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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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Probability · Mathematics 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…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 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…

Strongly Correlated Electrons · Physics 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…

Probability · Mathematics 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.…

Soft Condensed Matter · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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…

Biological Physics · Physics 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…

Materials Science · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 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…

Quantitative Methods · Quantitative Biology 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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.…

Soft Condensed Matter · Physics 2022-11-23 EJ Janse van Rensburg , E Orlandini , MC Tesi , SG Whittington