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We introduce a model description of femtosecond laser induced desorption at surfaces. The substrate part of the system is taken into account as a (possibly semi-infinite) linear chain. Here, being especially interested in the early stages…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Emil Boström , Anders Mikkelsen , Claudio Verdozzi

The abrupt boundary between a magnetosphere and the surrounding plasma, the magnetopause, has long been known to support surface waves. It was proposed that impulses acting on the boundary might lead to a trapping of these waves on the…

Space Physics · Physics 2019-02-13 M. O. Archer , H. Hietala , M. D. Hartinger , F. Plaschke , V. Angelopoulos

The measured spatiotemporal response of various physical processes is utilized to infer the governing partial differential equations (PDEs). We propose SimultaNeous Basis Function Approximation and Parameter Estimation (SNAPE), a technique…

Machine Learning · Computer Science 2021-09-17 Sutanu Bhowmick , Satish Nagarajaiah

Dynamic state estimation (DSE) is becoming increasingly important for monitoring inverter-dominated power systems. Due to their cascading control structures, inverter-based resources (IBRs) exhibit multi-timescale dynamics, leading to stiff…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Xingyu Zhao , Marcos Netto , Junbo Zhao

Power electronic devices such as HVDC and FACTS can be used to improve the damping of poorly damped inter-area modes in large power systems. This involves the use of wide-area feedback signals, which are transmitted via communication…

Systems and Control · Electrical Eng. & Systems 2022-11-17 K. K. Gajjar , Kaustav Dey , A. M. Kulkarni

PDEs with periodic boundary conditions are frequently used to model processes in large spatial environments, assuming solutions to extend periodically beyond some bounded interval. However, solutions to these PDEs often do not converge to a…

Analysis of PDEs · Mathematics 2025-09-04 Declan Jagt , Sergei Chernyshenko , Matthew Peet

An integral equation-based approach for the design of dual band stacked metasurfaces which are invariant in one-dimension is presented. The stacked metasurface will generate collimated beams at desired angles in each band upon reflection.…

Applied Physics · Physics 2022-06-29 Jordan Budhu , Eric Michielssen , Anthony Grbic

Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between the different…

Optimization and Control · Mathematics 2023-02-10 V. Mehrmann , A. J. van der Schaft

Power system dynamic modeling involves nonlinear differential and algebraic equations (DAEs). Solving DAEs for large power grid networks by direct implicit numerical methods could be inefficient in terms of solution time; thus, such methods…

Systems and Control · Electrical Eng. & Systems 2021-12-30 M Al Mamun , Sumit Paudyal , Sukumar Kamalasadan

It has been demonstrated that Lattice Boltzmann schemes (LBSs) are very efficient for Computational AeroAcoustics (CAA). In order to handle the issue of absorbing acoustic boundary conditions for LBS, three kinds of damping terms are…

Computational Physics · Physics 2012-03-30 Hui Xu , Pierre Sagaut

The influence of the chain degree of ionization on the adsorption of weak polyelectrolytes on neutral and on oppositely and likely charged surfaces is investigated for the first time, by means of Monte Carlo simulations with the mesoscopic…

Biological Physics · Physics 2012-10-02 F. Alarcón , E. Pérez , A. Gama Goicochea

We consider a model of a distribution feeder connecting multiple loads to the sub-station. Voltage is controlled directly at the head of the line (sub-station), however, voltage anywhere further down the line is subject to fluctuations,…

Adaptation and Self-Organizing Systems · Physics 2011-06-27 M. Chertkov , S. Backhaus , K. Turtisyn , V. Chernyak , V. Lebedev

Recently, a circuits-based approach for modeling the mutual coupling of reconfigurable surfaces, which comprise sub-wavelength spaced passive scattering elements coupled with electronic circuits for enabling the reconfiguration of the…

Information Theory · Computer Science 2023-02-08 Marco Di Renzo , Vincenzo Galdi , Giuseppe Castaldi

Large scale integration of distributed energy resources and electric vehicles in a transactive energy environment present new challenges in terms of voltage stability and fluctuations in a power distribution system. The impact of different…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Kumarsinh Jhala , Kexing Lai , Balasubramaniam Natarajan

This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem is governed by two coupled fourth-order nonlinear partial…

We investigate a class of interacting dark energy (IDE) models arising from density-driven spontaneous symmetry breaking in a conformally coupled scalar-tensor framework. In this construction, the dark matter-scalar interaction is…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-27 Pradosh Keshav MV , NS Kavya , Kenath Arun

This paper explores the modal analysis of power systems with high Converter-Interfaced Generation (CIG) penetration utilizing an impedance-based modeling approach. Traditional modal analysis based on the state-space model (MASS) requires…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Le Zheng , Jiajie Zheng , Jiajian Lin , Chongru Liu

In some applications there arises the need of a spatially distributed description of a physical quantity inside a device coupled to a circuit. Then, the in-space discretised system of partial differential equations is coupled to the system…

Numerical Analysis · Mathematics 2019-04-09 Idoia Cortes Garcia , Herbert De Gersem , Sebastian Schöps

The influence of charge trap states in the dielectric boundary material on capacitively coupled radio frequency plasma discharge is investigated with theory and Particle in cell/Monte Carlo Collision simulation. It is found that the trap…

Plasma Physics · Physics 2022-04-18 Shu Zhang , Guang-Yu Sun , Volčokas Arnas , Guan-Jun Zhang , An-Bang Sun

In many mathematical models of physical phenomenons and engineering fields, such as electrical circuits or mechanical multibody systems, which generate the differential algebraic equations (DAEs) systems naturally. In general, the feature…

Numerical Analysis · Computer Science 2015-06-15 Xiaolin Qin , Juan Tang , Yong Feng , Bernhard Bachmann , Peter Fritzson