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Magnetically Induced Rotating Rayleigh-Taylor Instability

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Published on: March 3, 2017

Invasion of a sticky random solid: self-established potential gradient, phase separation, and criticality.

S B Santra¹, Santanu Sinha, Jahir Abbas Ahmed

¹Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India.

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

|March 5, 2009

Summary

This study models sticky solid invasion by aqueous solutions, revealing a self-established potential gradient that drives phase separation and critical, power-law dynamics at the percolation threshold.

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Area of Science:

Physical Chemistry
Materials Science
Chemical Engineering

Background:

Modeling the invasion of solids by solutions is crucial for understanding various natural and industrial processes.
Understanding the interface dynamics and phase separation during dissolution and redeposition is complex.
Previous models often simplify the interaction between the solid and the invading solution.

Purpose of the Study:

To model the invasion of a sticky random solid by an aqueous solution using a chemical reaction framework.
To investigate the spontaneous formation of a self-established potential gradient (SEPG) and its effect on phase separation.
To analyze the system's behavior at the percolation threshold and characterize its nonequilibrium steady state.

Main Methods:

Developing a chemical reaction model where solid elements dissolve and redeposit.
Introducing a self-established potential gradient (SEPG) to drive the invasion process.
Analyzing the system's phase separation into 'hard' and 'soft' solids and its steady-state characteristics.

Main Results:

The SEPG drives the solution into the solid at a constant velocity, leading to phase separation.
The system spontaneously reaches the percolation threshold, forming invasion percolation clusters.
A critical nonequilibrium steady state is observed, characterized by a power-law distribution of cluster sizes (exponent ≈ -2).

Conclusions:

The SEPG is a key mechanism governing the invasion dynamics and phase separation in this system.
The system's self-tuning to the percolation threshold indicates a critical phenomenon.
The observed power-law behavior suggests universal critical dynamics in this type of nonequilibrium process.