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Frequency-dependent viscosity near the critical point: the scale to two-loop order
1Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India.
Summary
Accurate measurements of the viscoelastic effect near xenon's critical point showed a scale factor discrepancy. Including two-loop contributions in theoretical calculations resolves this difference, improving critical phenomena understanding.
Area of Science:
- Physics
- Physical Chemistry
Background:
- Experimental measurements of the viscoelastic effect near the critical point of xenon reveal a discrepancy with theoretical predictions.
- The scale factor in frequency scaling is approximately twice the theoretically obtained value.
Purpose of the Study:
- To investigate the discrepancy between experimental and theoretical scale factors for the viscoelastic effect near the critical point of xenon.
- To refine theoretical models by incorporating higher-order contributions.
Main Methods:
- Analysis of experimental data from Berg, Moldover, and Zimmerli.
- Theoretical calculations using perturbation theory, including first-order and two-loop contributions.
Main Results:
- First-order perturbation theory results in a scale factor approximately twice the experimental value.
- Incorporating two-loop contributions significantly reduces the discrepancy between theoretical and experimental scale factors.
Conclusions:
- The discrepancy in the scale factor is attributed to the limitations of first-order perturbation theory.
- Two-loop contributions are crucial for accurately describing the viscoelastic effect near the critical point of xenon.