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We study the $h$- and $p$-versions of non-conforming harmonic virtual element methods (VEM) for the approximation of the Dirichlet-Laplace problem on a 2D polygonal domain, providing quasi-optimal error bounds. Harmonic VEM do not make use…

Numerical Analysis · Mathematics 2018-07-30 Lorenzo Mascotto , Ilaria Perugia , Alexander Pichler

This paper presents the Virtual Element Method (VEM) for the modeling of crack propagation in 2D within the context of linear elastic fracture mechanics (LEFM). By exploiting the advantage of mesh flexibility in the VEM, we establish an…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Vien Minh Nguyen-Thanh , Xiaoying Zhuang , Hung Nguyen-Xuan , Timon Rabczuk , Peter Wriggers

Standard Virtual Element Methods (VEM) are based on polynomial projections and require a stabilization term to evaluate the contribution of the non-polynomial component of the discrete space. However, the stabilization term is not uniquely…

Numerical Analysis · Mathematics 2026-03-10 Paola Pia Foligno , Daniele Boffi , Fabio Credali , Riccardo Vescovini

The intramolecular vibrational relaxation dynamics of formic acid and its deuterated isotopologues is simulated on the full-dimensional potential energy surface of Richter and Carbonniere [F. Richter and P. Carbonniere, J. Chem. Phys., 148,…

Chemical Physics · Physics 2022-07-20 Antoine Aerts , Alex Brown , Fabien Gatti

We introduce the variable coherence model (VCM) for simulating free-electron laser (FEL) pulses generated through self-amplified spontaneous emission. Building on the established partial coherence model of [T. Pfeifer et. al, Opt. Lett. 35,…

Optics · Physics 2026-04-23 Austin Bartunek , Nils H. Sommerfeld , Francois Mauger

Heat dissipation is ubiquitous in living systems, which constantly convert distinct forms of energy into each other. The transport of thermal energy in liquids and even within proteins is well understood but kinetic energy transfer across a…

Soft Condensed Matter · Physics 2026-01-07 Brandon Neff , Matthias Heyden

We study the relaxation dynamics of laser-excited non-equilibrium electron distributions in the valence- and conduction band of a dielectric. We apply Boltzmann collision integrals to trace the influence of different scattering mechanisms…

Statistical Mechanics · Physics 2023-04-28 Nils Brouwer , Steffen Hirtle , Baerbel Rethfeld

We consider collective motion and damping of dipolar Fermi gases in the hydrodynamic regime. We investigate the trajectories of collective oscillations -- here dubbed ``weltering'' motions -- in cross-dimensional rethermalization…

Quantum Gases · Physics 2023-06-02 Reuben R. W. Wang , John L. Bohn

We propose a scheme for direct laser deceleration of molecules based on a vibrational transition-mediated bichromatic force (VBCF). By precisely engineering mid-infrared optical fields, we establish coherent absorption-stimulated emission…

Atomic Physics · Physics 2026-05-20 Meng-Yi Yu , Ya-Nan Lv , Cun-Feng Cheng , Shui-Ming Hu

This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features.…

Numerical Analysis · Mathematics 2025-12-29 Yanpeng Gong , Sishuai Li , Fei Qin , Bingbing Xu

We present the detailed study of the thermodynamics of vibrational modes in disordered elastic systems such as the Bragg glass phase of lattices pinned by quenched impurities. Our study and our results are valid within the (mean field)…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Thierry Giamarchi , Pierre Le Doussal

Vibrational spectroscopy is a powerful technique to characterize the near-equilibrium dynamics of molecules in the gas- and the condensed-phase. This contribution summarizes efforts from computer-based methods to gain insight into the…

Chemical Physics · Physics 2022-04-15 Markus Meuwly

In this work, we investigate the melting of charmonium states within a holographic QCD model in the context of Einstein-Maxwell-Dilaton (EMD) theory. In the dual field theory, the model describes the heavy mesons inside a finite temperature…

High Energy Physics - Phenomenology · Physics 2022-07-13 Luis A. H. Mamani , Defu Hou , Nelson R. F. Braga

This article presents a priori error estimates of the miscible displacement of one compressible fluid by another in a porous medium. The study utilizes the $H(\rm div)$ conforming virtual element method (VEM) for the approximation of the…

Numerical Analysis · Mathematics 2024-05-13 Sarvesh Kumar , Devika Shylaja

We have developed a formulation of density functional perturbation theory for the calculation of vibrational frequencies in molecules and solids, which uses numerical atomic orbitals as a basis set for the electronic states. The (harmonic)…

Materials Science · Physics 2007-05-23 J. M. Pruneda , S. K. Estreicher , J. Junquera , J. Ferrer , P. Ordejon

Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Xingyu Guo , Hongxi Xing , Zheng-Yuan Xue , Dan-Bo Zhang , Shi-Liang Zhu

We have developed a novel scanning probe-based methodology to study cell biomechanics. The time dependence of the force exerted by the cell surface on a scanning probe at constant local deformation has been used to extract local…

Biological Physics · Physics 2009-04-20 Susana Moreno-Flores , Rafael Benitez , Maria dM Vivanco , Jose Luis Toca-Herrera

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

Chaotic Dynamics · Physics 2016-09-08 F. Piazza , S. Lepri , R. Livi

We study the relaxation towards thermodynamical equilibrium of a 1-D gravitational system. This OSC model shows a series of critical energies $E_{cn}$ where new equilibria appear and we focus on the homogeneous ($n=0$), one-peak ($n=\pm 1$)…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Within a 2-D scattering model, we investigate the vibrational relaxation of an idealized molecule colliding with a metal surface. Two perturbative nonadiabatic dynamics schemes are compared: $(i)$ electronic friction (EF) and $(ii)$…

Chemical Physics · Physics 2018-01-17 Gaohan Miao , Wenjie Dou , Joseph Eli Subotnik