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Dynamics of fluctuation-dominated phase ordering: hard-core passive sliders on a fluctuating surface
Sakuntala Chatterjee1, Mustansir Barma
1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
Summary
Hard-core particles on a fluctuating interface exhibit clustering due to surface dynamics. Despite strong fluctuations, numerical simulations reveal long-range order and system meandering between ordered states.
Area of Science:
- Statistical Physics
- Complex Systems
- Nonlinear Dynamics
Background:
- Studying particle dynamics on fluctuating interfaces is crucial for understanding complex systems.
- Hard-core interactions prevent collapse, leading to unique clustering phenomena.
Purpose of the Study:
- Investigate the dynamics of hard-core particles on a 1D fluctuating interface.
- Analyze clustering, autocorrelation, and space-time correlations in steady state and aging regimes.
Main Methods:
- Numerical simulations to measure autocorrelation and space-time correlation functions.
- Analytical calculations in a related surface model.
- Measurement of the distribution function of the largest cluster length.
Main Results:
- Steady-state autocorrelation exhibits scaling with system size and dynamic exponent, showing a cusp and indicating long-range order.
- Space-time correlations are non-monotonic with time.
- Aging autocorrelation scales with waiting time and time difference, showing power-law decay for large time differences.
Conclusions:
- The system maintains long-range order despite strong fluctuations.
- Fluctuations drive the system to meander between ordered configurations rather than destroy ordering.
- The hard-core interaction is key to preventing collapse and enabling ordered states.
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