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Structure functions and intermittency for coarsening systems
Pradeep Kumar Yadav1, Mahendra Kumar Verma2,3, Sanjay Puri4
1Departament de Física de la Matèria Condensada, Universitat de Barcelona, Martíi Franqués 1 , 08028 Barcelona, Spain.
Summary
This study explores energy transfers and structure functions in domain growth models like the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard (CH) equations. Results show anomalous scaling in these coarsening systems.
Area of Science:
- Statistical physics
- Complex systems
Background:
- Turbulence studies extensively use energy transfers and structure functions.
- Domain growth and coarsening are critical phenomena in various physical systems.
Purpose of the Study:
- To investigate the applicability of turbulence-derived quantities (energy transfers, structure functions) to domain growth and coarsening.
- To analyze structure functions and intermittency in the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard (CH) models.
Main Methods:
- Review of recent papers on energy transfers in domain growth.
- Analysis of structure functions and intermittency for coarsening systems.
- Modeling using the time-dependent Ginzburg-Landau (TDGL) and Cahn-Hilliard (CH) equations.
Main Results:
- Structure functions exhibit scaling of Sq∼rζq due to sharp interfaces.
- Anomalous scaling with ζq=1 was identified for both TDGL and CH models.
- Intermittency in coarsening systems was studied.
Conclusions:
- Energy transfers and structure functions provide valuable insights into domain growth and coarsening phenomena.
- The identified anomalous scaling (ζq=1) in TDGL and CH models highlights unique characteristics of these systems.
- This research contributes to understanding the frontiers of turbulence and statistical physics.
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