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Using Onsager variational principle, we study the dynamic coupling between the stress and the composition in polymer solution. In the original derivation of the two-fluid model [Doi and Onuki, J. Phys. II France {\bf 2}, 1631 (1992)], the…

Soft Condensed Matter · Physics 2023-03-14 Jiajia Zhou , Masao Doi

We consider the Nambu-Goto bosonic string model as a description of the physics of interfaces. By using the standard covariant quantization of the bosonic string, we derive an exact expression for the partition function in dependence of the…

High Energy Physics - Theory · Physics 2009-11-11 M. Billo , M. Caselle , L. Ferro

We calculate the self-energy and self-force for an electrically charged particle at rest in the background of Gott-Hiscock cosmic string space-time. We found the general expression for the self-energy which is expressed in terms of the $S$…

High Energy Physics - Theory · Physics 2009-11-07 N. R. Khusnutdinov , V. B. Bezerra

The physical motivations and the basic construction rules for Type I strings and M-theory compactifications are reviewed in light of the recent developments. The first part contains the basic theoretical ingredients needed for building…

High Energy Physics - Phenomenology · Physics 2010-04-06 Emilian Dudas

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy

We study the system of axion strings that forms in the early Universe if the Peccei-Quinn symmetry is restored after inflation. Using numerical simulations, we establish the existence of an asymptotic solution to which the system is…

High Energy Physics - Phenomenology · Physics 2018-08-15 Marco Gorghetto , Edward Hardy , Giovanni Villadoro

The equation of motion of an extended object in spacetime reduces to an ordinary differential equation in the presence of symmetry. By properly defining of the symmetry with notion of cohomogeneity, we discuss the method for classifying all…

General Relativity and Quantum Cosmology · Physics 2024-07-04 Tatsuhiko Koike , Hiroshi Kozaki , Hideki Ishihara

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as…

Analysis of PDEs · Mathematics 2020-01-08 Miroslav Bulíček , Eduard Feireisl , Josef Málek

Clapeyron's Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the boundary. We derive several new integral relations…

Mathematical Physics · Physics 2025-08-19 Yury Grabovsky , Lev Truskinovsky

We investigate infinite strings in $(2+1)D$ space-time, which may be considered as excitations of straight lines on the spatial plane. We also propose the hamiltonian description of such objects that differs from the standard hamiltonian…

Mathematical Physics · Physics 2012-02-13 S. V. Talalov

This is mainly a brief review of some key achievements in a `hot'' area of theoretical and mathematical physics. The principal aim is to outline the basic structures underlying {\em integrable} quantum field theory models with {\em…

High Energy Physics - Theory · Physics 2008-02-03 Emil Nissimov , Svetlana Pacheva

Simple derivation of the Hamilton-Jacobi equation for bosonic strings and p-branes is given. The motion of classical strings and p-branes is described by two and p+1 local fields, respectively. A variety of local field equations which…

High Energy Physics - Theory · Physics 2009-10-31 Yutaka Hosotani , Ryuichi Nakayama

We study the formation of gravitating global strings through quantum mechanical tunneling. The instantons that describe the nucleation process are characterized by two parameters: the string core thickness and its gravitational backreaction…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Jose J. Blanco-Pillado , Georgios Fanaras , Alexander Vilenkin

The low-energy (bosonic "heterotic") string theory is interpreted as a universal limit of the Kaluza-Klein reduction when the dimension of an internal space goes to infinity. We show that such an approach is helpful in obtaining classical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tekin Dereli , Yuri N. Obukhov

In this letter, we analyze the evolution of physical quantities due to the interaction of strings with background fields. We will obtain the characteristic function for such a string theoretical process. This will be done by generalizing…

High Energy Physics - Theory · Physics 2022-09-21 Salman Sajad Wani , Arshid Shabir , Mir Faizal , Seemin Rubab

We describe an asymptotic procedure for deriving continuum equations from the kinetic theory of a simple gas. As in the works of Hilbert, of Chapman and of Enskog, we expand in the mean flight time of the constituent particles of the gas,…

Astrophysics · Physics 2009-11-06 Xinzhong Chen , Hongling Rao , Edward A. Spiegel

Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general…

High Energy Physics - Theory · Physics 2007-05-23 D. Aleksandrova , P. Bozhilov

We implement adaptive mesh refinement (AMR) simulations of global topological strings using the public numerical relativity code, GRChombo. We perform a quantitative investigation of the dynamics of single sinusoidally displaced string…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-28 Amelia Drew , E. P. S. Shellard

This is a short review on strings in curved spacetimes. We start by recalling the classical and quantum string behaviour in singular plane waves backgrounds. We then report on the string behaviour in cosmological spacetimes (FRW, de Sitter,…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega

String theory is canonically accompanied with a space-time interpretation which determines S-matrix-like observables, and connects to the standard physics at low energies in the guise of local effective field theory. Recently, we have…

High Energy Physics - Theory · Physics 2015-03-02 Laurent Freidel , Robert G. Leigh , Djordje Minic