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Lifespan method as a tool to study criticality in absorbing-state phase transitions
Angélica S Mata1,2, Marian Boguñá3, Claudio Castellano4,5
1Departamento de Física, Universidade Federal de Viçosa, 36571-000 Viçosa, Minais Gerais, Brazil.
Summary
The lifespan method accurately measures critical properties of absorbing-state phase transitions. This numerical technique is validated for lattice systems, offering a reliable alternative to existing methods.
Area of Science:
- Statistical Physics
- Complex Systems
- Network Science
Background:
- Absorbing-state phase transitions are crucial in various physical phenomena.
- Numerical methods are essential for studying these transitions in complex systems.
- The lifespan method was recently introduced for epidemic processes on networks.
Purpose of the Study:
- To analyze the viability of the lifespan method for generic absorbing-state phase transitions in lattices.
- To develop a finite-size scaling theory for critical point and exponent determination.
- To validate the lifespan method against established techniques.
Main Methods:
- Finite-size scaling theory application.
- Numerical simulations of the contact process on a one-dimensional lattice.
- Comparison with the quasistationary simulation method.
Main Results:
- The lifespan method successfully determines critical properties in lattice systems.
- Results from the lifespan method are compatible with quasistationary simulations.
- Findings align with known analytical results for the contact process.
Conclusions:
- The lifespan method is a valid and reliable tool for studying absorbing phase transitions.
- This method extends its applicability from complex networks to regular lattices.
- It offers a robust approach for critical property analysis in statistical physics.
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