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Updated: Nov 25, 2025
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Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
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Emergence of disconnected clusters in heterogeneous complex systems.
István A Kovács1,2, Róbert Juhász3
1Department of Physics and Astronomy, Northwestern University, Evanston, 60208, USA. istvan.kovacs@northwestern.edu.
Scientific Reports
|December 15, 2020
Summary
Highly correlated sites in complex systems can be disconnected, challenging traditional percolation theory. This study reveals that functional similarity can decouple from physical connectivity in critical dynamics.
Area of Science:
- Statistical physics
- Complex systems science
- Network theory
Background:
- Percolation theory traditionally models correlated regions as densely connected clusters.
- This model may not accurately represent systems at criticality or large scales.
- Understanding spatial organization of correlations is crucial for complex systems.
Purpose of the Study:
- To investigate the spatial organization of dynamical correlations in complex systems.
- To challenge the conventional view of correlated regions as exclusively densely connected.
- To explore the relationship between functional similarity and physical connectivity at criticality.
Main Methods:
- Numerical simulations of the disordered contact process (DCP) in various dimensions.
- Application of the asymptotically exact Self-Dual Renormalization Group (SDRG) technique.
- Analysis of systems including heterogeneous media and lattices with long-ranged interactions.
Main Results:
- Demonstration that highly correlated sites can be inherently disconnected at criticality.
- Identification of a counter-intuitive decoupling of functional similarity from physical connectivity.
- Observation that critical dynamics are governed by a single, highly correlated, yet spatially disconnected cluster.
Conclusions:
- The conventional percolation picture is insufficient for describing correlated sites at criticality.
- Dynamical correlations can exhibit spatial disconnection, impacting system organization.
- Findings extend to the disordered quantum Ising model, showing spatially disconnected magnetic domains.
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