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Aging and fluctuation-dissipation ratio in a nonequilibrium q-state lattice model
M O Hase1, T Tomé, M J de Oliveira
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, Brazil.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
This study introduces a generalized Glauber model with q states, revealing consistent fluctuation-dissipation theorem behavior in stationary states and aging dynamics in transient states for nonequilibrium systems.
Area of Science:
- Statistical Mechanics
- Complex Systems
Background:
- The linear Glauber model is a fundamental tool for studying nonequilibrium systems.
- Understanding the behavior of systems with multiple states is crucial for complex system analysis.
Purpose of the Study:
- To introduce and analyze a generalized nonequilibrium linear Glauber model with q states in d dimensions.
- To investigate the model's symmetry properties and its implications for system dynamics.
Main Methods:
- Exact derivation of two-time autocorrelation and response functions.
- Analysis of the model on a d-dimensional lattice.
- Investigation of stationary and transient regimes.
Main Results:
- The generalized model exhibits full symmetry, invariant under state permutations.
- Exact expressions for autocorrelation and response functions were obtained.
- The fluctuation-dissipation theorem holds in the stationary regime.
- Aging phenomena were observed in the transient regime, with a specific fluctuation-dissipation ratio.
Conclusions:
- The generalized Glauber model provides a framework for studying complex nonequilibrium systems.
- The model's behavior aligns with theoretical predictions for fluctuation-dissipation theorems and aging in related systems.
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