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Condensed Matter > Soft Condensed Matter

Title: Long-wavelength fluctuations and dimensionality crossover in confined liquids

Abstract: The phase behavior of liquids confined in a slit geometry does not reveal a crossover from a three to a two-dimensional behavior as the gap size decreases. Indeed, the prototypical two-dimensional hexatic phase only occurs in liquids confined to a monolayer. Here, we demonstrate that the dimensionality crossover is apparent in the lateral size dependence of the relaxation dynamics of confined liquids, developing a Debye model for the density of vibrational states of confined systems and performing extensive numerical simulations. In confined systems, Mermin-Wagner fluctuations enhance the amplitude of vibrational motion or Debye-Waller factor by a quantity scaling as the inverse gap width and proportional to the logarithm of the aspect ratio, as a clear signature of a two-dimensional behaviour. As the temperature or lateral system size increases, the crossover to a size-independent relaxation dynamics occurs when structural relaxation takes place before the vibrational modes with the longest wavelength develop.
Comments: Physical Review Research - to appear
Subjects: Soft Condensed Matter (cond-mat.soft); Materials Science (cond-mat.mtrl-sci); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:2107.12225 [cond-mat.soft]
  (or arXiv:2107.12225v1 [cond-mat.soft] for this version)

Submission history

From: Massimo Pica Ciamarra [view email]
[v1] Mon, 26 Jul 2021 14:11:11 GMT (4175kb)

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