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Temporal disorder does not forbid discontinuous absorbing phase transitions in low-dimensional systems
1Departamento de Física e Matemática, CAP, Universidade Federal de São João del Rei, Ouro Branco, Minas Gerais, 36420-000, Brazil.
Physical Review. E
|December 15, 2016
Summary
Temporal disorder does not suppress discontinuous absorbing phase transitions in two-dimensional models. Unlike spatial disorder, temporal fluctuations maintain essential characteristics of these phase transitions, including bistability and finite-size scaling.
Area of Science:
- Statistical Mechanics
- Complex Systems
Background:
- Spatial disorder is known to suppress discontinuous absorbing phase transitions.
- The effect of temporal disorder on these transitions remains largely unexplored.
Purpose of the Study:
- Investigate the impact of temporal disorder on discontinuous absorbing phase transitions.
- Determine if temporal disorder affects the existence or characteristics of these transitions.
Main Methods:
- Studied three distinct two-dimensional models exhibiting discontinuous absorbing phase transitions.
- Introduced temporal disorder by making the control parameter time-dependent (uniform or bimodal distributions).
- Performed numerical simulations to analyze system behavior.
Main Results:
- Temporal disorder does not prevent discontinuous absorbing phase transitions.
- Observed behaviors similar to pure systems, including bistability and finite-size scaling.
- Found no evidence of temporal Griffiths phases for d=2.
Conclusions:
- Uncorrelated temporal disorder does not suppress discontinuous absorbing phase transitions in the studied 2D models.
- The findings contrast with the known effects of spatial disorder.
- Temporal disorder does not induce temporal Griffiths phases in these systems.
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