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Turbulent thermal convection governs heat transport in systems ranging from stellar interiors to industrial heat exchangers. Two-dimensional Rayleigh-B\'enard convection serves as a paradigm for these flows, reproducing key features such as…

We propose to model the topology of three-dimensional (3D) continua by Yin sets, regular open semianalytic sets with bounded boundary. Our model differs from manifold-based models in that singular points of a 3D continuum, i.e., boundary…

几何拓扑 · 数学 2025-12-11 Hao Liang , Yunhao Qiu , Yan Tan , Qinghai Zhang

This paper presents an isogeometric finite element formulation for nonlinear beams with impenetrability constraints, based on the kinematics of Cosserat rods with unconstrained directors. The beam cross-sectional deformation is represented…

数值分析 · 数学 2022-08-10 Myung-Jin Choi , Sven Klinkel , Roger A. Sauer

Magnetic reconnection, a fundamental plasma process, is pivotal in understanding energy conversion and particle acceleration in astrophysical systems. While extensively studied in two-dimensional (2D) configurations, the dynamics of…

等离子体物理 · 物理学 2025-08-05 Vinay Kumar , Pallavi Bhat

We develop an automated computational modeling framework for rapid gradient-based design of multistable soft mechanical structures composed of non-identical bistable unit cells with appropriate geometric parameterization. This framework…

数值分析 · 数学 2023-09-12 Mehran Mirramezani , Deniz Oktay , Ryan P. Adams

Controlling the coupling between different degrees of freedom in many-body systems is a powerful technique for engineering novel phases of matter. We create a bilayer system of two-dimensional (2D) ultracold Bose gases and demonstrate the…

We study the crossover of a finite one-dimensional (1D) bosonic ensemble from weak to strong interactions in harmonic traps and multi-well potentials. Although these systems are very common in experimental setups and have been studied…

量子物理 · 物理学 2015-06-11 Ioannis Brouzos , Fotios K. Diakonos , Peter Schmelcher

We study the dynamics of a two-field scalar model consisting of an axion-saxion pair with both kinetic and potential couplings, as motivated by string theory compactifications. We extend the dynamical systems (DS) toolkit by introducing a…

高能物理 - 理论 · 物理学 2026-04-21 Daniele Licciardello , Saba Rahimy , Ivonne Zavala

We rigorously derive an effective bending model for elastoplastic rods starting from three-dimensional finite plasticity. For the derivation we lean on a framework of evolutionary $\Gamma$-convergence for rate-independent systems. The main…

偏微分方程分析 · 数学 2024-09-16 Stefan Neukamm , Kai Richter

This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body and its mooring lines. The coupled numerical model is…

数值分析 · 数学 2026-01-21 Amirhossein Taran , Seevani Bali , Zeljko Tukovic , Vikram Pakrashi , Philip Cardiff

In this paper we construct energy based numerical methods free of ghost forces in three dimensional lattices arising in crystalline materials. The analysis hinges on establishing a connection of the coupled system to conforming finite…

数值分析 · 数学 2012-12-03 Charalambos Makridakis , Dimitrios Mitsoudis , Phoebus Rosakis

This paper presents a total Lagrangian mixed Petrov-Galerkin finite element formulation that provides a computationally efficient approach for analyzing Cosserat rods that is free of singularities and locking. To achieve a singularity-free…

In this study, we explored the magnetic coupling in a multilayer system consisting of thin layers separated by a distance $d$. We have employed Monte Carlo (MC) simulations to calculate the thermodynamic quantities such as the magnetization…

统计力学 · 物理学 2024-12-23 L. O. Souza , R. A. Dumer , M. Godoy

Direct numerical simulation of microscale fluid--structure interactions in multicomponent and multiphase flows requires methods that can represent moving boundaries together with fields constrained to evolving interfaces. Diffuse-domain…

生物物理 · 物理学 2026-05-14 Xinpeng Xu

A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then…

核理论 · 物理学 2007-05-23 J. P. Draayer , V. G. Gueorguiev , Feng Pan , Yanan Luo

The bi-continuum model composed of two interpenetrating and dynamically coupled material continua is analysed as a simplified but relatively accurate way to describe some physical phenomena in crystalline solids. The essential novelty of…

材料科学 · 物理学 2007-05-23 M. Sztyren

We derive a mixed-dimensional 3D-1D formulation of the electrostatic equation in two domains with different dielectric constants to compute, with an affordable computational cost, the electric field and potential in the relevant case of…

数值分析 · 数学 2024-10-07 Beatrice Crippa , Anna Scotti , Andrea Villa

A mechanical model and numerical method for structural membranes implied by all isosurfaces of a level-set function in a three-dimensional bulk domain are proposed. The mechanical model covers large displacements in the context of the…

计算工程、金融与科学 · 计算机科学 2023-08-02 Thomas-Peter Fries , Michael W. Kaiser

The common model to describe exciton-plasmon interaction phenomenologically is the coupled oscillator model. Originally developed for atomic systems rather than solid-state matter, this model treats both excitons and plasmons as single…

介观与纳米尺度物理 · 物理学 2024-10-23 Lara Greten , Robert Salzwedel , Diana Schutsch , Andreas Knorr

Two-dimensional (2D) graphene-like layered semiconductors provide a new platform for materials research because of their unique mechanical, electronic and optical attributes. Their in-plane covalent bonding and dangling-bond-free surface…

材料科学 · 物理学 2018-08-29 Zhiming Shi , Xinjiang Wang , Yuanhui Sun , Yawen Li , Lijun Zhang