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A generalized self-consistent field approach for polymer networks with fixed topology is developed. It is shown that the theory reproduces the localization of crosslinks which is characteristic for gels. The theory is then used to study the…

软凝聚态物质 · 物理学 2015-06-17 Friederike Schmid

Self-assembling, semi-flexible polymers are ubiquitous in biology and technology. However, there remain conflicting accounts of the equilibrium kinetics for such an important system. Here, by focusing on a dynamical description of a minimal…

软凝聚态物质 · 物理学 2018-07-17 Chiu Fan Lee

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

软凝聚态物质 · 物理学 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

概率论 · 数学 2015-06-05 Frank den Hollander , Alex A. Opoku

Using the path probability and lowest approximation of cluster variation method, we study the dynamic and equilibrium properties of a bilayer magnetic system, consisting of two ferromagnetic monolayers antiferromagnetically coupled for…

统计力学 · 物理学 2024-01-18 C. Ekiz , R. Erdem , D. Semet

Confinement is a versatile and well-established tool to study the properties of polymers either to understand biological processes or to develop new nano-biomaterials. We investigate the conformations of a semiflexible polymer ring in weak…

软凝聚态物质 · 物理学 2010-06-25 Katja Ostermeir , Karen Alim , Erwin Frey

While superconductors are conventionally established by attractive interactions, higher-temperature mechanisms for emergent electronic pairing from strong repulsive electron-electron interactions remain under considerable scrutiny. Here, we…

强关联电子 · 物理学 2024-08-07 Clara S. Weber , Dominik Kiese , Dante M. Kennes , Martin Claassen

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

概率论 · 数学 2012-04-06 Frank den Hollander , Nicolas Pétrélis

We review the physical properties of macromolecular networks, consisting of semiflexible polymers such as actin. We start by giving a theoretical analysis of the conformational statistics and mechanical response of single filaments.…

软凝聚态物质 · 物理学 2008-02-03 Erwin Frey , Klaus Kroy , Jan Wilhelm , Erich Sackmann

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

统计力学 · 物理学 2023-01-03 Sudip Mukherjee , Abhik Basu

We analyze the quantum states of an isolated composite system consisting of two stacked quantum Ising (SQI) subsystems, coupled by a local Hamiltonian term that preserves the $Z_2$ symmetry of each subsystem. The coupling strength is…

统计力学 · 物理学 2026-04-23 Davide Rossini , Ettore Vicari

In the self-assembly process which drives the formation of cellular membranes, micelles, and capsids, a collection of separated subunits spontaneously binds together to form functional and more ordered structures. In this work, we study the…

生物物理 · 物理学 2021-05-04 Mobolaji Williams

We present a model for molecular materials made up of polar and polarizable molecular units. A simple two state model is adopted for each molecular site and only classical intermolecular interactions are accounted for, neglecting any…

材料科学 · 物理学 2009-11-10 Francesca Terenziani , Anna Painelli

The second-order phase transitions in the Ising model and liquid-gas systems share a universality class and critical exponents, despite the absence of $Z_2$ symmetry in the liquid-gas Hamiltonian. This discrepancy highlights a central…

统计力学 · 物理学 2025-12-10 Xinyang Li , Yuliang Jin

Conventional gas-liquid phase transitions feature a coexistence line that has a monotonic and positive slope in line with our intuition that cooling always leads to condensation. Here we study the inverse phenomenon, condensation of…

统计力学 · 物理学 2023-07-21 Joël A. K. L. Picard , T. Speck

Using a coarse-grained bead-spring model for semi-flexible macromolecules forming a polymer brush, structure and dynamics of the polymers is investigated, varying chain stiffness and grafting density. The anchoring condition for the grafted…

软凝聚态物质 · 物理学 2014-01-28 Andrey Milchev , Kurt Binder

Experimental mechanisms that yield the growth of homochiral copolymers over their heterochiral counterparts have been advocated by Lahav and co-workers. These chiral amplification mechanisms proceed through racemic {\beta}-sheet-controlled…

定量方法 · 定量生物学 2012-12-19 Celia Blanco , David Hochberg

We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

统计力学 · 物理学 2009-10-31 M. Mueller , E. V. Albano , K. Binder

A lattice model of the directed self-avoiding walk is used to estimate the possibility on the formation of an infinitely long linear semi-flexible copolymer chain. The copolymer chain is assumed to composed of four different types of the…

统计力学 · 物理学 2021-04-28 Pramod Kumar Mishra

Two ring polymers close to each other in space may be either in a segregated phase if there is a strong repulsion between monomers in the polymers, or intermingle in a mixed phase if there is a strong attractive force between the monomers.…

软凝聚态物质 · 物理学 2022-11-23 EJ Janse van Rensburg , E Orlandini , MC Tesi , SG Whittington