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We compute by numerical transfer-matrix methods the surface free energy $\tau(T),$ the surface stiffness coefficient $\kappa(T),$ and the single-step free energy $s(T)$ for Ising ferromagnets with $(\infty \times L)$ square-lattice and…

Condensed Matter · Physics 2009-10-22 Howard L. Richards , M. A. Novotny , Per Arne Rikvold

The presence of celestial companions means that any planet may be subject to three kinds of harmonic mechanical forcing: tides, precession/nutation, and libration. These forcings can generate flows in internal fluid layers, such as fluid…

Earth and Planetary Astrophysics · Physics 2012-03-12 David Cébron , Michael Le Bars , Claire Moutou , Patrice Le Gal

Wavefunction effects in uncorrelated systems are characterized by the Berry curvature and quantum metric. Beyond those, we propose gauge-independent tensors describing Bloch wavefunction effects on local interaction between correlated…

Quantum Gases · Physics 2024-09-12 Yeyang Zhang

The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitational potential. This wave-mechanical representation…

Astrophysics · Physics 2009-11-07 Peter Coles , Kate Spencer

We combine two different fields, topological physics and graded metamaterials to design a topological metasurface to control and redirect elastic waves. We strategically design a two-dimensional crystalline perforated elastic plate, using a…

Applied Physics · Physics 2020-11-23 Bogdan Ungureanu , Mehul P. Makwana , Richard V. Craster , Sebastien Guenneau

Spin-orbit coupling is often described in the "MacDonald torque" approach which has become the textbook standard. Within this method, a concise expression for the additional tidal potential, derived by MacDonald (1964; Rev. Geophys. 2,…

Earth and Planetary Astrophysics · Physics 2013-01-22 James G. Williams , Michael Efroimsky

Topological modes (TMs) are usually localized at defects or boundaries of a much larger topological lattice. Recent studies of non-Hermitian band theories unveiled the non-Hermitian skin effect (NHSE), by which the bulk states collapse to…

Applied Physics · Physics 2022-08-05 Wei Wang , Xulong Wang , Guancong Ma

The global topology of the Universe can affect long-range gravitational forces via boundary conditions. Detailed studies of non-trivial topologies require simulations that natively adopt such geometries. Cosmological $N$-body simulations…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Gábor Rácz , Viola H. Varga , Balázs Pál , István Szapudi , István Csabai , Till Sawala

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

This study investigates the spatial confinement of topological $\pi$-modes in one-dimensional chiral-symmetric systems. In conventional periodic and quasiperiodic structures, edge-mode wave functions inevitably penetrate the bulk. To…

Disordered Systems and Neural Networks · Physics 2026-04-01 Fumitatsu Iwase

Topological materials for classical waves offer remarkable potential in applications such as sensing, waveguiding and signal processing, leveraging topological protection effects like strong robustness, immunity to backscattering and…

Applied Physics · Physics 2025-03-11 Gang-Gang Xu , Xiao-Shuang Li , Tian-Xue Ma , Xi-Xian Liu , Xiao-Wei Sun , Yue-Sheng Wang

We consider the problem of reconstructing the seabed topography from observations of surface gravity waves. We formulate the problem as a classical inverse scattering problem using the mild-slope equation, and analyze the topographic…

Analysis of PDEs · Mathematics 2026-03-30 Adrian Kirkeby

Motivated by numerical schemes for large scale geophysical flow, we consider the rotating shallow water and Boussinesq equations on the whole space with horizontal kinetic energy backscatter source terms built from negative viscosity and…

Fluid Dynamics · Physics 2022-03-08 Artur Prugger , Jens D. M. Rademacher , Jichen Yang

We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain…

Numerical Analysis · Mathematics 2018-12-26 Longfei Gao , David Keyes

We resum the non-equilibrium gradient corrections to a single-particle distribution function evolved by the Boltzmann equation in the relaxation time approximation (RTA). We first study a system undergoing Bjorken expansion and show that,…

Nuclear Theory · Physics 2020-05-13 Mike McNelis , Ulrich Heinz

Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group gauge interaction in the Grand Unification…

High Energy Physics - Theory · Physics 2022-02-02 Juven Wang

Symmetry-protected topological edge modes are one of the most remarkable phenomena in topological physics. Here, we formulate and quantitatively examine the effect of a quantum bath on these topological edge modes. Using the density matrix…

Strongly Correlated Electrons · Physics 2021-06-11 Zijian Wang , Qiaoyi Li , Wei Li , Zi Cai

Starting from the hydrostatic Boussinesq equations, we derive a time-averaged `hydrostatic wave equation' that describes the propagation of inertia-gravity internal waves through quasi-geostrophic flow. The derivation uses a…

Fluid Dynamics · Physics 2017-10-11 Gregory L. Wagner , Gwenael Ferrando , William R. Young

We present an analysis of the relaxation dynamics of finite-size topological qubits in contact with a thermal bath. Using a continuous-time Monte Carlo method, we explicitly compute the low-temperature nonequilibrium dynamics of the toric…

Statistical Mechanics · Physics 2014-12-08 C. Daniel Freeman , C. M. Herdman , Dylan J Gorman , K. B. Whaley

In a recent article, Kleidis and Spyrou (2015) proposed that both dark matter (DM) and dark energy (DE) can be treated as a single component, if accommodated in the context of a polytropic DM fluid with thermodynamical content. Depending…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-25 Kostas Kleidis , Nikolaos K. Spyrou
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