Semi-flexible polymers with attractive interactions

Bundschuh, Ralf; Lässig, Michael; Lipowsky, Reinhard

doi:10.1007/s101890070022

Cited by 19 publications

(34 citation statements)

References 19 publications

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“…This is in accord with previous calculations [161,162,163,164,165] and simulations [166] for a semi-flexible polymer bound by short-ranged (square-well) potentials. Setting D ∼ κ −1 in Eq.…”

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confidence: 92%

Neutral and charged polymers at interfaces

2003

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Chain-like macromolecules (polymers) show characteristic adsorption properties due to their flexibility and internal degrees of freedom, when attracted to surfaces and interfaces. In this review we discuss concepts and features that are relevant to the adsorption of neutral and charged polymers at equilibrium, including the type of polymer/surface interaction, the solvent quality, the characteristics of the surface, and the polymer structure. We pay special attention to the case of charged polymers (polyelectrolytes) that have a special importance due to their water solubility. We present a summary of recent progress in this rapidly evolving field. Because many experimental studies are performed with rather stiff biopolymers, we discuss in detail the case of semi-flexible polymers in addition to flexible ones. We first review the behavior of neutral and charged chains in solution. Then, the adsorption of a single polymer chain is considered. Next, the adsorption and depletion processes in the many-chain case are reviewed. Profiles, changes in the surface tension and polymer surface excess are presented. Mean-field and corrections due to fluctuations and lateral correlations are discussed. The force of interaction between two adsorbed layers, which is important in understanding colloidal stability, is characterized. The behavior of grafted polymers is also reviewed, both for neutral and charged polymer brushes.

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confidence: 92%

Neutral and charged polymers at interfaces

2003

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“…2. Apart from the logarithmic singularity, the exponents as given by (11) have been obtained previously by field-theoretic methods [10]. The matching condition (9) leads to a second implicit relation E = E(G ∆ ) between the ground-state energy E and the strength G ∆ of the potential in (1).…”

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“…Our analytical approach starts from the differential transfer matrix equation discussed previously in [8][9][10]. We study the corresponding eigenvalue equation for the localized ground state and derive a general integral expression for it.…”

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Unbundling and desorption of semiflexible polymers

Kierfeld¹,

Lipowsky²

2003

Europhys. Lett.

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A complete classification for unbundling transitions of two semiflexible polymers and for desorption transitions of such polymers at planar surfaces is presented. The interaction potentials can depend both on the polymer/polymer (or polymer/surface) separation and on the orientation of the polymers. Using analytical transfer matrix methods and scaling arguments, the order of the transitions and the corresponding critical exponents are obtained for all types of interaction potentials in arbitrary spatial dimension d = 1 + d ⊥. Our results are applicable to biopolymers or polyelectrolytes with large persistence lengths such as actin filaments, microtubules, or DNA. c EDP Sciences (1)The exponent χ was previously denoted by x or by ζ 2 and governs the contact probability which scales as 1/ξ χ with the longitudinal correlation length ξ .

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“…Models with Laplacian interaction have been studied in the Physics literature in the context of semiflexible polymers, c.f. [BLL00,HV09], or in the context of deforming rods in space, cf. [Ant05].…”

Section: Introduction and Large Deviation Resultsmentioning

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Sample path large deviations for Laplacian models in $(1+1)$-dimensions

Adams¹,

Kister²,

Weber³

2016

Electron. J. Probab.

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We study scaling limits of a Laplacian pinning model in (1 + 1) dimension and derive sample path large deviations for the profile height function. The model is given by a Gaussian integrated random walk (or a Gaussian integrated random walk bridge) perturbed by an attractive force towards the zero-level. We study in detail the behaviour of the rate function and show that it can admit up to five minimisers depending on the choices of pinning strength and boundary conditions. This study complements corresponding large deviation results for Gaussian gradient systems with pinning in (1 + 1)-dimension ([FS04]) in (1 + d)-dimension ([BFO09]), and recently in higher dimensions in [BCF14].where ∆ denotes the discrete Laplacian, ∆φ k = φ k+1 + φ k−1 − 2φ k . Our pinning models are then given by the probability measures(εδ 0 (dφ k ) + dφ k ) k∈{−1,0,N,N +1}

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Semi-flexible polymers with attractive interactions

Cited by 19 publications

References 19 publications

Neutral and charged polymers at interfaces

Neutral and charged polymers at interfaces

Unbundling and desorption of semiflexible polymers

Sample path large deviations for Laplacian models in $(1+1)$-dimensions

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