Surface adsorption and collapse transition of a linear polymer chain in three dimensions

Singh, Yashwant; Kumar, Sanjay; Giri, Debasis

doi:10.1088/0305-4470/32/36/103

Cited by 24 publications

(32 citation statements)

References 23 publications

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“…In the case of sufficiently dilute polymer solutions, different polymers do not overlap and the behaviour of such solution can be modeled by a random walk (RW) of a single polymer chain for ideal polymer in Θ -solvent [15,16,19,20] or self-avoiding walk (SAW) for the case of real polymer with the excluded volume interaction (EVI) in a good solvent at the temperatures above the Θ -temperature [15,16]. The situation when the solvent temperature is below the Θ -temperature corresponds to poor solvent where polymer coils tend to collapse [21,22]. A remarkable progress in the investigation of the depletion interaction potentials and the depletion forces which arise in the case of immersing the polymer solution of linear ideal and real polymer chains with the EVI inside the slit geometry of two parallel walls was achieved in [23,24] via the dimensionally regularised continuum version of the field theory with minimal subtraction of poles in the -expansion for the case of two repulsive walls and in one of our papers [25] via the massive field theory approach for the case of two repulsive walls, two inert walls and for the mixed situation of one repulsive and the other one inert wall.…”

Section: The European Physical Journal Special Topicsmentioning

confidence: 99%

Linear and ring polymers in confined geometries

Usatenko

Kuterba

Chamati

et al. 2017

Eur. Phys. J. Spec. Top.

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Abstract. A short overview of the theoretical and experimental works on the polymer-colloid mixtures is given. The behaviour of a dilute solution of linear and ring polymers in confined geometries like slit of two parallel walls or in the solution of mesoscopic colloidal particles of big size with different adsorbing or repelling properties in respect to polymers is discussed. Besides, we consider the massive field theory approach in fixed space dimensions d = 3 for the investigation of the interaction between long flexible polymers and mesoscopic colloidal particles of big size and for the calculation of the correspondent depletion interaction potentials and the depletion forces between confining walls. The presented results indicate the interesting and nontrivial behavior of linear and ring polymers in confined geometries and give possibility better to understand the complexity of physical effects arising from confinement and chain topology which plays a significant role in the shaping of individual chromosomes and in the process of their segregation, especially in the case of elongated bacterial cells. The possibility of using linear and ring polymers for production of new types of nano-and micro-electromechanical devices is analyzed.

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Section: The European Physical Journal Special Topicsmentioning

confidence: 99%

Linear and ring polymers in confined geometries

Usatenko

Kuterba

Chamati

et al. 2017

Eur. Phys. J. Spec. Top.

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“…In three dimensions this situation is closely realized in a so-called θ-solvent [18]. If the solvent temperature is below the θ-point (poor solvent) the polymer coils tend to collapse [19,20]. However, in the common case that the solvent temperature is above the θ-point (good solvent) the excluded volume (EV) interaction between chain monomers becomes relevant so that the polymer coils are less compact than the corresponding ideal chains.…”

Section: Introductionmentioning

confidence: 99%

Polymer depletion interaction between two parallel repulsive walls

et al. 2001

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The depletion interaction between two parallel repulsive walls confining a dilute solution of long and flexible polymer chains is studied by field-theoretic methods. Special attention is paid to self-avoidance between chain monomers relevant for polymers in a good solvent. Our direct approach avoids the mapping of the actual polymer chains on effective hard or soft spheres. We compare our results with recent Monte Carlo simulations [A. Milchev and K. Binder, Eur. Phys. J. B 3, 477 (1998)] and with experimental results for the depletion interaction between a spherical colloidal particle and a planar wall in a dilute solution of nonionic polymers [D. Rudhardt, C. Bechinger, and P. Leiderer, Phys. Rev. Lett. 81, 1330Lett. 81, (1998].

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“…The critical value of effective coordination number µ c (n, k) = 1 gc(n,k) is calculated using zeroth order approximation of the ratio method [19,20,21,22,23,24,25,26,27,28]. Our result for the critical value of step fugacity in the zeroth order approximation is 0.61803 for the confined flexible chain and the value of n is equal to 3, and this value of step fugacity is in the excellent agreement with our exact result 0.61803 [8].…”

Section: The Statistics Of the Confined Semiflexible Polymer Chainmentioning

confidence: 99%

“…We model the chain as a directed self-avoiding walk (DSAW ) [8,9,10,14,15,16,17,18] and list information of all the possible walks of the confined chain of given length with the help of a square lattice. The information of the walks of the confined chain is used as per the exact enumeration method [19,20,21,22,23,24,25,26,27,28]. The ratio method of series analysis [22] is used to discuss conformational properties of the confined chain.…”

Section: Introductionmentioning

confidence: 99%

Effect of confinement and stiffness on the conformational change of a semiflexible homopolymer chain

Mishra

2017

Indian J Phys

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We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are stair shaped impenetrable lines. A lattice model of fully directed self avoiding walk is used to list information of walks of the confined chain and the exact enumeration technique is used for the canonical ensemble of conformations of the confined chain to discuss equilibrium statistics of the chain. We obtain the probability of polymerization of the confined flexible chain segments with either one end (polymer trains) or both the ends of the confined chain lying on the stair shaped constraints (polymer bridge and arc). We have also calculated the force of confinement exerted by the constraints on to the chain or the force exerted by the chain on the geometrical constraints using grand canonical ensemble theory and discuss nature of variation of the force.

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Surface adsorption and collapse transition of a linear polymer chain in three dimensions

Cited by 24 publications

References 23 publications

Linear and ring polymers in confined geometries

Linear and ring polymers in confined geometries

Polymer depletion interaction between two parallel repulsive walls

Effect of confinement and stiffness on the conformational change of a semiflexible homopolymer chain

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