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Short planar glow discharges coupled to a resistive layer exhibit a wealth of spontaneous spatio-temporal patterns. Several authors have suggested effective reaction-diffusion-models to explore similarities with other pattern forming…

Pattern Formation and Solitons · Physics 2009-11-10 Danijela D. Sijacic , Ute Ebert , Ismail Rafatov

Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

Developing robust simulation tools for problems involving multiple mathematical scales has been a subject of great interest in computational mathematics and engineering. A desirable feature to have in a numerical formulation for multiscale…

Numerical Analysis · Computer Science 2015-06-19 S. Karimi , K. B. Nakshatrala

This paper describes and validates for the first time the dynamic modelling of Liquid Crystal (LC)-based planar multi-resonant cells, as well as its use as bias signals synthesis tool to improve their reconfigurability time. The dynamic LC…

We develop a numerical approach to reconstruct the phase dynamics of driven or coupled self-sustained oscillators. Employing a simple algorithm for computation of the phase of a perturbed system, we construct numerically the equation for…

Computational Physics · Physics 2019-02-20 Michael Rosenblum , Arkady Pikovsky

We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly used when integrating large-scale parabolic systems. Our…

Numerical Analysis · Mathematics 2018-03-30 Eskil Hansen , Erik Henningsson

Synchronization in an array of mutually coupled systems with a finite time-delay in coupling is studied using Josephson junction as a model system. The sum of the transverse Lyapunov exponents is evaluated as a function of the parameters by…

Chaotic Dynamics · Physics 2008-05-22 Chitra R Nayak , V. C. Kuriakose

This paper presents a method for generating a turbulent velocity field that can be used as an input for the temporal simulation in wind excited structure problems. Temporal simulations become necessary when nonlinear behaviour, in the…

Fluid Dynamics · Physics 2023-12-15 Pascal Hémon , Françoise Santi

In this paper a theory of reflective X-ray multilayer structures with a graded (slowly varying) period based on the coupled waves method and quasi-classical asymptotic expansions is reported. A number of exact solutions of the coupled wave…

Optics · Physics 2022-04-26 R. M. Feshchenko

We present an experimental study of time refraction of spin waves propagating in microscopic waveguides under the influence of time-varying magnetic fields. Using space- and time-resolved Brillouin light scattering microscopy, we…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 K. Schultheiss , N. Sato , P. Matthies , L. Körber , K. Wagner , T. Hula , O. Gladii , J. E. Pearson , A. Hoffmann , M. Helm , J. Fassbender , H. Schultheiss

A time-domain numerical code based on the constitutive relations of nonlinear acoustics for simulating ultrasound propagation is presented. To model frequency power law attenuation, such as observed in biological media, multiple relaxation…

In this work, we report a massively parallel and time domain implementation of the 3D phase field model that can reach beyond micron scale and consider for arbitrary electrical and mechanical boundary conditions. The first part of the paper…

Materials Science · Physics 2012-03-27 Khalid Ashraf , Sayeef Salahuddin

Describing and simulating acoustic wave propagation can be difficult and time consuming; especially when modeling three-dimensional (3D) problems. As the propagating waves exit the computational domain, the amplitude needs to be…

Numerical Analysis · Mathematics 2017-10-25 Janelle Resch

A fundamental pursuit of microwave metrology is the determination of the characteristic impedance profile of microwave systems. Among other methods, this can be practically achieved by means of time-domain reflectometry (TDR) that measures…

Data Analysis, Statistics and Probability · Physics 2018-04-16 J. R. Rinehart , J. H. Béjanin , T. C. Fraser , M. Mariantoni

High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded in the internal differential structure of these resulting…

Numerical Analysis · Mathematics 2024-03-14 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

In this work we propose a high-order structure-preserving discretization of the cold plasma model which describes the propagation of electromagnetic waves in magnetized plasmas. By utilizing B-Splines Finite Elements Exterior Calculus, we…

Numerical Analysis · Mathematics 2025-01-29 Elena Moral Sánchez , Martin Campos Pinto , Yaman Güçlü , Omar Maj

We show that the spatial coherence of thermal radiation can be manipulated in time-modulated photonic systems supporting surface polaritons. We develop a fluctuational electrodynamics formalism for such systems to calculate the…

Optics · Physics 2023-03-01 Renwen Yu , Shanhui Fan

The ability of a cell to communicate with its environment is essential for key cellular functions like replication, metabolism, or cell fate decisions. The involved molecular mechanisms are highly dynamic and difficult to capture…

Human-Computer Interaction · Computer Science 2025-09-11 Lena Cibulski , Fiete Haack , Adelinde Uhrmacher , Stefan Bruckner

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Optimization and Control · Mathematics 2012-05-04 W. H. T. M. Aangenent , W. P. M. H. Heemels , M. J. G. Van De Molengraft , Didier Henrion , Maarten Steinbuch

The stationary phase method is often employed for computing tunneling {\em phase} times of analytically-continuous {\em gaussian} or infinite-bandwidth step pulses which collide with a potential barrier. The indiscriminate utilization of…

Quantum Physics · Physics 2009-05-04 Alex E. Bernardini