On correlated heterogeneities of glass-forming liquids
The thermodynamics and structure of glass-forming liquids are considered within the framework of the heterophase fluctuation (HPF) model. The main goal of the theory developed is to fined for a description of the long-range correlations (LRC) of the density fluctuations known as the Fischer cluster....
Saved in:
| Published in: | Физика низких температур |
|---|---|
| Date: | 2002 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2002
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/128727 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On correlated heterogeneities of glass-forming liquids / A.S. Bakai // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1260-1273. — Бібліогр.: 39. назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-128727 |
|---|---|
| record_format |
dspace |
| spelling |
Bakai, A.S. 2018-01-13T19:15:50Z 2018-01-13T19:15:50Z 2002 On correlated heterogeneities of glass-forming liquids / A.S. Bakai // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1260-1273. — Бібліогр.: 39. назв. — англ. 0132-6414 PACS: 64.70.Pf https://nasplib.isofts.kiev.ua/handle/123456789/128727 The thermodynamics and structure of glass-forming liquids are considered within the framework of the heterophase fluctuation (HPF) model. The main goal of the theory developed is to fined for a description of the long-range correlations (LRC) of the density fluctuations known as the Fischer cluster. The van der Waals approximation of the HPF model shows that the liquid can have an isolated solid-fluid critical point analogous to the critical point of a gas-liquid system. Heterophase fluctuations in the form of solidlike noncrystalline and fluidlike clusters can have LRC in a narrow vicinity of the critical point. An analysis shows that the properties of the conventional critical fluctuations differ from those of the Fisher cluster. This forces one to look for another explanation of the observed LRC in glass-forming liquids. Large configurational entropy of liquids and glasses is a manifestation of multiplicity of the short-range ordering of molecules in the amorphous solidlike and fluidlike clusters. The multiplicity of short-range order results in structural heterogeneities. Random-field Ginzburg-Landau equations for the HPFs are deduced taking into account the structural heterogeneities. The random field is generated by these heterogeneities. It is found that at least three characteristic correlation scales are inherent to the HPF: the radius of local order, r₀, which is comparable with the radius of the first coordination sphere; the random-field-controlled radius of critical fluctuations, Rc; the average correlation length of fractal aggregations formed by the correlated domains (the domains have size ~ Rc), xav. The length xav is the characteristic size of the Fischer cluster. The conditions for the appearance of the listed correlations are deduced by requiring that they provide minimization of the free energy of the system. The annealing kinetics and dynamics (the ultraslow modes) of the Fischer cluster are described. Many fruitful discussions with E. W. Fischer are cordially acknowledged. This work was supported in part by the Science and Technology Center of Ukraine, project N655. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкоразмерные и неупорядоченные системы On correlated heterogeneities of glass-forming liquids Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On correlated heterogeneities of glass-forming liquids |
| spellingShingle |
On correlated heterogeneities of glass-forming liquids Bakai, A.S. Низкоразмерные и неупорядоченные системы |
| title_short |
On correlated heterogeneities of glass-forming liquids |
| title_full |
On correlated heterogeneities of glass-forming liquids |
| title_fullStr |
On correlated heterogeneities of glass-forming liquids |
| title_full_unstemmed |
On correlated heterogeneities of glass-forming liquids |
| title_sort |
on correlated heterogeneities of glass-forming liquids |
| author |
Bakai, A.S. |
| author_facet |
Bakai, A.S. |
| topic |
Низкоразмерные и неупорядоченные системы |
| topic_facet |
Низкоразмерные и неупорядоченные системы |
| publishDate |
2002 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
The thermodynamics and structure of glass-forming liquids are considered within the framework of the heterophase fluctuation (HPF) model. The main goal of the theory developed is to fined for a description of the long-range correlations (LRC) of the density fluctuations known as the Fischer cluster. The van der Waals approximation of the HPF model shows that the liquid can have an isolated solid-fluid critical point analogous to the critical point of a gas-liquid system. Heterophase fluctuations in the form of solidlike noncrystalline and fluidlike clusters can have LRC in a narrow vicinity of the critical point. An analysis shows that the properties of the conventional critical fluctuations differ from those of the Fisher cluster. This forces one to look for another explanation of the observed LRC in glass-forming liquids. Large configurational entropy of liquids and glasses is a manifestation of multiplicity of the short-range ordering of molecules in the amorphous solidlike and fluidlike clusters. The multiplicity of short-range order results in structural heterogeneities. Random-field Ginzburg-Landau equations for the HPFs are deduced taking into account the structural heterogeneities. The random field is generated by these heterogeneities. It is found that at least three characteristic correlation scales are inherent to the HPF: the radius of local order, r₀, which is comparable with the radius of the first coordination sphere; the random-field-controlled radius of critical fluctuations, Rc; the average correlation length of fractal aggregations formed by the correlated domains (the domains have size ~ Rc), xav. The length xav is the characteristic size of the Fischer cluster. The conditions for the appearance of the listed correlations are deduced by requiring that they provide minimization of the free energy of the system. The annealing kinetics and dynamics (the ultraslow modes) of the Fischer cluster are described.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/128727 |
| citation_txt |
On correlated heterogeneities of glass-forming liquids / A.S. Bakai // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1260-1273. — Бібліогр.: 39. назв. — англ. |
| work_keys_str_mv |
AT bakaias oncorrelatedheterogeneitiesofglassformingliquids |
| first_indexed |
2025-12-07T13:35:43Z |
| last_indexed |
2025-12-07T13:35:43Z |
| _version_ |
1850856747988680704 |