Long-wavelength fluctuations and dimensionality crossover in confined liquids

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 dimensiona...

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Main Authors: Yang, Jing, Li, Yan-Wei, Ciamarra, Massimo Pica
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/159297
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1592972023-02-28T20:05:28Z Long-wavelength fluctuations and dimensionality crossover in confined liquids Yang, Jing Li, Yan-Wei Ciamarra, Massimo Pica School of Physical and Mathematical Sciences Science::Physics Confined Liquids Phonons 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. Ministry of Education (MOE) Published version We acknowledge support from the Singapore Ministry of Education through the Academic Research Fund Tier 1 RG 86/19(S), Singapore, and the National Supercomputing Centre Singapore (NSCC) for the computational resources. 2022-06-10T08:25:02Z 2022-06-10T08:25:02Z 2021 Journal Article Yang, J., Li, Y. & Ciamarra, M. P. (2021). Long-wavelength fluctuations and dimensionality crossover in confined liquids. Physical Review Research, 3(3), 033172-. https://dx.doi.org/10.1103/PhysRevResearch.3.033172 2643-1564 https://hdl.handle.net/10356/159297 10.1103/PhysRevResearch.3.033172 2-s2.0-85115889668 3 3 033172 en RG 86/19(S) Physical Review Research © 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. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Confined Liquids
Phonons
spellingShingle Science::Physics
Confined Liquids
Phonons
Yang, Jing
Li, Yan-Wei
Ciamarra, Massimo Pica
Long-wavelength fluctuations and dimensionality crossover in confined liquids
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Yang, Jing
Li, Yan-Wei
Ciamarra, Massimo Pica
format Article
author Yang, Jing
Li, Yan-Wei
Ciamarra, Massimo Pica
author_sort Yang, Jing
title Long-wavelength fluctuations and dimensionality crossover in confined liquids
title_short Long-wavelength fluctuations and dimensionality crossover in confined liquids
title_full Long-wavelength fluctuations and dimensionality crossover in confined liquids
title_fullStr Long-wavelength fluctuations and dimensionality crossover in confined liquids
title_full_unstemmed Long-wavelength fluctuations and dimensionality crossover in confined liquids
title_sort long-wavelength fluctuations and dimensionality crossover in confined liquids
publishDate 2022
url https://hdl.handle.net/10356/159297
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