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Related papers: Statistical Field Theory of Polarizable Polymer Ch…

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Polymeric materials that couple deformation and electrostatics have the potential for use in soft sensors and actuators with potential applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. In contrast…

Soft Condensed Matter · Physics 2020-06-02 Matthew Grasinger , Kaushik Dayal

Polymer networks formed by cross linking flexible polymer chains are ubiquitous in many natural and synthetic soft-matter systems. Current micromechanics models generally do not account for excluded volume interactions except, for instance,…

Soft Condensed Matter · Physics 2023-06-05 Pratik Khandagale , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

Constitutive modeling of dielectric elastomers has been of long standing interest in mechanics. Over the last two decades rigorous constitutive models have been developed that couple the electrical response of these polymers with large…

Soft Condensed Matter · Physics 2021-10-19 Matthew Grasinger , Kaushik Dayal , Gal deBotton , Prashant K. Purohit

Statistical mechanics is an important tool for understanding polymer electroelasticity because the elasticity of polymers is primarily due to entropy. However, a common approach for the statistical mechanics of polymer chains, the Gaussian…

Soft Condensed Matter · Physics 2021-04-28 Matthew Grasinger , Carmel Majidi , Kaushik Dayal

The lattice field theory approach to the statistical mechanics of a classical Coulomb gas [R. Coalson and A. Duncan, J. Chem. Phys. 97,5653(1992)] is generalized to include charged polymer chains. Saddle-point analysis is done on the…

Condensed Matter · Physics 2007-05-23 R. D. Coalson , A. Duncan , S. Tsonchev

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

Soft Condensed Matter · Physics 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

We report that a dielectric polymer chain, constrained at both ends, sharply collapses when exposed to a high electric field. The chain collapse is driven by nonlocal dipolar interactions and anisotropic polarization of monomers, a…

Soft Condensed Matter · Physics 2025-09-03 Pratik Khandagale , Gal deBotton , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

Force field have for decades proven to be an indispensable tool for molecular simulations which are out of reach for ab-initio methods. Recent efforts to improve the accuracy of these simulations have focused on the inclusion of many-body…

Chemical Physics · Physics 2020-06-26 Ruben Goeminne , Toon Verstraelen

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed…

Materials Science · Physics 2015-05-28 Riccardo Fantoni , Kristian K. Muller-Nedebock

We develop of a field-theoretic approach for the treatment of both the non-local and the non-linear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and…

Soft Condensed Matter · Physics 2022-02-01 Ralf Blossey , Rudolf Podgornik

We present a new simple self-consistent field theory of the polarizable flexible polymer chain under the external constant electric field with account for the many-body electrostatic dipole correlations. We show the effect of electrostatic…

Soft Condensed Matter · Physics 2016-10-27 Yu. A. Budkov , A. L. Kolesnikov

In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. As an application, the effects of the…

High Energy Physics - Theory · Physics 2007-05-23 F. Ferrari , I. Lazzizzera

We present a simple analytical theory of flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the dipole correlations within the random phase approximation…

Soft Condensed Matter · Physics 2017-03-17 Yu. A. Budkov , N. N. Kalikin , A. L. Kolesnikov

The field theory approach to the statistical mechanics of a system of N polymer rings linked together is generalized to the case of links that have a fixed number $2s$ of maxima and minima. Such kind of links are called plats and appear for…

Statistical Mechanics · Physics 2018-07-11 Franco Ferrari , Jarosław Paturej , Marcin Piątek , Yani Zhao

A stochastic field theory approach is applied to a coarse-grained polymer model that will enable studies of polymer behavior under non-equilibrium conditions. This article is focused on the validation of the new model in comparison to…

Soft Condensed Matter · Physics 2024-03-04 Shangren Zhu , Patrick T. Underhill

Herein, we describe new methods to produce colloidal particle chains of three stiffness regimes that can be observed on a single-particle level, that is, on the level of the monomers that make up the chain; the chains can even be observed…

We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a…

Soft Condensed Matter · Physics 2015-06-18 Glenn H. Fredrickson , Henri Orland

In this work a new strategy is proposed in order to build analytic and microscopic models of fluctuating polymer rings subjected to topological constraints. The topological invariants used to fix these constraints belong to a wide class of…

Statistical Mechanics · Physics 2020-01-08 Franco Ferrari

We present a nonlocal statistical field theory of a diluted solution of dipolar particles which are capable of forming chain-like clusters in accordance with the 'head-to-tail' mechanism. As in our previous study [Yu.A. Budkov 2018 J.…

Soft Condensed Matter · Physics 2019-03-26 Yu. A. Budkov

Tracer-diffusion of small molecules through dense systems of chain polymers is studied within an athermal lattice model, where hard core interactions are taken into account by means of the site exclusion principle. An approximate mapping of…

Soft Condensed Matter · Physics 2009-11-07 O. Durr , T. Volz , W. Dieterich , A. Nitzan
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