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Global persistence exponent of the double-exchange model.
H A Fernandes1, J R Drugowich de Felício
1Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Brazil. henrique@pg.ffclrp.usp.br
Summary
We calculated the global persistence exponent for a continuous spin model using two methods. Results from both approaches, analyzing order parameter sign changes and scaling collapse, showed strong agreement.
Area of Science:
- Condensed matter physics
- Statistical mechanics
Background:
- Continuous spin models exhibit complex dynamic behaviors.
- The double-exchange interaction is crucial in understanding magnetism in certain materials.
- Persistence exponents characterize the long-term behavior of systems after perturbations.
Purpose of the Study:
- To determine the global persistence exponent for a continuous spin model.
- To investigate the role of double-exchange interaction on system dynamics.
- To validate findings using two distinct computational methods.
Main Methods:
- Estimation of the global persistence exponent (θ(g)) via the time evolution of the order parameter's sign probability P(t).
- Calculation of θ(g) through the scaling collapse of the universal function L(θ(g)(z)P(t)) across various lattice sizes.
- Utilizing a simple cubic lattice model with double-exchange interaction.
Main Results:
- The global persistence exponent was successfully obtained using both time evolution and scaling collapse methods.
- Both methods yielded results that were in very good agreement.
- The calculated exponent characterizes the persistence of the order parameter's sign.
Conclusions:
- The global persistence exponent for this model is robust and accurately determined.
- The employed methods are reliable for calculating persistence exponents in similar systems.
- This study provides valuable insights into the dynamic critical phenomena of continuous spin models.