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Modified and generalized single-element Maxwell viscoelastic model.

J S Hansen1

  • 1"Glass and Time," IMFUFA, Department of Science and Environment, <a href="https://ror.org/014axpa37">Roskilde University</a>, DK-4000 Roskilde, Denmark.

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Summary
This summary is machine-generated.

This study presents a generalized Maxwell model with a correction function to accurately predict fluid dynamics. The improved model reduces viscous response and avoids frequency locking, validated by molecular simulations.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • The single-element Maxwell model is a fundamental tool for describing viscoelastic behavior.
  • The original model exhibits limitations such as attenuation-frequency locking.
  • Accurate modeling of transverse dynamics in liquids is crucial for understanding material properties.

Purpose of the Study:

  • To generalize the single-element Maxwell model by incorporating wave vector dependence.
  • To introduce a correction function for reduced viscous response.
  • To develop a more accurate and versatile model for predicting liquid dynamics.

Main Methods:

  • Generalization of the single-element Maxwell model.
  • Inclusion of a correction function for viscous response.
  • Validation through molecular dynamics simulations.

Main Results:

  • The generalized model successfully predicts transverse dynamics in binary Lennard-Jones systems, water, and toluene.
  • The model incorporates only two free parameters, simplifying its application.
  • The correction function reveals a significantly reduced viscous response compared to the original model.
  • A characteristic length scale associated with minimum dissipation was identified.

Conclusions:

  • The generalized Maxwell model with a correction function offers a robust and accurate approach to describing liquid transverse dynamics.
  • This enhanced model overcomes limitations of the original Maxwell model, providing better predictive power.
  • The findings highlight the importance of considering wave vector dependence and viscous response reduction for accurate material modeling.