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Algorithm for molecular dynamics simulations of spin liquids.

I P Omelyan¹, I M Mryglod, R Folk

¹Institute for Condensed Matter Physics, Lviv, Ukraine.

Physical Review Letters

|February 15, 2001

Summary

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A novel symplectic algorithm enhances magnetic liquid simulations by conserving spin lengths and enabling larger time steps. This method reveals the dynamic interplay between liquid and magnetic properties in Heisenberg spin fluids.

Area of Science:

Computational physics
Materials science
Magnetohydrodynamics

Background:

Numerical integration of magnetic liquids requires efficient algorithms.
Standard methods face limitations with time step sizes.
Understanding spin dynamics in fluids is crucial.

Purpose of the Study:

To propose a new symplectic time-reversible algorithm.
To apply the algorithm to molecular dynamics simulations of magnetic liquids.
To evaluate its performance against standard schemes.

Main Methods:

Development of a symplectic time-reversible integration algorithm.
Molecular dynamics simulations of a Heisenberg spin fluid.
Analysis of spin length conservation and time correlation functions.

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Main Results:

The proposed algorithm exactly conserves spin lengths.
It allows for significantly larger time steps compared to predictor-corrector schemes.
Time correlation functions show clear interplay between liquid and magnetic subsystems.

Conclusions:

The new algorithm offers improved efficiency and accuracy for magnetic liquid simulations.
It provides deeper insights into the coupled dynamics of fluid and spin systems.
This method is valuable for studying complex magnetic materials.