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We introduce an efficient, scalable Monte Carlo algorithm to simulate cross-linked architectures of freely-jointed and discrete worm-like chains. Bond movement is based on the discrete tractrix construction, which effects conformational…

Soft Condensed Matter · Physics 2010-12-27 Henry E. Amuasi , Cornelis Storm

The deep imaging of the field of an observed lensing event by a cosmic string reveals many additional lensing events. We study the statistics of such string lensing. We derive explicit expressions for the distributions of image separations…

Astrophysics · Physics 2009-11-13 Masamune Oguri , Keitaro Takahashi

Using a world-sheet covariant formalism, we derive the equations of motion for second order perturbations of a generic macroscopic string, thus generalizing previous results for first order perturbations. We give the explicit results for…

High Energy Physics - Theory · Physics 2009-10-31 A. L. Larsen , A. Nicolaidis

We extend the work done for cosmic strings on the perturbative calculation of vacuum polarization of a massless field in the space-time of multiple cosmic strings and show that for a more general class of locally flat metrics the one loop…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Hortacsu , N. Ozdemir

We present a dynamical and dissipative lattice model, designed to mimic nuclear multifragmentation. Monte-Carlo simulations with this model show clear signature of critical behaviour and reproduce experimentally observed correlations. In…

Statistical Mechanics · Physics 2009-10-31 J. S. Sa' Martins , P. M. C. de Oliveira

We investigate the evolution of infinite strings as a part of a complete cosmic string network in flat space. We perform a simulation of the network which uses functional forms for the string position and thus is exact to the limits of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Vitaly Vanchurin , Ken Olum , Alexander Vilenkin

Context. Cosmic voids are vast underdense regions in the cosmic web that encode crucial information about structure formation, the composition of the Universe, and its expansion history. Due to their lower density, these regions are less…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 M. D. Lepinzan , C. T. Davies , T. Castro , N. Schuster , J. Mohr , P. Monaco

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

We study cosmological solutions to the low-energy effective action of heterotic string theory including possible leading order $\alpha'$ corrections and a potential for the dilaton. We consider the possibility that including such stringy…

High Energy Physics - Theory · Physics 2007-05-23 Damien A. Easson

The aim of this paper is to develop a general method for constructing approximation schemes for viscosity solutions of fully nonlinear pathwise stochastic partial differential equations, and for proving their convergence. Our results apply…

Analysis of PDEs · Mathematics 2019-11-01 Benjamin Seeger

A model of a cloud formed by massive strings is used as a source of LRS Bianchi type II with time decaying vacuum energy density $\Lambda$. To construct string cosmological models we have used the energy-momentum tensor for such string as…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-29 Hassan Amirhashchi

We propose a fast and general predecision scheme for Metropolis Monte Carlo simulation of $d$-dimensional long-range interacting lattice models. For potentials of the form $V(r)=r^{-d-\sigma}$, this reduces the computational complexity from…

Statistical Mechanics · Physics 2025-08-14 Fabio Müller , Wolfhard Janke

This paper develops a unified general framework for designing convergent finite difference and discontinuous Galerkin methods for approximating viscosity and regular solutions of fully nonlinear second order PDEs. Unlike the well-known…

Numerical Analysis · Mathematics 2022-02-28 Xiaobing Feng , Thomas Lewis , Kellie Ward

Fractals and multifractals and their associated scaling laws provide a quantification of the complexity of a variety of scale invariant complex systems. Here, we focus on lattice multifractals which exhibit complex exponents associated with…

Statistical Mechanics · Physics 2009-04-14 W. -X. Zhou , D. Sornette

Cosmic strings are predicted in many models beyond the Standard Model of particle physics. In models which admit strings, a network of strings will inevitably be formed in a phase transition in the early universe and will persist to the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Robert H. Brandenberger

We examine the physical basis for algorithms to replace mixing-length theory (MLT) in stellar evolutionary computations. Our 321D procedure is based on numerical solutions of the Navier-Stokes equations. These implicit large eddy…

Solar and Stellar Astrophysics · Physics 2015-08-19 W. David Arnett , Casey Meakin , Maxime Viallet , Simon W. Campbell , John Lattanzio , Miroslav Mocák

We consider the possible existence of gravitationally bound stringlike objects in the framework of the generalized hybrid metric-Palatini gravity theory, in which the gravitational action is represented by an arbitrary function of the Ricci…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Hilberto M. R. da Silva , Tiberiu Harko , Francisco S. N. Lobo , João Luís Rosa

Line discontinuities in cosmic microwave background anisotropy maps are a distinctive prediction of models with cosmic strings. These signatures are visible in anisotropy maps with good angular resolution and should be identifiable using…

Astrophysics · Physics 2009-06-23 Stephen Amsel , Joshua Berger , Robert H. Brandenberger

The technique of complex scaling for time harmonic wave type equations relies on a complex coordinate stretching to generate exponentially decaying solutions. In this work, we use a Galerkin method with ansatz functions with infinite…

Numerical Analysis · Mathematics 2019-07-24 Lothar Nannen , Markus Wess

We show that the existence of cosmic strings can be strongly constrained by the next generation of gravitational lensing surveys at radio frequencies. We focus on cosmic string loops, which simulations suggest would be far more numerous…

Astrophysics · Physics 2008-11-26 Katherine J. Mack , Daniel H. Wesley , Lindsay J. King
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