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This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consistent definitions for fractional-order kinematic relations,…

计算工程、金融与科学 · 计算机科学 2021-02-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Aerodynamic shape optimization (ASO) involves finding an optimal surface while constraining a set of nonlinear partial differential equations (PDE). The conventional approaches use quasi-Newton methods operating in the reduced-space, where…

最优化与控制 · 数学 2020-11-30 Doug Shi-Dong , Siva Nadarajah

The concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible kinematical states of the particle are just kinematical modifications of any one of them. The way of describing…

综合物理 · 物理学 2007-05-23 Martin Rivas

The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the…

量子气体 · 物理学 2020-05-26 L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , H. -X. Yang , T. Tian , Y. Xu , L. -M. Duan

Dynamic Complexity studies the maintainability of queries with logical formulas in a setting where the underlying structure or database changes over time. Most often, these formulas are from first-order logic, giving rise to the dynamic…

计算机科学中的逻辑 · 计算机科学 2019-10-16 Jonas Schmidt , Thomas Schwentick , Nils Vortmeier , Thomas Zeume , Ioannis Kokkinis

We describe an efficient and parsimonious matrix-based theory for studying the ensemble behavior of self-propellers and active swimmers, such as nanomotors or motile bacteria, that are typically studied by differential-equation-based…

软凝聚态物质 · 物理学 2014-09-11 Amir Nourhani , Paul E. Lammert , Ali Borhan , Vincent H. Crespi

In this study we derive a single-particle equation of motion, from first-principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential.…

统计力学 · 物理学 2015-05-14 Ludvig Lizana , Tobias Ambjornsson , Alessandro Taloni , Eli Barkai , Michael A. Lomholt

A semiclassical model, based on a solution of the Vlasov equation for finite systems with moving-surface, is employed to study the isoscalar dipole modes in nuclei. It is shown that, by taking into account the surface degree of freedom, it…

核理论 · 物理学 2009-11-07 V. I. Abrosimov , A. Dellafiore , F. Matera

We develop a real-space first-principles method based on density functional theory to investigate orbitronic phenomena in complex materials. Using the Real-Space Linear Muffin-Tin Orbital method within the Atomic Sphere Approximation…

We apply the Dirac procedure for constrained systems to the Arnowitt-Deser-Misner formalism linearized around the Friedmann-Lemaitre universe. We explain and employ some basic concepts such as Dirac observables, Dirac brackets, gauge-fixing…

广义相对论与量子宇宙学 · 物理学 2019-10-30 Przemysław Małkiewicz

In this work we study the so-called ModMax nonlinear electrodynamics, which is a novel model designed to preserve duality rotations and conformal transformations, such as the Maxwell's equations do. This model allows to study diverse…

高能物理 - 理论 · 物理学 2022-02-16 C. A. Escobar , Román Linares , B. Tlatelpa-Mascote

In this paper, we propose and analyse a reconstruction technique which enables one to design high-order conservative semi-Lagrangian schemes for kinetic equations. The proposed reconstruction can be obtained by taking the sliding average of…

数值分析 · 数学 2021-03-17 Seung Yeon Cho , Sebastiano Boscarino , Giovanni Russo , Seok-Bae Yun

It is shown how a integrable mechanical system provides all the localized static solutions of a deformation of the linear O(N)-sigma model in two space-time dimensions. The proof is based on the Hamilton-Jacobi separability of the…

高能物理 - 理论 · 物理学 2009-10-31 A. Alonso Izquierdo , M. A. Gonzalez Leon , J. Mateos Guilarte

In an early paper, Immerman raised a proposal on developing model-theoretic techniques to prove lower bounds on ordered structures, which represents a long-standing challenge in finite model theory. An iconic question standing for such a…

计算机科学中的逻辑 · 计算机科学 2015-01-20 Yuguo He

In this work, we consider two spins initially prepared in a product of coherent states and study their entanglement dynamics due to a general interacting Hamiltonian. We adopt an approach that allowed the derivation of a semiclassical…

量子物理 · 物理学 2021-11-03 Matheus V. Scherer , Alexandre D. Ribeiro

Actin growth is a fundamental biophysical process and it is, at the same time, a prototypical example of diffusion-mediated surface growth. We formulate a coupled chemo-mechanical, one-dimensional growth model encompassing both material…

软凝聚态物质 · 物理学 2020-01-03 Rohan Abeyaratne , Eric Puntel , Giuseppe Tomassetti

This paper is concerned with the numerical solution of the unified first order hyperbolic formulation of continuum mechanics recently proposed by Peshkov & Romenski, denoted as HPR model. In that framework, the viscous stresses are computed…

数值分析 · 数学 2016-05-04 Michael Dumbser , Ilya Peshkov , Evgeniy Romenski , Olindo Zanotti

In this paper we introduce modified version of one-dimensional outflow dynamics (known as a Sznajd model) which simplifies the analytical treatment. We show that simulations results of the original and modified rules are exactly the same…

统计力学 · 物理学 2009-11-13 F. Slanina , K. Sznajd-Weron , P. Przybyla

Dimensional regularization of Euclidean momentum space integrals is a highly successful technique in renormalization of quantum field theories. While it yields a straightforward algorithmic method, with which to evaluate diagrams beyond…

数学物理 · 物理学 2020-09-03 Juuso Österman

In this article, we develop a new hyperbolic model governing the first-order dynamics of a thin film flow under the influence of gravity and solute transport. The obtained system turns out to be a non-symmetric Keyfitz-Kranzer type system.…

偏微分方程分析 · 数学 2025-09-11 Rahul Barthwal , Christian Rohde , Anupam Sen