Universal features of polymer shapes in crowded environments

Blavatska, V.; Ferber, Christian von; Holovatch, Yu.

doi:10.1016/j.physleta.2010.03.037

Cited by 12 publications

(11 citation statements)

References 27 publications

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“…In particular, it was shown that the correlated obstacles in environment lead to a new universality class with values of the polymer scaling exponents that depend on the strength of correlation expressed by parameters a. The question about how the characteristics of shape of a flexible chain are effected by the presence of such a porous medium was briefly discussed by us in reference [45]. The details of these calculations will be presented here.…”

Section: Polymer In Porous Environment: Model With Long-range Correlamentioning

confidence: 99%

Shapes of macromolecules in good solvents: field theoretical renormalization group approach

Blavatska¹,

Ferber²,

Holovatch³

2011

Condens. Matter Phys.

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In this paper, we show how the method of field theoretical renormalization group may be used to analyze universal shape properties of long polymer chains in porous environment. So far such analytical calculations were primarily focussed on the scaling exponents that govern conformational properties of polymer macromolecules. However, there are other observables that along with the scaling exponents are universal (i.e. independent of the chemical structure of macromolecules and of the solvent) and may be analyzed within the renormalization group approach. Here, we address the question of shape which is acquired by the long flexible polymer macromolecule when it is immersed in a solvent in the presence of a porous environment. This question is of relevance for understanding of the behavior of macromolecules in colloidal solutions, near microporous membranes, and in cellular environment. To this end, we consider a previously suggested model of polymers in d-dimensions [V. Blavats'ka, C. von Ferber, Yu. Holovatch, Phys. Rev. E, 2001, 64, 041102] in an environment with structural obstacles, characterized by a pair correlation function h(r), that decays with distance r according to a power law: h(r) ∼ r −a . We apply the field-theoretical renormalization group approach and estimate the size ratio R 2 e / R 2 G and the asphericity ratioÂ d up to the first order of a double ε = 4−d, δ = 4−a expansion.

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Section: Polymer In Porous Environment: Model With Long-range Correlamentioning

confidence: 99%

Shapes of macromolecules in good solvents: field theoretical renormalization group approach

Blavatska¹,

Ferber²,

Holovatch³

2011

Condens. Matter Phys.

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“…Presence of disorder in the form of extended structural defects causes the swelling of polymer coil (1) with larger value of scaling exponent ν, and thus leads to an elongation of polymer conformation. Further studies reveal an increase of the effective polymer size and shape anisotropy of polymers in long-range correlated disorder [51]. Moving from linear polymer chains to more complicated structures like star-branched polymers in environment with long-range correlated disorder, one finds the whole spectrum of universal exponents in a new universality class [52].…”

Section: Introductionmentioning

confidence: 99%

Ring polymers in crowded environment: Conformational properties

Haydukivska

Blavatska

2014

The Journal of Chemical Physics

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We analyze the universal size characteristics of flexible ring polymers in solutions in presence of structural obstacles (impurities) in d dimensions. One encounters such situations when considering polymers in gels, colloidal solutions, intra- and extracellular environments. A special case of extended impurities correlated on large distances r according to a power law ~r(-a) is considered. Applying the direct polymer renormalization scheme, we evaluate the estimates for averaged gyration radius ⟨R(g ring)⟩ and spanning radius ⟨R(1/2 ring)⟩ of typical ring polymer conformation up to the first order of double ɛ = 4 - d, δ = 4 - a expansion. Our results quantitatively reveal an extent of the effective size and anisotropy of closed ring macromolecules in disordered environment. In particular, the size ratio of ring and open (linear) polymers of the same molecular weight grows when increasing the strength of disorder according to ⟨R(g ring)(2)⟩/⟨R(g chain)(2)⟩=½(1+(13/48)δ).

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“…The origin of the coordinate system is the centre of mass. The inertia tensor is defined by the expression [4][5][6][7][8]:…”

Section: Introductionmentioning

confidence: 99%

Inertia tensor as morphological descriptor for aggregation dynamics

Gruy

2015

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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International audienceMultidimensional population balance modelling is a powerful tool to study the dynamics of the precipitation and particularly the aggregation of particles. This approach involves the selection of internal parameters describing the particle. Among them, morphological or geometrical descriptors are required. In this paper, the inertia or gyration tensor is considered and evaluated for the modelling of aggregation. An equivalent ellipsoid to the aggregate is defined from the tensor. Firstly, a general expression for the inertia tensor of the aggregate resulting from the collision of two aggregates is presented. In this framework, the collision event becomes the collision between two equivalent ellipsoids and leads to a larger ellipsoid. Secondly, the inertia tensor and the characteristics of the equivalent ellipsoid are explicitly calculated in the case of shear aggregation in a two-dimensional space. An approximate calculation is also presented and checked. Finally, the shear aggregation of a set of disks in a two-dimensional space is simulated using simultaneously this modelling of the collision event and Monte-Carlo simulations for all the collisions. This is compared with classical Monte Carlo simulations where the colliding particles are clusters of disks. Physical properties of the cluster population as, for instance, the distribution of elongation or anisotropy factor at different times are presented

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Universal features of polymer shapes in crowded environments

Cited by 12 publications

References 27 publications

Shapes of macromolecules in good solvents: field theoretical renormalization group approach

Shapes of macromolecules in good solvents: field theoretical renormalization group approach

Ring polymers in crowded environment: Conformational properties

Inertia tensor as morphological descriptor for aggregation dynamics

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