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3D Analysis of Multi-cellular Responses to Chemoattractant Gradients

3D Analysis of Multi-cellular Responses to Chemoattractant Gradients

Published on: May 24, 2019

Changing growth conditions during surface growth.

Yen-Liang Chou¹, Michel Pleimling, R K P Zia

¹Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, USA.

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

|April 7, 2010

Summary

Surface growth dynamics change significantly after sudden parameter shifts. This study reveals distinct relaxation behaviors, including power-law relaxation, offering rare insights into nonequilibrium processes.

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Area of Science:

Condensed Matter Physics
Materials Science
Statistical Mechanics

Background:

Growing surfaces exhibit temperature-dependent dynamic scaling.
Nonequilibrium processes are sensitive to changes in system parameters.

Purpose of the Study:

Investigate theoretically the response of nonequilibrium surface growth to sudden parameter changes.
Analyze quenches between correlated regimes using the Edwards-Wilkinson equation.

Main Methods:

Exact expressions derived from the stochastic Edwards-Wilkinson equation.
Analysis of a variable diffusion constant to model parameter changes.

Main Results:

Sudden changes in diffusion constant dramatically alter surface roughness.
Identification of distinct dynamic regimes with power-law or exponential relaxation.
Construction of a dynamic phase diagram for surface growth.

Conclusions:

Nonequilibrium growth processes exhibit unique responses to parameter quenches.
Power-law relaxation is a notable outcome of quenches between correlated regimes in these systems.