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The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connectivity surfaces. We first review the current theoretical…

High Energy Physics - Lattice · Physics 2009-10-28 M. J. Bowick , S. Catterall , M. Falcioni , G. Thorleifsson , K. Anagnostopoulos

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann

We investigate the dynamics of open membrane boundaries in a constant C-field background. We follow the analysis for open strings in a B-field background, and take some approximations. We find that open membrane boundaries do show…

High Energy Physics - Theory · Physics 2009-10-31 Shoichi Kawamoto , Naoki Sasakura

Starting from three-dimensional nonlinear elasticity under the restriction of incompressibility, we derive reduced models to capture the behavior of strings in response to external forces. Our $\Gamma$-convergence analysis of the…

Analysis of PDEs · Mathematics 2023-06-22 Dominik Engl , Carolin Kreisbeck

A coarse-grained molecular simulation approach originally developed for entangled polymeric liquids is extended to model the mechanical behavior of long-fiber networks. The model, based on the slip-link picture of chain entanglements,…

Soft Condensed Matter · Physics 2026-04-02 Yuichi Masubuchi

Certain frustrated systems, including spin ice and dimer models, exhibit a Coulomb phase at low temperatures, with power-law correlations and fractionalized monopole excitations. Transitions out of this phase, at which the effective gauge…

Statistical Mechanics · Physics 2012-08-09 Stephen Powell

We consider fluid wetting on a corrugated substrate using effective interfacial Hamiltonian theory and show that breaking the translational invariance along the wall can induce an 'unbending' phase transition in addition to unbinding. Both…

Soft Condensed Matter · Physics 2009-10-31 C. Rascon , A. O. Parry , A. Sartori

We consider bond percolation on the square lattice with perfectly correlated random probabilities. According to scaling considerations, mapping to a random walk problem and the results of Monte Carlo simulations the critical behavior of the…

Statistical Mechanics · Physics 2009-11-07 Róbert Juhász , Ferenc Iglói

Targeted drug delivery relies on two physical processes: the selective binding of a therapeutic particle to receptors on a specific cell membrane, followed by transport of the particle across the membrane. In this article, we address some…

Soft Condensed Matter · Physics 2021-04-16 Simon Merminod , John R. Edison , Huang Fang , Michael F. Hagan , W. Benjamin Rogers

Non-bonded potentials are included in most force fields and therefore widely used in classical molecular dynamics simulations of materials and interfacial phenomena. It is commonplace to truncate these potentials for computational…

Computational Physics · Physics 2017-10-04 Martin Fitzner , Laurent Joly , Ming Ma , Gabriele C Sosso , Andrea Zen , Angelos Michaelides

We analyze the unbinding transition for a two dimensional lattice polymer in which the constituent strands are mutually avoiding random walks. At low temperatures the strands are bound and form a single self-avoiding walk. We show that…

Statistical Mechanics · Physics 2008-12-18 Enrico Carlon , Marco Baiesi

Peripheral membrane proteins can reversibly and specifically bind to biological membranes to carry out functions such as cell signalling, enzymatic activity, or membrane remodelling. Structures of these proteins and of their lipid-binding…

Biological Physics · Physics 2023-11-14 Andreas Haahr Larsen , Laura H. John , Mark S. P. Sansom , Robin A. Corey

Current experimental and theoretical studies on the effect of intermolecular interactions on molecular conduction appear to be in conflict with each other. In particular, some experimental results, e.g., the observation of 2-dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-07-23 A. Landau , L. Kronik , A. Nitzan

The interaction of fluid membranes with a scaffold, which can be a planar surface or a more complex structure, is intrinsic to a number of systems - from artificial supported bilayers and vesicles to cellular membranes. In principle, these…

Soft Condensed Matter · Physics 2014-05-07 Daniel Schmidt , Cornelia Monzel , Timo Bihr , Rudolf Merkel , Udo Seifert , Kheya Sengupta , Ana-Sunčana Smith

We utilize a multiscale modeling framework to study the effect of shape, size and ligand composition on the efficacy of binding of a ligand-coated-particle to a substrate functionalized with the target receptors. First, we show how…

Soft Condensed Matter · Physics 2018-03-08 Matt McKenzie , Sung Min Ha , Aravind Rammohan , Ravi Radhakrishnan , N. Ramakrishnan

Rebinding kinetics of molecular ligands plays a critical role in biomachinery, from regulatory networks to protein transcription, and is also a key factor for designing drugs and high-precision biosensors.In this study, we investigate…

Biological Physics · Physics 2018-07-12 Aykut Erbas , Monica Olvera de la Cruz , John F. Marko

Entanglement patterns reveal essential information on many-body states and provide a way to classify quantum phases of matter. However, experimental studies of many-body entanglement remain scarce due to their unscalable nature. The present…

Quantum Physics · Physics 2025-10-06 Szczepan Głodzik , Kim Pöyhönen , Ali G. Moghaddam , Teemu Ojanen

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize…

Statistical Mechanics · Physics 2010-10-14 L. G. López , D. H. Linares , A. J. Ramirez-Pastor , S. A. Cannas

We develop an effective continuum description for information scrambling in a chain of randomly interacting Majorana fermions. The approach is based on the semiclassical treatment of the path integral for an effective spin chain that…

Statistical Mechanics · Physics 2026-01-30 Tobias Swann , Adam Nahum

The dynamics of superstring, supergravity and M theories and their compactifications are probed by studying the various perturbation theories that emerge in the strong and weak coupling limits for various directions in coupling constant…

High Energy Physics - Theory · Physics 2011-05-05 C. M. Hull
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