Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures
We analyze the early phase of brine entrapment in sea ice, using a phase field model. This model for a first-order phase transition couples non-conserved order parameter kinetics to salt diffusion. The evolution equations are derived from a Landau-Ginzburg order parameter gradient dynamics together...
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ftdatacite:10.48550/arxiv.1405.0304 2023-05-15T18:17:32+02:00 Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures Thoms, Silke Kutschan, Bernd Morawetz, Klaus 2014 https://dx.doi.org/10.48550/arxiv.1405.0304 https://arxiv.org/abs/1405.0304 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Atmospheric and Oceanic Physics physics.ao-ph Soft Condensed Matter cond-mat.soft FOS Physical sciences Preprint Article article CreativeWork 2014 ftdatacite https://doi.org/10.48550/arxiv.1405.0304 2022-04-01T12:55:33Z We analyze the early phase of brine entrapment in sea ice, using a phase field model. This model for a first-order phase transition couples non-conserved order parameter kinetics to salt diffusion. The evolution equations are derived from a Landau-Ginzburg order parameter gradient dynamics together with salinity conservation. The numerical solution of model equations by an exponential time differencing scheme describes the time evolution of phase separation between liquid water with high salinity and the ice phase with low salinity. The numerical solution in one and two dimensions indicates the formation of one dominant wavelength which sets the length scale of short-time frozen structures. A stability analysis provides the phase diagram in terms of two Landau parameters. It is distinguished an uniform ice phase, a homogeneous liquid saline water solution and a phase where solidification structures can be formed. The Landau parameters are extracted from the supercooling and superheating as well as the freezing point temperature of water. With the help of realistic parameters the distribution of brine inclusions is calculated and found in agreement with the measured samples. The size of the ice domains separating regions of concentrated seawater depends on salinity and temperature and corresponds to the size of sea ice platelets obtained from a morphological stability analysis for the solidification of salt water. Report Sea ice DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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language |
unknown |
topic |
Atmospheric and Oceanic Physics physics.ao-ph Soft Condensed Matter cond-mat.soft FOS Physical sciences |
spellingShingle |
Atmospheric and Oceanic Physics physics.ao-ph Soft Condensed Matter cond-mat.soft FOS Physical sciences Thoms, Silke Kutschan, Bernd Morawetz, Klaus Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
topic_facet |
Atmospheric and Oceanic Physics physics.ao-ph Soft Condensed Matter cond-mat.soft FOS Physical sciences |
description |
We analyze the early phase of brine entrapment in sea ice, using a phase field model. This model for a first-order phase transition couples non-conserved order parameter kinetics to salt diffusion. The evolution equations are derived from a Landau-Ginzburg order parameter gradient dynamics together with salinity conservation. The numerical solution of model equations by an exponential time differencing scheme describes the time evolution of phase separation between liquid water with high salinity and the ice phase with low salinity. The numerical solution in one and two dimensions indicates the formation of one dominant wavelength which sets the length scale of short-time frozen structures. A stability analysis provides the phase diagram in terms of two Landau parameters. It is distinguished an uniform ice phase, a homogeneous liquid saline water solution and a phase where solidification structures can be formed. The Landau parameters are extracted from the supercooling and superheating as well as the freezing point temperature of water. With the help of realistic parameters the distribution of brine inclusions is calculated and found in agreement with the measured samples. The size of the ice domains separating regions of concentrated seawater depends on salinity and temperature and corresponds to the size of sea ice platelets obtained from a morphological stability analysis for the solidification of salt water. |
format |
Report |
author |
Thoms, Silke Kutschan, Bernd Morawetz, Klaus |
author_facet |
Thoms, Silke Kutschan, Bernd Morawetz, Klaus |
author_sort |
Thoms, Silke |
title |
Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
title_short |
Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
title_full |
Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
title_fullStr |
Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
title_full_unstemmed |
Phase-field theory of brine entrapment in sea ice: Short-time frozen microstructures |
title_sort |
phase-field theory of brine entrapment in sea ice: short-time frozen microstructures |
publisher |
arXiv |
publishDate |
2014 |
url |
https://dx.doi.org/10.48550/arxiv.1405.0304 https://arxiv.org/abs/1405.0304 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1405.0304 |
_version_ |
1766191824635953152 |