Measurable Structure Factor of a Multi-Species Polydisperse Percus-Yevick Fluid with Schulz Distributed Diameters

Ginoza, Mitsuaki; Yasutomi, Makoto

doi:10.1143/jpsj.68.2292

Cited by 12 publications

(16 citation statements)

References 13 publications

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“…Typically for σ > 0.25 one finds 1 < S p M < 1.5. This is the behavior commonly reported in the literature [5,19,20,28]. For densities φ > 0.68 subunity peaks are predicted in a range 0.10 < σ < 0.28.…”

supporting

confidence: 85%

Scattering from highly packed disordered colloids

Scheffold

Mason

2009

J. Phys.: Condens. Matter

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We discuss the measurable structure factor S(M)(q) of highly concentrated nanoemulsions in a glassy amorphous state. Neutron scattering data show that the primary structure factor peak decreases with increasing concentration and eventually drops below unity. We find very good quantitative agreement between the experimental S(M)(q) and analytical predictions for a polydisperse hard sphere fluid. Subunity structure factor peaks are predicted for dense fluids near and above the jamming transition.

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supporting

confidence: 85%

Scattering from highly packed disordered colloids

Scheffold

Mason

2009

J. Phys.: Condens. Matter

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“…3) has a similar enhancing effect on the scattering intensity for low k as the increase of polydispersity (Fig. 4 in Ginoza and Yasutomi, 1999), given that the mean sphere diameter is held constant. This further supports the hypothesis on the superposition of effects on grain scaling from the previous section.…”

Section: Monodisperse Vs Polydisperse Shsmentioning

confidence: 74%

“…Using polydisperse SHS with a distribution of diameters, these oscillatory features are smeared out as shown by Ginoza and Yasutomi (1999), leading to a smooth tail of C(k) and a more realistic appearance of the model when compared to the measurements. Furthermore, a comparison of the present results with Ginoza and Yasutomi (1999) also reveals that an increase of stickiness (increase of τ −1 in Fig. 3) has a similar enhancing effect on the scattering intensity for low k as the increase of polydispersity (Fig.…”

Section: Monodisperse Vs Polydisperse Shsmentioning

confidence: 99%

Microwave scattering coefficient of snow in MEMLS and DMRT-ML revisited: the relevance of sticky hard spheres and tomography-based estimates of stickiness

Löwe¹,

Picard²

2015

The Cryosphere

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Abstract. The description of snow microstructure in microwave models is often simplified to facilitate electromagnetic calculations. Within dense media radiative transfer (DMRT), the microstructure is commonly described by sticky hard spheres (SHS). An objective mapping of real snow onto SHS is however missing which prevents measured input parameters from being used for DMRT. In contrast, the microwave emission model of layered snowpacks (MEMLS) employs a conceptually different approach, based on the twopoint correlation function which is accessible by tomography. Here we show the equivalence of both electromagnetic approaches by reformulating their microstructural models in a common framework. Using analytical results for the twopoint correlation function of hard spheres, we show that the scattering coefficient in both models only differs by a factor which is close to unity, weakly dependent on ice volume fraction and independent of other microstructural details. Additionally, our analysis provides an objective retrieval method for the SHS parameters (diameter and stickiness) from tomography images. For a comprehensive data set we demonstrate the variability of stickiness and compare the SHS diameter to the optical equivalent diameter. Our results confirm the necessity of a large grain-size scaling when relating both diameters in the non-sticky case, as previously suggested by several authors.

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“…As an example, discrete element modeling (DEM) is of special interest for snow mechanics (Johnson and Hopkins, 2005) due to the advantages in handling bond failure and the formation of new contacts under large deformations; thereby, DEM faces the same difficulty as microwave models i.e, mapping the real snow structure onto a particle-based microstructure which is in some sense equivalent to snow. Deterministic approaches, which aim to recover the exact grain structure, are very time-consuming (Hagenmuller et al, 2014). Here DEM might also benefit from a stochastic reconstruction of snow in terms of SHS, where the computational effort for the parameter estimation is in the order of seconds.…”

Section: Relevance For Discrete Element Modeling Of Snowmentioning

confidence: 99%

Microwave scattering coefficient of snow in MEMLS and DMRT-ML revisited: the relevance of sticky hard spheres and tomography-based estimates of stickiness

Löwe¹,

Picard²

2015

Preprint

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Abstract. The description of snow microstructure in microwave models is often simplified to facilitate electromagnetic calculations. Within dense media radiative transfer (DMRT), the microstructure is commonly described by sticky hard spheres (SHS). An objective mapping of real snow onto SHS is however missing which prevents to use measured input parameters for DMRT. In contrast, the microwave emission model of layered snowpacks (MEMLS) employs a conceptually different approach, based on the two-point correlation function which is accessible by tomography. Here we show the equivalence of both electromagnetic approaches by reformulating their microstructural models in a common framework. Using analytical results for the two-point correlation function of hard spheres we show that the scattering coefficient in both models only differs by a factor which is close to unity, weakly dependent on ice volume fraction and independent of other microstructural details. Additionally, our analysis provides an objective retrieval method for the SHS parameters (diameter and stickiness) from tomography images. For a comprehensive data set we demonstrate the variability of stickiness and compare the SHS diameter to the optical equivalent diameter. Our results confirm the necessity of a large grain-size scaling when relating both diameters in the non-sticky case, as previously suggested by several authors.

show abstract

Measurable Structure Factor of a Multi-Species Polydisperse Percus-Yevick Fluid with Schulz Distributed Diameters

Cited by 12 publications

References 13 publications

Scattering from highly packed disordered colloids

Scattering from highly packed disordered colloids

Microwave scattering coefficient of snow in MEMLS and DMRT-ML revisited: the relevance of sticky hard spheres and tomography-based estimates of stickiness

Microwave scattering coefficient of snow in MEMLS and DMRT-ML revisited: the relevance of sticky hard spheres and tomography-based estimates of stickiness

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