2015
DOI: 10.1209/0295-5075/109/36005
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A flexible polymer chain in a critical solvent: Coil or globule?

Abstract: -We study the behavior of a flexible polymer chain in the presence of a low-molecular weight solvent in the vicinity of a liquid-gas critical point within the framework of a self-consistent field theory. The total free energy of the dilute polymer solution is expressed as a function of the radius of gyration of the polymer and the average solvent number density within the gyration volume at the level of the mean-field approximation. Varying the strength of attraction between polymer and solvent we show that tw… Show more

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Cited by 21 publications
(34 citation statements)
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“…Namely, the ideal part consists of entropic terms for the solvent, the co-solvent and the polymer chain. The latter is calculated within the Fixman approximation for a flexible polymer chain [34][35][36][44][45][46][47] . The inter-molecular interactions are modelled by the Lennard-Jones (LJ) potentials.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…Namely, the ideal part consists of entropic terms for the solvent, the co-solvent and the polymer chain. The latter is calculated within the Fixman approximation for a flexible polymer chain [34][35][36][44][45][46][47] . The inter-molecular interactions are modelled by the Lennard-Jones (LJ) potentials.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…, where x is a co-solvent mole fraction in the bulk. Like in recent works 26,27,29,30 we assume for convenience that the volume of system consists of two parts: the gyration volume…”
Section: Theorymentioning
confidence: 99%
“…As well as in our previous work 29 , we assume that σ ij = (σ ii + σ jj )/2, whereas each energetic parameter ij is considered as independent. Within the present study we do not introduce the second virial coefficients as the parameters of interaction [26][27][28] , but as in the work 29 we construct the total free energy by using different expressions which are straightforwardly related to repulsive and attractive parts of interaction potentials (1). Moreover, in contrast to the works 26,28 we take into account the both solvent species explicitly.…”
Section: Theorymentioning
confidence: 99%
“…The coil-globule transition has been considered within a simple theory of self-consistent field as well as a sophisticated field-theoretic formalism. [22][23][24][25][26][27][28][29][30][31][32][33] Most of these studies are based on the simple idea that the polymer coil shrinks lead to a collapse, when the solvent becomes poorer. It should be noted that the coil-globule transition usually occurs as first-or second-order phase transitions.…”
Section: Introductionmentioning
confidence: 99%