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Emergence in kinetic roughening with long-range temporal correlations
1China University of Mining and Technology, School of Materials Science and Physics, Xuzhou 221116, China.
Long-range temporal correlations significantly impact kinetic roughening, leading to emergent complex surface properties in growth models. These nonlocal interactions create nontrivial scaling and morphologies above a critical correlation threshold.
Area of Science:
- Surface science
- Statistical physics
- Complex systems
Background:
- Kinetic roughening describes surface evolution during material growth.
- Long-range temporal correlations introduce nonlocal interactions, affecting system dynamics.
- Emergence of global properties from local interactions is a key concept in complex systems.
Purpose of the Study:
- To investigate the role of long-range temporal correlations in kinetic roughening.
- To determine if emergence occurs in discrete growth models with these correlations.
- To identify the critical threshold for observing emergence.
Main Methods:
- Numerical simulations of random deposition and ballistic deposition models.
- Incorporation of long-range temporal correlations into growth dynamics.
- Quantitative analysis using Hellinger distance and novelty detection.
Main Results:
- Emergence behavior was observed in the studied growth models.
- A critical threshold for the temporal correlation exponent was identified.
- The presence of long-range temporal correlations leads to nontrivial scaling properties and surface morphologies.
Conclusions:
- Long-range temporal correlations are crucial for emergent phenomena in kinetic roughening.
- The findings highlight the interplay between nonlocal interactions and system complexity.
- This study provides quantitative evidence for emergence in discrete growth processes.
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