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Kink localization under asymmetric double-well potentials.

Emilio N M Cirillo¹, Nicoletta Ianiro, Giulio Sciarra

¹Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Sapienza Università di Roma, via A. Scarpa 16, I-00161 Roma, Italy. emilio.cirillo@uniroma1.it

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

|December 11, 2012

Summary

This summary is machine-generated.

The position of diffuse phase interfaces in asymmetric potentials is not symmetric and depends on the potential

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Area of Science:

Materials Science
Chemical Physics
Thermodynamics

Background:

Diffuse phase interfaces are crucial in various physical phenomena.
Asymmetric double-well potentials with degenerate minima present complex interface behaviors.

Purpose of the Study:

To analyze the characteristics of diffuse phase interfaces under asymmetric potentials.
To determine the factors governing the symmetry and position of these interfaces.

Main Methods:

Mathematical modeling of diffuse interfaces.
Analysis of potential energy landscapes with degenerate minima.
Asymptotic analysis for small interface energy costs.

Main Results:

The limiting sharp interface profile is generally asymmetric.
Interface position is determined solely by the second derivatives of the potential at the minima.
Demonstrated application to solid-fluid segregation in porous media.

Conclusions:

Interface asymmetry is a key feature under specific potential conditions.
Potential energy landscape dictates interface location, not just interface energy.
The findings offer insights into phase segregation in materials and porous media.