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Long-lived localized field configurations in small lattices: application to oscillons
1Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA.
Summary
A new adiabatic damping method efficiently studies long-lived localized field configurations like oscillons in nonlinear models. This numerical technique significantly reduces computation time for complex systems.
Area of Science:
- Nonlinear dynamics
- Computational physics
- Field theory
Background:
- Localized field configurations (e.g., breathers, oscillons) are common in nonlinear models across various dimensions.
- Studying these long-lived objects numerically is computationally intensive with traditional methods.
Purpose of the Study:
- Introduce a novel numerical method, the adiabatic damping method, for analyzing long-lived localized field configurations.
- Demonstrate the efficiency and accuracy of this method for studying configurations in small lattices.
Main Methods:
- Developed the adiabatic damping method for numerical simulations.
- Applied the method to three-dimensional oscillons in phi(4) models.
- Validated results against static and dynamically expanding lattice methods.
Main Results:
- The adiabatic damping method accurately reproduces results (to 10^-5 precision) compared to existing methods.
- Significant reduction in computation time was achieved.
- Successfully studied long-lived two-dimensional oscillons, previously intractable.
Conclusions:
- The adiabatic damping method offers a computationally efficient and accurate approach for studying localized field configurations.
- This method enables the investigation of phenomena with extremely long lifetimes that were previously inaccessible.
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