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Related papers: Polymer as a function of monomer: Analytical quant…

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Polymers, composed of repeating structural units called monomers, are fundamental materials in daily life and industry. Accurate property prediction for polymers is essential for their design, development, and application. However, existing…

Machine Learning · Computer Science 2025-07-29 Jiaxi Wang , Yaosen Min , Xun Zhu , Miao Li , Ji Wu

We develop a Machine Learning Inversion method for analyzing scattering functions of mechanically driven polymers and extracting the corresponding feature parameters, which include energy parameters and conformation variables. The polymer…

Soft Condensed Matter · Physics 2025-11-21 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

A novel approach to the dynamics of dilute solutions of polymer molecules under flow conditions is proposed by applying the rules of mesoscopic nonequilibrium thermodynamics (MNET). The probability density describing the state of the system…

Statistical Mechanics · Physics 2009-11-11 C. Malaga , F. Mandujano , I. Santamaria-Holek

The densities of states are evaluated for very short chain molecules made up of overlapping monomers, using a model which has previously been shown to produce helical structure. The results of numerical calculations are presented for…

Statistical Mechanics · Physics 2009-11-13 James E. Magee , Leo Lue , Robin A. Curtis

We formulate a self-consistent procedure for calculation of thermodynamic and structural properties of polymer solutions based on the Gaussian equivalent representation method (GER) for functional integrals calculation beyond the mean-field…

Statistical Mechanics · Physics 2015-07-31 Yu. A. Budkov , E. A. Nogovitsin , A. L. Kolesnikov

A combination of classical molecular dynamics (MM/MD) and quantum chemical calculations based on the density functional theory (DFT) was performed to describe conformational properties of diphenylethyne (DPE), methylated-DPE and poly para…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Behnaz Bagheri , Björn Baumeier , Mikko Karttunen

This work introduces a methodology for the statistical mechanical analysis of polymeric chains under tension controlled by optical or magnetic tweezers at thermal equilibrium with an embedding fluid medium. The response of single bonds…

Soft Condensed Matter · Physics 2020-02-26 Aaron C. Meyer , Yahya Öz , Norman Gundlach , Michael Karbach , Ping Lu , Gerhard Müller

We investigate the effects of lateral interactions on the conductance of two molecules connected in parallel to semi-infinite leads. The method we use combines a Green function approach to quantum transport with density functional theory…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Rui Liu , San-Huang Ke , Harold U. Baranger , Weitao Yang

Conjugated polymers are observed to aggregate in solution. To account for this observation we propose a inter-chain binding mechanism based on the intermolecular tunneling of the delocalized $\pi$-electrons occurring at points where the…

Soft Condensed Matter · Physics 2013-05-29 Jeremy D. Schmit , Alex J. Levine

Despite the long-recognized fact that chemical structure and specific interactions greatly influence the thermodynamic properties of polymer systems, a predictive molecular theory that enables systematically addressing the role of chemical…

Soft Condensed Matter · Physics 2015-06-22 Wen-Sheng Xu , Karl F. Freed

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

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite…

Statistical Mechanics · Physics 2009-11-10 Michael Hartmann , Guenter Mahler , Ortwin Hess

In the limit of low adatom concentration, we obtain exact analytic expressions for the local and total density of states (LDOS, TDOS) for a tight-binding model of adatoms on graphene. The model is not limited to nearest-neighbor hopping but…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Nicholas A. Pike , David Stroud

Electron transfer processes at molecule-semiconductor interfaces involve a complex mixture of thermionic, tunneling and hopping events. Traditionally these processes have been modeled in a piece-meal fashion, relying on phenomenological…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Archana Bahuguna , Fernanda Camacho-Alanis , Riya Shergill , Smitha Vasudevan , Avik Ghosh , Nathan Swami

We present a conceptually simple method for treating electron-phonon scattering and phonon limited mobilities. By combining Green's function based transport calculations and molecular dynamics (MD), we obtain a temperature dependent…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Troels Markussen , Mattias Palsgaard , Daniele Stradi , Tue Gunst , Mads Brandbyge , Kurt Stokbro

The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely that of a…

Soft Condensed Matter · Physics 2014-10-14 Diddo Diddens , Andreas Heuer

In this work we perform a comparison between Classical Molecular Static (CMS) and quantum Density Functional Theory (DFT) calculations in order to obtain the diffusion coefficients for diluted \emph{Fe-Cr} alloys. We show that, in…

Materials Science · Physics 2015-03-27 Viviana P. Ramunni , Alejandro M. F. Rivas

Polymer models play the special role of elucidating the elementary features describing the physics of long molecules and become essential to interpret the measurements of their magnitudes. In this work the end-to-end distance of an…

Soft Condensed Matter · Physics 2023-02-23 Alessandro Fiasconaro , Fernando Falo

A fully analytical approach based on the equation of motion technique to investigate the spectral properties and orbital occupations in an interacting double quantum dot in equilibrium is presented. By solving a linear system for the…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Nahual Sobrino , David Jacob , Stefan Kurth

Polymer models are used to describe chromatin, which can be folded at different spatial scales by binding molecules. By folding, chromatin generates loops of various sizes. We present here a randomly cross-linked (RCL) polymer model, where…

Soft Condensed Matter · Physics 2017-05-12 Ofir Shukron , David Holcman
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