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Testing Sensory and Multisensory Function in Children with Autism Spectrum Disorder

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Contact process with simultaneous spatial and temporal disorder.

Xuecheng Ye¹, Thomas Vojta¹

¹Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.

Physical Review. E

|November 18, 2022

Summary

This summary is machine-generated.

This study investigates the absorbing-state phase transition in a one-dimensional contact process with spatial and temporal disorders. Results reveal how these disorders affect critical behavior and Griffiths singularities during epidemic spreading.

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Area of Science:

Statistical Physics
Complex Systems
Non-equilibrium Dynamics

Background:

The contact process models phenomena like epidemic spreading and population dynamics.
Absorbing-state phase transitions are critical points where a system shifts to a absorbing state.
Understanding disorder effects is crucial for realistic modeling.

Purpose of the Study:

To analyze the absorbing-state phase transition in a 1D contact process with decoupled spatial and temporal disorders.
To investigate the stability of the directed percolation universality class under these conditions.
To examine the impact of combined disorders on Griffiths singularities.

Main Methods:

Utilized a generalized Harris criterion to assess universality class stability.
Performed large-scale Monte Carlo simulations for detailed critical behavior analysis.
Theoretically analyzed the influence of decoupled spatial and temporal random disorders.

Main Results:

The study provides insights into the stability of the directed percolation universality class.
Characterized the critical behavior under combined spatial and temporal disorders.
Quantified the modification of Griffiths singularities by simultaneous disorders.

Conclusions:

Decoupled spatial and temporal disorders significantly influence the absorbing-state phase transition.
The findings contribute to the understanding of non-equilibrium phase transitions in disordered systems.
This research offers a framework for studying complex phenomena with multiple sources of randomness.