Chimica Fisica, Universitá di Venezia, Calle Larga Santa Marta DD 2137, I-30123 Venezia, Italy.
Summary
Spatial quenched disorder significantly alters coupled map lattice dynamics. Even minor disorder changes behaviors seen in ordered systems, impacting Ising-type and collective dynamics.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Statistical physics
Background:
- Coupled map lattices (CMLs) are used to model complex spatio-temporal phenomena.
- Disorder is a key factor influencing the behavior of physical systems.
- Understanding how disorder affects CMLs is crucial for various scientific domains.
Purpose of the Study:
- To investigate the impact of spatial quenched disorder on the dynamics of coupled map lattices.
- To analyze how disorder modifies paradigmatic nonlinear dynamics within CMLs.
- To quantify the effects of disorder on system behavior.
Main Methods:
- Introduction of spatial quenched disorder by selectively removing coupling terms between lattice sites.
- Utilizing two nonlinear maps: the Miller and Huse map (Ising-type dynamics) and the logistic coupled map (collective dynamics).
- Employing various quantitative indicators to assess the overall system dynamics.
Main Results:
- Spatial quenched disorder demonstrably alters the dynamics of coupled map lattices.
- Even small amounts of disorder can lead to significant changes compared to ordered systems.
- The effects of disorder are observed in both Ising-type and nontrivial collective dynamics.
Conclusions:
- Spatial quenched disorder is a critical parameter that can fundamentally change CML behavior.
- The presence of disorder can lead to emergent phenomena not observed in ordered lattices.
- This study highlights the sensitivity of CML dynamics to structural imperfections.
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