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Intrinsic viscosity and the electrical polarizability of arbitrarily shaped objects
M L Mansfield1, J F Douglas, E J Garboczi
1Department of Chemistry and Chemical Biology, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
A new path integration method accurately calculates electric polarizability and electrostatic capacity for complex shapes. This computational approach is fast, versatile, and applicable to materials science and polymer physics.
Area of Science:
- Computational physics and materials science.
- Development of novel computational methods for physical property prediction.
Background:
- Calculating electric polarizability (alpha(e)) and electrostatic capacity (C) for arbitrary shapes is challenging.
- These properties are crucial for understanding materials science applications like conductivity and viscosity.
Purpose of the Study:
- To reformulate the calculation of electric polarizability and electrostatic capacity using path integration.
- To implement and validate a computationally efficient method for arbitrary shapes.
Main Methods:
- A path integration approach was developed and computationally implemented.
- The method was validated against exact results for spheres, disks, tori, and other shapes.
- Computational efficiency was demonstrated on a PC, requiring approximately 1 minute for 10^6 trajectories.
Main Results:
- The method accurately calculates electrostatic capacity (C) and electric polarizability (alpha(e)) with high precision (4 and 3 significant figures, respectively).
- The approach is versatile, allowing easy switching between different object shapes.
- Applications to polymers and dendrimers revealed universal distribution functions and insights into molecular size and shape.
Conclusions:
- Path integration offers a fast, accurate, and versatile method for calculating electrostatic and polarizability properties.
- The method provides valuable information for materials science and polymer physics, including transport properties.
- This technique advances the computational study of molecular and material properties.