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In the case where the charge of the particle is small compared to its mass, we describe the asymptotics of the Lorentz-Maxwell equation for any finite-energy data. As time goes to infinity, we prove that the speed of the particle converges…

偏微分方程分析 · 数学 2009-11-13 Pierre Germain

We discuss the simple microscopic derivation of a hydrophobic effect. Our approach is based on the standard functional representation of the partition function of interacting classical particles and subsequent passage to collective…

统计力学 · 物理学 2016-08-31 G. Sitnikov , S. Nechaev

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…

软凝聚态物质 · 物理学 2015-06-18 Glenn H. Fredrickson , Henri Orland

A lattice field theory approach to the statistical mechanics of charged polymers in electrolyte solutions [S. Tsonchev, R. D. Coalson, and A. Duncan, Phys. Rev. E 60, 4257, (1999)] is applied to the study of a polymer chain contained in a…

统计力学 · 物理学 2009-11-13 Stefan Tsonchev , Rob D. Coalson , Anthony Duncan

Based on density functional theory the influence of curvature on the depletion potential of a single big hard sphere immersed in a fluid of small hard spheres with packing fraction \eta_s either inside or outside of a hard spherical cavity…

软凝聚态物质 · 物理学 2009-10-31 R. Roth , B. G"otzelmann , S. Dietrich

Using field theoretic approach, we study equilibrium shape deformation of a vesicle induced by the presence of enclosed flexible polymers, which is a simple model of drug delivery system or endocytosis. To evaluate the total free energy of…

软凝聚态物质 · 物理学 2015-05-20 Yutaka Oya , Katsuhiko Sato , Toshihiro Kawakatsu

We propose the quantitative mean-field theory of mechanical unfolding of a globule formed by long flexible homopolymer chain collapsed in poor solvent and subjected to extensional deformation. We demonstrate that depending on the degree of…

软凝聚态物质 · 物理学 2012-05-15 Alexey A. Polotsky , Mohamed Daoud , Oleg Borisov , Tatiana M. Birshtein

We have studied the structure and free energy landscape of a semi-flexible lattice-polymer in the presence of a surface. At low temperatures coexistence of two-dimensional integer-folded crystals is observed. As the temperature is increased…

软凝聚态物质 · 物理学 2007-05-23 Jonathan Doye , Daan Frenkel

A collection of rigorous results for a class of mean-field monomer-dimer models is presented. It includes a Gaussian representation for the partition function that is shown to considerably simplify the proofs. The solutions of the quenched…

数学物理 · 物理学 2016-12-30 Diego Alberici , Pierluigi Contucci , Emanuele Mingione

We consider a model mixture of hard colloidal spheres and non-adsorbing polymer chains in a theta solvent. The polymer component is modelled as a polydisperse mixture of effective spheres, mutually noninteracting but excluded from the…

软凝聚态物质 · 物理学 2009-11-10 A. R. Denton , M. Schmidt

A new minimal coupling method is introduced. A general dissipative quantum system is investigated consistently and systematically. Some coupling functions describing the interaction between the system and the environment are introduced.…

量子物理 · 物理学 2007-05-23 F. Kheirandish , M. Amooshahi

Nucleus-nucleus interaction potentials in heavy-ion fusion reactions are extracted from the microscopic time-dependent Hartree-Fock theory. When the center-of-mass energy is much higher than the Coulomb barrier energy, extracted potentials…

核理论 · 物理学 2009-11-13 Kouhei Washiyama , Denis Lacroix

We develop a new quantitative molecular theory of liquid-phase dipolar polymer gels. We model monomer units of the polymer network as a couple of charged sites separated by a fluctuating distance. For the first time, within the random phase…

软凝聚态物质 · 物理学 2021-03-09 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

This paper discusses the free energy of complex dislocation microstructures, which is a fundamental property of continuum plasticity. In the past, multiple models of the self energy of dislocations have been proposed in the literature that…

材料科学 · 物理学 2015-12-10 Christoph Begau , Godehard Sutmann , Alexander Hartmaier

We use the method of dimensional reduction to show that a branching polymer with excluded volume interaction confined between two flat plates has, in the thermodynamic limit, a confinement free energy and density profile that is the same as…

统计力学 · 物理学 2009-11-13 Rouzbeh Ghafouri , Joseph Rudnick , Robijn Bruinsma

We use molecular dynamics simulations to study a semidilute, unentangled polymer solution containing well dispersed, weakly attractive nanoparticles (NP) of size ($\sigma_N$) smaller than the polymer radius of gyration $R_g$. We find that…

软凝聚态物质 · 物理学 2018-09-18 Valerio Sorichetti , Virginie Hugouvieux , Walter Kob

This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechanical viscoelasticity of the polymer as well as due to…

经典物理 · 物理学 2015-02-10 Prashant Saxena , Duc Khoi Vu , Paul Steinmann

An technique is extended to estimate some critical exponents without using the expansion over the coupling constant. The data obtained is in a agreement with those found by help of the 2D Onsager method or with recent 3D results. In the…

统计力学 · 物理学 2007-05-23 Andrei N. Yakunin

When two macromolecules come very near in a fluid, the surrounding molecules, having finite volume, are less likely to get in between. This leads to a pressure difference manifesting as an entropic attraction, called depletion force. Here…

软凝聚态物质 · 物理学 2020-02-26 Nathaniel Rupprecht , Dervis Can Vural

In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surfaces materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a…

流体动力学 · 物理学 2024-01-19 Anne Boschman , Luis Espath , Kris van der Zee