The effect of adsorbed polymer molecular weight on magnetic particle dispersibility

Inoue, H.; Fukke, Hajime; Katsumoto, Masayuki

doi:10.1016/0021-9797(92)90188-r

Cited by 9 publications

(4 citation statements)

References 14 publications

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“…Using a simplified Hertz distribution for particle distribution, the probability of electron tunneling in the percolated composite, and the nodes‐link‐blobs (NLB) approach common in percolation theory , the TPM percolation model takes the form of:

σ \sim σ_{f} {true(\frac{φ}{1 - φ_{c}} - \frac{φ_{c}}{1 - φ_{c}} true)}^{t_{u n} + true(\frac{a}{d} - 1 true)}, φ > φ_{c}

where

t_{u n}

is the universal critical exponent,

a

is the separation distance between conductors, and

d

is the characteristic tunneling distance of the polymer system. Typically it is assumed that the separation distance between conductors is dependent on dispersion characteristics , the thickness of the polymer layer that is adsorbed on the conductor surface , and the volume fraction (and packing arrangement) of conductor.…”

Section: Models Used In This Studymentioning

confidence: 99%

“…where t un is the universal critical exponent, a is the separation distance between conductors, and d is the characteristic tunneling distance of the polymer system. Typically it is assumed that the separation distance between conductors is dependent on dispersion characteristics [45,46], the thickness of the polymer layer that is adsorbed on the conductor surface [13,30,31], and the volume fraction (and packing arrangement) of conductor. For this TPM approach, the packing fraction and corresponding distance between conductors is estimated to be inversely proportional to the volume fraction of nanostrands.…”

Section: Tunneling Percolation Modelsmentioning

confidence: 99%

“…More recent works have provided valuable insight to the tunneling‐percolation relationships in conductor–insulator percolation systems . Tunneling approaches consider that the conductors in an insulator–conductor composite remain physically separated (such as by a thin polymer layer adsorbed on the conductor surface ), and must thus rely on quantum tunneling to achieve conduction between adjacent elements. Tunneling in conductor insulator mixtures was suggested by Sichel and further developed by Carmona , Balberg , Rubin , and more recently by Grimaldi and Balberg .…”

Section: Modeling Backgroundmentioning

confidence: 99%

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Evaluation and development of electrical conductivity models for nickel nanostrand polymer composites

2014

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The electrical conductivity of composites and polymeric‐based systems is frequently improved by the addition of conductive additives to form a conductor–insulator binary system. This study considers nickel nanostrands as a conductive element in polymer systems. Materials characteristics are considered in order to form a basis for understanding and predicting the electrical percolation behaviors of nanostrand composites, specifically seeking models that can distinguish between different polymer systems. Empirical percolation data for nickel nanostrands in four different polymeric systems is presented and used to evaluate candidate electrical conductivity models. Classical percolation approaches are found to not show good fit, but more advanced models are able to provide good correlation to tested results. Specifically, Tunneling Percolation (TPM) models and the Two Exponent Phenomenological Percolation Equation (TEPPE) model based on the Generalized Effective Media (GEM) theory show good fit. A combined TEPPE‐TPM approach is developed that applies tunneling percolation to the GEM theory. This combined model includes tunneling considerations in equations that accurately represent behaviors in all regions of percolation behavior. POLYM. ENG. SCI., 55:549–557, 2015. © 2014 Society of Plastics Engineers

show abstract

σ \sim σ_{f} {true(\frac{φ}{1 - φ_{c}} - \frac{φ_{c}}{1 - φ_{c}} true)}^{t_{u n} + true(\frac{a}{d} - 1 true)}, φ > φ_{c}

where

t_{u n}

is the universal critical exponent,

a

is the separation distance between conductors, and

d

Section: Models Used In This Studymentioning

confidence: 99%

Section: Tunneling Percolation Modelsmentioning

confidence: 99%

Section: Modeling Backgroundmentioning

confidence: 99%

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Evaluation and development of electrical conductivity models for nickel nanostrand polymer composites

2014

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“…Among many applications, a magnetic paint for magnetic recording media is one of the most difficult dispersion systems (6)(7)(8)(9)(10)(11). There is a strong magnetic attractive force between submicrometer-sized magnetic particles.…”

Section: Introductionmentioning

confidence: 99%

Polydispersity and Functional Group Distribution of Dispersant Polymer: Adsorption Properties and Magnetic Paint Dispersion

Soga

2001

Journal of Colloid and Interface Science

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Rheological probing of structure and pigment-resin interactions in magnetic paints

et al. 1998

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The effect of adsorbed polymer molecular weight on magnetic particle dispersibility

Cited by 9 publications

References 14 publications

Evaluation and development of electrical conductivity models for nickel nanostrand polymer composites

Evaluation and development of electrical conductivity models for nickel nanostrand polymer composites

Polydispersity and Functional Group Distribution of Dispersant Polymer: Adsorption Properties and Magnetic Paint Dispersion

Rheological probing of structure and pigment-resin interactions in magnetic paints

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