Related Experiment Videos
From ballistic to brownian vortex motion in complex oscillatory media
Jörn Davidsen1, Ronaldo Erichsen, Raymond Kapral
1Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany.
Physical Review Letters
|August 25, 2004
Summary
Synchronization defect lines break spiral wave symmetry, causing pattern drift. Vortex motion transitions from ballistic to Brownian-like as medium turbulence increases, forming a novel "vortex liquid." This impacts complex oscillatory media dynamics.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Pattern formation
Background:
- Spiral waves are prevalent patterns in oscillatory media.
- Synchronization defect lines (SDLs) can disrupt these patterns.
- Understanding pattern behavior under disruption is crucial for complex systems.
Purpose of the Study:
- To investigate the effect of SDLs on spiral wave rotation symmetry.
- To characterize the resulting pattern drift and vortex motion.
- To explore the emergence of novel states in disturbed oscillatory media.
Main Methods:
- Simulations of two-dimensional complex oscillatory media.
- Analysis of spiral wave dynamics in the presence of SDLs.
- Characterization of vortex trajectories and medium turbulence.
Main Results:
- Breaking rotation symmetry by SDLs induces intrinsic pattern drift.
- Vortex motion shifts from ballistic to Brownian-like with increasing turbulence.
- A new state, termed "vortex liquid," emerges in non-turbulent multispiral regimes.
Conclusions:
- SDLs fundamentally alter spiral wave dynamics and symmetry.
- The transition in vortex motion reflects changes in medium complexity.
- The "vortex liquid" represents a novel emergent behavior in disturbed oscillatory systems.