2001
DOI: 10.1007/s101890170013
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Excluded-volume polymer-induced depletion interaction between parallel flat plates

Abstract: Abstract. The interaction between two parallel plates due to non-adsorbing polymer chains with excluded volume is calculated using the adsorption method. The adsorption is calculated from the profile of the polymer segment concentration between the plates, which is obtained from the product function of the concentration profile near a single wall, involving the correlation length. The renormalization group theory provides expressions for the osmotic pressure and consequently for the osmotic compressibility, ch… Show more

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Cited by 18 publications
(36 citation statements)
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“…These results are also compared to direct computer simulations of L = 100 SAW polymers 38,39 . Even though the L = 100 simulations have not quite reached the scaling limit, the well-depths at contact are remarkably well reproduced, a result also found by Tuinier and Lekkerkerker 25 with a similar theory. 9), while the dot-dashed line shows the naive improvement obtained by substituting the true polymer osmotic pressure for the ideal polymer pressure.…”
Section: Depletion Potential Between Two Wallssupporting
confidence: 79%
“…These results are also compared to direct computer simulations of L = 100 SAW polymers 38,39 . Even though the L = 100 simulations have not quite reached the scaling limit, the well-depths at contact are remarkably well reproduced, a result also found by Tuinier and Lekkerkerker 25 with a similar theory. 9), while the dot-dashed line shows the naive improvement obtained by substituting the true polymer osmotic pressure for the ideal polymer pressure.…”
Section: Depletion Potential Between Two Wallssupporting
confidence: 79%
“…If the layer thickness were constant for all polymer concentrations and the osmotic pressure difference linear in concentration, this positive free energy would be P dV, where P continuously passes from P b at the colloid particle surface to zero in the surrounding solution. Since this is not the case, the energy is found by integration over volume and concentration [17]…”
Section: A Depletion Attractionmentioning
confidence: 99%
“…Two analytical treatments have been proposed recently to calculate the correlation length ξ and osmotic pressure P in the semidilute regime. The renormalization group theory [14] yields expressions [17,18] for ξ and P as functions of polymer concentration and molecular weight. A second treatment has been developed by Schweizer and co-workers [10,19], which employs the polymer reference interaction site model (PRISM).…”
Section: Introductionmentioning
confidence: 99%
“…Depletion forces, polymer crowding, and phase behavior in colloid-polymer mixtures and polymer-nanoparticle composite materials have been probed by a diverse array of experimental methods, including neutron scattering [51][52][53][54][55][56][57][58], atomic force microscopy [59], total internal reflection microscopy [60], optical trapping [61][62][63], and turbidity measurements [64][65][66]. Related modeling approaches have been based on mean-field and scaling theories [5,[67][68][69][70], free-volume theories [71][72][73][74], force-balance theory [75], perturbation theory [76,77], polymer field theory [78][79][80][81][82][83][84], integral-equation theory [85][86][87], densityfunctional theory [88][89][90][91][92], adsorption theory [93][94][95]…”
Section: Introductionmentioning
confidence: 99%