Coexistence curve of a polydisperse polymer solution near the critical point

Kita, R.; Dobashi, Toshiaki; Yamamoto, Takao; Nakata, Mitsuo; Kamide, Kenji

doi:10.1103/physreve.55.3159

Cited by 27 publications

(16 citation statements)

References 29 publications

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“…Finally we note that experiments have been performed on polydisperse polymers which report that the critical exponents for the critical coexistence curve are Fisherrenormalized with respect to the standard Ising values [27]. The present model may provide a useful platform for elucidating these intriguing findings; this is something which we hope to do in future work.…”

Section: Discussionmentioning

confidence: 64%

Polydisperse lattice-gas model

2008

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We describe a lattice-gas model suitable for studying the generic effects of polydispersity on liquid-vapor phase equilibria. Using Monte Carlo simulation methods tailored for the accurate determination of phase behavior under conditions of fixed polydispersity, we trace the cloud and shadow curves for a particular Schulz distribution of the polydisperse attribute. Although polydispersity enters the model solely in terms of the strengths of the interparticle interactions, this is sufficient to induce the broad separation of cloud and shadow curves seen both in more realistic models and experiments.

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Section: Discussionmentioning

confidence: 64%

Polydisperse lattice-gas model

2008

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“…Together with (10) this gives the desired shifts of the critical density, δρ * , and critical temperature, δβ * ; these results can be checked to agree with the general polydisperse CP criterion [9], expanded directly for small w.…”

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confidence: 76%

“…This encompasses a large variety of models used to describe polydisperse complex fluids, such as van der Waals theory for liquids, free volume theory for colloid-polymer mixtures, the Flory-Huggins and Wertheim's statistical associating fluid theories for polymers etc (see references in [9]). For monodisperse reference systems with nonclassical critical behaviour one expects that polydispersity will Fisher-renormalize the critical exponents [10], multiplying them by 1/(1 − α). For small w a crossover from the monodisperse to the polydisperse exponents should then occur very close to the CP, and this will not be accounted for by our perturbation theory.…”

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confidence: 99%

Weakly Polydisperse Systems: Perturbative Phase Diagrams that Include the Critical Region

Sollich

2008

Phys. Rev. Lett.

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The phase behavior of a weakly polydisperse system, such as a colloid with a small spread of particle sizes, can be related perturbatively to that of its monodisperse counterpart. I show how this approach can be generalized to remain well behaved near critical points, avoiding the divergences of existing methods and giving access to some of the key qualitative features of polydisperse phase equilibria. The analysis explains also why in purely size-polydisperse systems the critical point is, unusually, located very near the maximum of the cloud and shadow curves.

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“…The coexistence curves were measured by a differential refractometer, details of which are described elsewhere. 11 For the measurement of a pressure-induced coexistence curve, the differential cell was sealed with mercury to transmit pressure directly to the solution. The air was carefully removed out from the differential cell.…”

Section: Methodsmentioning

confidence: 99%

Coexistence curve of perfluoromethylcyclohexane+carbon tetrachloride near the critical point in composition-pressure and composition-temperature space

Dobashi

Koizumi

Kita

et al. 1998

The Journal of Chemical Physics

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Coexistence curves in volume fraction-temperature ( -T) space and in volume fraction-pressure ( -p) space have been measured for the binary system perfluoromethylcyclohexaneϩcarbon tetrachloride in the temperature range T c -TϽ0.8 K and in the pressure range p -p c Ͻ3.2 MPa near the critical point (T c , p c , c ). The observed coexistence curves were expressed by the simple scaling relationThe exponent was determined as ␤ T ϭ0.326Ϯ0.001 and ␤ p ϭ0.330Ϯ0.006, which agree with each other and with the theoretical value ␤ϭ0.327 for the Ising model. The observed coefficients give (B p /B T ) 1/␤ ϭ0.42Ϯ0.02 K/MPa, which may be compared with the slope (dT/dp) c ϭ0.38 K/MPa of the p -T critical line in light of a thermodynamic argument. This means that the pressure range is converted into the temperature range with the slope (dT/dp) c as a scale factor.

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Coexistence curve of a polydisperse polymer solution near the critical point

Cited by 27 publications

References 29 publications

Polydisperse lattice-gas model

Polydisperse lattice-gas model

Weakly Polydisperse Systems: Perturbative Phase Diagrams that Include the Critical Region

Coexistence curve of perfluoromethylcyclohexane+carbon tetrachloride near the critical point in composition-pressure and composition-temperature space

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