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We consider the evolution of circular string loops in power law expanding universes represented by a spatially flat Friedman-Robertson-Walker metric with scale factor $a(t)\propto t^p$ where $t$ is the cosmic time and $p\geq 0$. Our main…

高能物理 - 理论 · 物理学 2009-10-22 A. L. Larsen , Minos Axenides

We study a model describing the force-extension curves of modular proteins, nucleic acids, and other biomolecules made out of several single units or modules. At a mesoscopic level of description, the configuration of the system is given by…

统计力学 · 物理学 2016-10-19 L. L. Bonilla , A. Carpio , A. Prados

We investigate {\bf explicit} universal estimate of finite Morse index solutions to polyharmonic equations. \,Differently to previous works \cite{BL2, DDF, fa, H1}, propose here a direct proof using a new interpolation inequality and a…

偏微分方程分析 · 数学 2024-01-23 Abdellaziz Harrabi

We study the interactions of Maldacena's long folded strings in two-dimensional string theory. We find the amplitude for a state containing two long folded strings to come and go back to infinity. We calculate this amplitude both in the…

高能物理 - 理论 · 物理学 2008-11-26 J. -E. Bourgine , K. Hosomichi , I. Kostov , Y. Matsuo

Strong-coupling expansions, to order $(t/J)^8$, are derived for the Kondo lattice model of strongly correlated electrons, in 1-, 2- and 3- dimensions at arbitrary temperature. Results are presented for the specific heat, and spin and charge…

强关联电子 · 物理学 2016-08-31 J. Oitmaa , W. Zheng

The main problem of inflation in string theory is finding the models with a flat potential, consistent with stabilization of the volume of the compactified space. This can be achieved in the theories where the potential has (an approximate)…

高能物理 - 理论 · 物理学 2009-11-10 Jonathan P. Hsu , Renata Kallosh

Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by physicists, concrete conjectures were formulated by Ferrari and…

概率论 · 数学 2025-08-08 Riddhipratim Basu , Timo Seppäläinen , Xiao Shen

There are exactly two maximal schematic extensions of the relevant logic R with the variable sharing property. We establish that one of them has a strong form of interpolation for deducibility, thereby giving an example of a well-known…

逻辑 · 数学 2025-12-01 Wesley Fussner , Andrew Tedder

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas-Fermi approach to relativistic mean field theory. We…

核理论 · 物理学 2010-12-23 S. K. Patra , X. Vinas , M. Centelles , M. Del Estal

We study the dynamical response of a single semiflexible polymer chain based on the theory developed by Hallatschek et al. for the wormlike-chain model. The linear viscoelastic response under oscillatory forces acting at the two chain ends…

软凝聚态物质 · 物理学 2009-11-03 T. Hiraiwa , T. Ohta

We introduce a diagrammatic formulation for a cavity field expansion around the critical temperature. This approach allows us to obtain a theory for the overlap's fluctuations and, in particular, the linear part of the Ghirlanda-Guerra…

无序系统与神经网络 · 物理学 2007-05-23 Adriano Barra

We consider a stiff polymer chain in poor solvent and apply a force at one end of the chain. We find that by varying the stiffness parameter, polymer undergoes a transition from the globule state to the folded like state. The conformation…

软凝聚态物质 · 物理学 2015-05-13 Sanjay Kumar , Debaprasad Giri

We extend the work by Mastroianni and Szabados regarding the barycentric interpolant introduced by J.-P. Berrut in 1988, for equally spaced nodes. We prove fully their first conjecture and present a proof of a weaker version of their second…

数值分析 · 数学 2018-12-11 Walter F. Mascarenhas

We consider K-interpolation methods involving slowly varying functions. Let $\overline{A}_{\theta,*}^{\mathcal{L}}$ and $\overline{A}_{\theta,*}^{\mathcal{R}}$ $(0\leq\theta\leq1)$ be the so called ${\mathcal{L}}$ or ${\mathcal{R}}$…

泛函分析 · 数学 2022-01-17 Leo R. Ya. Doktorski , Pedro Fernández-Martínez , Teresa M. Signes

Precipitation of fine particles into the base material of a metal is a potent strengthening mechanism. This is numerically analyzed within a continuum framework based on a higher order strain gradient plasticity theory and by use of an…

材料科学 · 物理学 2021-06-17 Mohammadali Asgharzadeh , Jonas Faleskog

Analytic interpolation problems with rationality and derivative constraints are ubiquitous in systems and control. This paper provides a new method for such problems, both in the scalar and matrix case, based on a non-standard Riccati-type…

最优化与控制 · 数学 2021-07-27 Yufang Cui , Anders Lindquist

Some remarks on the jump condition appearing in Theorems 1.1 and 1.2 in the article [1] and their implications are given.

偏微分方程分析 · 数学 2023-07-04 Masaru Ikehata

We simulate structural phase behavior of polymer-grafted colloidal particles by molecular Monte Carlo technique. Interparticle potential, which has a finite repulsive square-step outside a rigid core of the colloid, was previously confirmed…

软凝聚态物质 · 物理学 2015-03-19 Yuki Norizoe , Toshihiro Kawakatsu

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

统计力学 · 物理学 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

计算物理 · 物理学 2016-04-27 James T. Waters , Harold D. Kim