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Improved path integration method for estimating the intrinsic viscosity of arbitrarily shaped particles
Marc L Mansfield1, Jack F Douglas
1Department of Chemistry and Chemical Biology, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
Summary
This study refines the calculation of intrinsic viscosity (eta) for conducting objects by using the full electrical polarizability tensor (alphae), reducing uncertainty to under 1.5%. This method also quantifies particle anisotropy.
Area of Science:
- Fluid dynamics
- Electrostatics
- Materials science
Background:
- Intrinsic viscosity (eta) is often approximated using the average electrical polarizability (alphae) of conducting objects.
- This hydrodynamic-electrostatic analogy relies on accurate calculation of alphae, achievable via numerical path integration for complex shapes.
Purpose of the Study:
- To reduce uncertainty in intrinsic viscosity estimations by utilizing the complete electrical polarizability tensor, not just its average.
- To establish an exact relationship between intrinsic viscosity and intrinsic conductivity for triaxial ellipsoids.
- To develop improved methods for analyzing flexible particles and avoiding systematic errors in conformational averaging.
Main Methods:
- Utilizing the full electrical polarizability tensor (alphae) instead of its average to improve intrinsic viscosity ([eta]) calculations.
- Determining the precise proportionality constant between [eta] and intrinsic conductivity ([sigma]) for triaxial ellipsoids based on alphae eigenvalue ratios.
- Applying this refined analogy to particles of arbitrary shape and developing an improved conformational averaging technique for flexible particles.
Main Results:
- Achieved a relative uncertainty of less than 1.5% in intrinsic viscosity ([eta]) estimations by incorporating full tensor alphae information.
- Established a method to quantify particle anisotropy using the ratios of alphae components.
- Identified and proposed a solution to systematic errors in conformational averaging for flexible particles by averaging at an earlier computational stage.
Conclusions:
- The full electrical polarizability tensor (alphae) provides a more accurate determination of intrinsic viscosity ([eta]) than its average.
- The ratios of alphae components offer valuable insights into particle shape anisotropy.
- Optimized computational strategies for flexible particles enhance the reliability of viscosity and anisotropy measurements.
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