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Title: Long-wavelength fluctuations and dimensionality crossover in confined liquids
Authors: Yang, Jing
Li, Yan-Wei
Ciamarra, Massimo Pica
Keywords: Science::Physics
Issue Date: 2021
Source: Yang, J., Li, Y. & Ciamarra, M. P. (2021). Long-wavelength fluctuations and dimensionality crossover in confined liquids. Physical Review Research, 3(3), 033172-.
Project: RG 86/19(S)
Journal: Physical Review Research
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 the 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 behavior. 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.
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.3.033172
Schools: School of Physical and Mathematical Sciences 
Rights: © 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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