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Anomalous behavior of the contact process with aging
1Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal. sdorogov@fc.up.pt
Summary
Power-law aging affects contact processes, leading to non-monotonous relaxation towards a stationary state. For specific aging exponents, the system exhibits diverse behaviors, including directed percolation universality classes.
Area of Science:
- Statistical Physics
- Complex Systems
- Epidemiology Modeling
Background:
- Contact processes are fundamental models in statistical physics.
- Aging phenomena, where system properties change over time, are crucial in real-world systems like viral infections (e.g., HIV).
- Understanding the impact of aging on dynamical processes is essential for accurate modeling.
Purpose of the Study:
- To investigate the influence of power-law aging on a contact process.
- To analyze the system's approach to its stationary state under aging conditions.
- To determine the universality class of the absorbing-state phase transition in the presence of aging.
Main Methods:
- Numerical simulations of the contact process with power-law aging.
- Application of a mean-field theoretical approach.
- Analysis of relaxation dynamics and phase transition behavior.
Main Results:
- The system's approach to the stationary state can be non-monotonous.
- For aging exponent alpha=1, relaxation can follow 1/ln t or a power law with a nonuniversal exponent.
- For 0
Conclusions:
- Power-law aging introduces complex dynamics to contact processes.
- The relaxation and phase transition behavior are highly dependent on the aging exponent.
- The findings provide insights into systems with evolving properties, such as viral evolution.