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V-T theory for the self-intermediate scattering function in a monatomic liquid.

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Vibrational-Translational (V-T) theory accurately models liquid dynamics, incorporating vibrational and transit motions. Applying mean square displacement (MSD) calibration to the self-intermediate scattering function (SISF) reveals distinct time intervals for accurate predictions.

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Area of Science:

  • Condensed matter physics
  • Theoretical physics
  • Chemical physics

Background:

  • Vibrational-Translational (V-T) theory models atomic motion in liquids as harmonic vibrations within potential energy valleys and rapid transits between them.
  • Initial V-T theory application accurately described self-intermediate scattering function (SISF) molecular dynamics (MD) data across all wave numbers (q) and times (t).
  • Recent analysis of mean square displacement (MSD) revealed crossover behavior not previously observed in SISF studies.

Purpose of the Study:

  • To apply a more accurate MSD-calibrated V-T theory to the SISF.
  • To assess the performance of the calibrated V-T theory in describing liquid dynamics.
  • To derive and discuss the theoretical equations for vibrational and transit contributions to the SISF.

Main Methods:

  • Derivation and discussion of theoretical equations for vibrational and transit contributions to the SISF within the V-T framework.
  • Division of time evolution into three distinct intervals: vibrational, crossover, and diffusive.
  • Calibration of V-T theory using insights from MSD analysis.

Main Results:

  • The calibrated V-T theory accurately accounts for MD data across all wave numbers (q) and time (t) with extremely small theoretical error.
  • The time evolution of the SISF is accurately described by three successive intervals: vibrational, crossover, and diffusive.
  • Vibrational contribution dominates early times, followed by a crossover period where transit contributions become significant, and finally, transit contribution dominates at later times.

Conclusions:

  • The MSD-calibrated V-T theory provides a highly accurate description of the SISF in liquids.
  • The theory successfully resolves the crossover behavior observed in MSD analysis.
  • V-T theory offers a robust framework for understanding liquid dynamics, comparable to mode-coupling theories and recent Brownian motion studies.