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A time domain system of equations is proposed to model elastic wave propagation in an unbounded two-dimensional anisotropic solid using perfectly matched layer (PML). Starting from a system of first-order frequency domain stress-velocity…

Computational Physics · Physics 2013-12-16 Hisham Assi , Richard S. C. Cobbold

Non-radial oscillation modes of neutron stars serve as diagnostics of their internal composition and relativistic structure. In this work, we investigate the perturbations of static and spherically symmetric neutron stars characterized by…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Jose F. Rodriguez-Ruiz , L. M. Becerra , F. D. Lora-Clavijo

We solve closed string theory in all regular homogeneous plane-wave backgrounds with homogeneous NS three-form field strength and a dilaton. The parameters of the model are constant symmetric and anti-symmetric matrices k_{ij} and f_{ij}…

High Energy Physics - Theory · Physics 2009-09-17 Matthias Blau , Martin O'Loughlin , George Papadopoulos , Arkady A. Tseytlin

We carry out a detailed analysis of a time dispersive dissipative (TDD) string, using our recently developed conservative and Hamiltonian extensions of TDD systems. This analysis of the TDD string includes, in particular: (i) an explicit…

Mathematical Physics · Physics 2009-04-24 Alexander Figotin , Jeffrey Schenker

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

It is shown that almost all known solutions of the kind mentioned in the title are easily derived in a unified manner when a simple ansatz is imposed on the metric. The Whittaker solution is an exception, replaced by a new solution with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

Recent experimental observation of inertial spin dynamics calls upon holistic reevaluation of the theoretical framework of magnetic resonance in ferromagnets. Here, we derive the secular equation of an inertial spin system in analogy to the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Mikhail Cherkasskii , Igor Barsukov , Ritwik Mondal , Michael Farle , Anna Semisalova

A novel efficient method to calculate the scattering matrix (SM) of arbitrary tight-binding Hamiltonians is proposed, including cases with multiterminal structures. In particular, the SM of two kind of fundamental structures are given,…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Carlos Ramirez , Luis A. Medina-Amayo

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances. The effectiveness of the method is demonstrated in two strongly coupled systems: an N=1 toy…

High Energy Physics - Theory · Physics 2019-07-26 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

The local and non-local vector Non-linear Schrodinger Equation (NLSE) with a general cubic non-linearity are considered in presence of a linear term characterized, in general, by a non-hermitian matrix which under certain condition…

Exactly Solvable and Integrable Systems · Physics 2022-09-29 Debdeep Sinha

Non-Hermitian systems exhibiting topological properties are attracting growing interest. In this work, we propose an algorithm for solving the ground state of a non-Hermitian system in the matrix product state (MPS) formalism based on a…

Quantum Physics · Physics 2022-10-27 Zhen Guo , Zheng-Tao Xu , Meng Li , Li You , Shuo Yang

This paper is devoted to evaluating exact anisotropic spherical solutions for static self-gravitating systems through extended geometric deformation decoupling technique. For this purpose, we consider an isotropic Tolman IV solution and…

General Relativity and Quantum Cosmology · Physics 2020-04-22 M. Sharif , Qanitah Ama-Tul-Mughani

A new numerical method is developed to approximate the solution of Laplace's equation in the exterior of the sphere with a strongly nonlinear boundary value of oblique type. A functional analysis attempt to solve this type of boundary…

Numerical Analysis · Mathematics 2025-06-30 Mriganka Shekhar Chaki , Maria C. Jorge

In this article, we analyse a stabilised equal-order finite element approximation for the Stokes equations on anisotropic meshes. In particular, we allow arbitrary anisotropies in a sub-domain, for example along the boundary of the domain,…

Numerical Analysis · Mathematics 2018-10-12 Stefan Frei

We confirm numerically that the Johnson-Segalman model is able to reproduce the continual oscillations of the falling sphere observed in some viscoelastic models. The empirical choice of parameters used in the Johnson-Segalman model is from…

Mathematical Physics · Physics 2012-09-11 Young-Ju Lee , Chen-Song Zhang

This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known probability distributions. The statistical uncertainty is measured in terms of relative…

Systems and Control · Computer Science 2015-03-19 Michael M. Tchaikovsky , Alexander P. Kurdyukov , Victor N. Timin

We consider the circular motion of test particles in the gravitational field of a rotating deformed object described by the Hartle-Thorne metric. This metric represents an approximate solution to the vacuum Einstein field equations,…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Yergali Kurmanov , Marco Muccino , Kuantay Boshkayev , Talgar Konysbayev , Orlando Luongo , Hernando Quevedo , Ainur Urazalina

We present a new hydro code based on spectral methods using spherical coordinates. The first version of this code aims at studying time evolution of inertial modes in slowly rotating neutron stars. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Villain , S. Bonazzola

The effect of rotation upon the classical two-layer Rayleigh-Taylor instability is considered theoretically and compared with previous experimental results. In particular we consider a two-layer system with an axis of rotation that is…

Fluid Dynamics · Physics 2016-03-03 Matthew M. Scase , Kyle A. Baldwin , Richard J. A. Hill