Long-range density fluctuations in glass-forming liquids

Bakaı̆, A. S.

doi:10.1016/s0022-3093(02)01513-2

Cited by 22 publications

(26 citation statements)

References 30 publications

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“…In [18,19] it was attempted to identify the Fischer cluster as critical fluctuations, assuming that the critical temperature is below T g . The analysis performed in [12] shows that the theory proposed in [18,19] Glass inherits the structural features of supercooled liquid. For this reason short-range and longrange correlations of liquid are also present in the glassy state.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 93%

“…A few papers are devoted to theory of the Fischer cluster [10][11][12]. The approach proposed in [10] to description of the fluctuation patterning is not completed as yet.…”

Section: Introductionmentioning

confidence: 99%

“…In [12] it is shown that the LRC appears as result of aggregation of heterophase correlated domains (CDs) having the same short-range order. This paper is devoted to a further development of the theory.…”

Section: Introductionmentioning

confidence: 99%

“…In [13][14][15][16][17][18][19][20][21][22][23] the free energy of the heterophase liquid is described in the mean field approximation. Equations proposed in [12,14,15,17,22,23] show that the heterophase liquid can have a critical point. Moreover these equations are isomorphic to van der Waals theory of the gas-liquid critical point (see below).…”

Section: Introductionmentioning

confidence: 99%

“…The free energy of a heterophase liquid is a functional of the order parameter and of the space distributions of the species possessing different SRO. In seeking the free energy one is led straightforwardly to the random-field Ginzburg-Landau model (RFGLM) [12]. Subsequent minimization of the free energy shows when and why the aforementioned correlations are beneficial.…”

Section: Introductionmentioning

confidence: 99%

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On correlated heterogeneities of glass-forming liquids

Bakaı̆

2002

Low Temperature Physics

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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, r 0 , which is comparable with the radius of the first coordination sphere; the random-field-controlled radius of critical fluctuations, R c ; the average correlation length of fractal aggregations formed by the correlated domains (the domains have size~R c ), x av . The length x av 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.

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Section: Discussion and Concluding Remarksmentioning

confidence: 93%

“…A few papers are devoted to theory of the Fischer cluster [10][11][12]. The approach proposed in [10] to description of the fluctuation patterning is not completed as yet.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%