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We introduce numerical methods for simulating the diffusive motion of rigid bodies of arbitrary shape immersed in a viscous fluid. We parameterize the orientation of the bodies using normalized quaternions, which are numerically robust,…

软凝聚态物质 · 物理学 2015-10-28 Steven Delong , Florencio Balboa Usabiaga , Aleksandar Donev

As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or…

凝聚态物理 · 物理学 2007-05-23 M. Sassetti , H. Schomerus , U. Weiss

Semiflexible slender filaments are ubiquitous in nature and cell biology, including in the cytoskeleton, where reorganization of actin filaments allows the cell to move and divide. Most methods for simulating semiflexible inextensible…

数值分析 · 数学 2023-05-03 Ondrej Maxian , Brennan Sprinkle , Aleksandar Donev

The goal of this paper is to develop and analyze some fully discrete finite element methods for a displacement-pressure model modeling swelling dynamics of polymer gels under mechanical constraints. In the model, the swelling dynamics is…

数值分析 · 数学 2009-03-25 Xiaobing Feng , Yinnian He

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

统计力学 · 物理学 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

A simple one-dimensional spring-block chain with asymmetric interactions is considered to model an idealized single-lane highway traffic. The main elements of the system are blocks (modeling cars), springs with unidirectional interactions…

数据分析、统计与概率 · 物理学 2011-11-04 Ferenc Jarai-Szabo , Bulcsu Sandor , Zoltan Neda

This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-elastic models in fractured porous media. The scheme is based…

数值分析 · 数学 2024-04-24 Jérôme Droniou , Ali Haidar , Roland Masson

This paper proposes a novel framework for the distributionally robust input and state estimation (DRISE) for autonomous vehicles operating under model uncertainties and measurement outliers. The proposed framework improves the input and…

最优化与控制 · 数学 2025-04-15 Kasra Azizi , Kumar Anurag , Wenbin Wan

We present a Brownian dynamics model of driven polymer translocation, in which non-equilibrium memory effects arising from tension propagation (TP) along the cis side subchain are incorporated as a time-dependent friction. To solve the…

软凝聚态物质 · 物理学 2015-06-03 Timo Ikonen , Aniket Bhattacharya , Tapio Ala-Nissila , Wokyung Sung

Accurately modeling friction in robotics remains a core challenge, as robotics simulators like MuJoCo and PyBullet use simplified friction models or heuristics to balance computational efficiency with accuracy, where these simplifications…

机器人学 · 计算机科学 2026-03-20 Asutay Ozmen , João P. Hespanha , Katie Byl

This paper proposes a feedback linearizing law for single-track dynamic models, allowing the design of a trajectory tracking controller exploiting linear control theory. The main characteristics of this algorithm are its simplicity, its…

系统与控制 · 电气工程与系统科学 2020-04-03 Luca Bascetta , Marcello Farina , Alessandro Gabrielli , Matteo Matteucci

This paper establishes a far-reaching connection between the Finite-Difference Time-Domain method (FDTD) and the theory of dissipative systems. The FDTD equations for a rectangular region are written as a dynamical system having the…

计算工程、金融与科学 · 计算机科学 2017-04-05 Fadime Bekmambetova , Xinyue Zhang , Piero Triverio

Damping of structures and systems is often dominated by frictional dissipation in connections, the prediction of which remains a longstanding scientific challenge. Previous studies have shown that the actual topography of contact interfaces…

计算工程、金融与科学 · 计算机科学 2026-03-30 Hendrik D. Linder , David A. Najera-Flores , Robert J. Kuether , Malte Krack

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

系统与控制 · 电气工程与系统科学 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

We present a theoretical analysis of frictional transitions along the Stribeck curve for rough elastic contacts lubricated by a Newtonian fluid. Building on the mean-field framework of Persson and Scaraggi (J. Phys.: Condens. Matter 21…

软凝聚态物质 · 物理学 2026-03-30 Vincent Bertin , Olivier Pouliquen

We use the saddle-approach, recently introduced in the numerical investigation of simple model liquids, in the analysis of a mean-field solvable system. The investigated system is the k-trigonometric model, a k-body interaction mean field…

无序系统与神经网络 · 物理学 2009-11-07 L. Angelani , G. Ruocco , F. Zamponi

We present a multi-scale computational framework suitable for designing solid lubricant interfaces fully in silico. The approach is based on stochastic thermodynamics founded on the classical thermally activated two-dimensional…

材料科学 · 物理学 2022-04-27 Paola C. Torche , Andrea Silva , Denis Kramer , Tomas Polcar , Ondrej Hovorka

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

统计力学 · 物理学 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

The performance of vehicle active safety systems is dependent on the friction force arising from the contact of tires and the road surface. Therefore, an adequate knowledge of the tire-road friction coefficient is of great importance to…

神经与进化计算 · 计算机科学 2019-11-18 Alexandre M. Ribeiro , Alexandra Moutinho , André R. Fioravanti , Ely C. de Paiva

A new method for the simulation of evolving multi-domains problems has been introduced in previous works (RealIMotion), Florez et al. (2020) and further developed in parallel in the context of isotropic Grain Growth (GG) with no…

计算工程、金融与科学 · 计算机科学 2021-06-23 Sebastian Florez , Karen Alvarado , Marc Bernacki