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Pattern Generation for Micropattern Traction Microscopy

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Published on: February 17, 2022

Scaling behavior of the disordered contact process.

S V Fallert¹, S N Taraskin

¹Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, United Kingdom. sf287@cam.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 13, 2009

Summary

This study investigates the one-dimensional contact process with quenched disorder. Activated scaling describes intermediate to strong disorder, with critical exponents showing disorder dependence.

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Area of Science:

Statistical physics
Complex systems

Background:

The one-dimensional contact process is a fundamental model in statistical physics.
Understanding the impact of quenched disorder on dynamical scaling and critical exponents is crucial.

Purpose of the Study:

To investigate the nature of dynamical scaling (conventional vs. activated) in the one-dimensional contact process with quenched disorder.
To determine the universality of critical exponents under varying degrees of disorder.

Main Methods:

Quasistationary Monte Carlo simulation was employed.
Scaling analysis of lifetime distributions and quasistationary infection density was performed.

Main Results:

Activated scaling was identified as the appropriate description for intermediate to strong disorder.
Critical exponents demonstrated disorder dependence, aligning with strong-disorder renormalization-group predictions.

Conclusions:

Activated scaling characterizes the process in the presence of significant quenched disorder.
While exponents show disorder dependence, definitive conclusions on their nature require further investigation beyond numerical simulations.