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The capability to excite, probe, and manipulate vibrational modes is essential for understanding and controlling chemical reactions at the molecular level. Recent advancements in tip-enhanced Raman spectroscopies have enabled the probing of…

Understanding coherent optical responses of topological surface states (TSSs) requires disentangling excitation pathways from the electronic band structure. Here, using angle-resolved two-photon photoemission spectroscopy, we identify two…

We study the Murray adaptation of the Noyes-Field five-step model of the Belousov-Zhabotinsky (BZ) reaction in the case when a tuning parameter $r$, which determines the level of the bromide ion far ahead of the propagating wave, is bigger…

Analysis of PDEs · Mathematics 2023-05-16 Karel Hasík , Jana Kopfová , Petra Nábělková , Sergei Trofimchuk

In the search of high-temperature superconductivity one option is to focus on increasing the density of electronic states. Here we study both the normal and $s$-wave superconducting state properties of periodically strained graphene, which…

Superconductivity · Physics 2020-08-26 Teemu J. Peltonen , Tero T. Heikkilä

We develop numerical methods to calculate electron dynamics in crystalline solids in real-time time-dependent density functional theory employing exchange-correlation potentials which reproduce band gap energies of dielectrics; a meta…

Materials Science · Physics 2016-01-07 Shunsuke A. Sato , Yasutaka Taniguchi , Yasushi Shinohara , Kazuhiro Yabana

We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate the Einstein's method of Brownian motion to deduce the…

Dynamical Systems · Mathematics 2022-02-01 Rahnuma Islam , Akif Ibragimov

Ultrafast optical excitations trigger in materials a range of dynamics. An interesting range of dynamics is the ones that unfold within the picosecond timescale, corresponding to the THz frequency range. Within this short timescale, the…

Optics · Physics 2023-09-27 Yingshu Yang , Stefano Dal Forno , Marco Battiato

We analyse the dynamics of the improved discretised version of the well known Izhikevich neuronmodel under the action of external electromagnetic field. It is found that the three-dimensional IZHmap shows rich dynamics. With the variation…

Neurons and Cognition · Quantitative Biology 2021-05-24 Sishu Shankar Muni , Karthikeyan Rajagopal , Anitha Karthikeyan , Sundaram Arun

In this work, we revisited the ZGB model in order to study the behavior of its phase diagram when two well-known random networks play the role of the catalytic surfaces: the Random Geometric Graph and the Erd\"{o}s-R\'{e}nyi network. The…

Statistical Mechanics · Physics 2020-06-02 E. B. Vilela , H. A. Fernandes , F. L. P. Costa , P. F. Gomes

We consider a 1 1/2degrees of freedom Hamiltonian dynamical system, which models the chaotic dynamics of charged test-particles in a turbulent electric field, across the confining magnetic field in controlled thermonuclear fusion devices.…

Mathematical Physics · Physics 2009-11-13 Natalia Tronko , Michel Vittot , Cristel Chandre , Philippe Ghendrih , Guido Ciraolo

We prove the existence of the minimal speed of propagation $c_*(r,b,K) \in [2\sqrt{1-r},2]$ for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel…

Analysis of PDEs · Mathematics 2023-09-11 Karel Hasík , Jana Kopfová , Petra Nábělková , Olena Trofymchuk , Sergei Trofimchuk

Niobium-zirconium (Nb-Zr) alloy is an old superconductor that is a promising new candidate for superconducting radio-frequency (SRF) cavity applications. Using density-functional and Eliashberg theories, we show that addition of Zr to a Nb…

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Hyperbolic metasurfaces have gained significant attention due to their extraordinary electromagnetic properties to control propagating plane waves, but the excitation and propagation of the surface plasmon-polaritons at hyperbolic…

The study of chemical reactions in aqueous media is very important for its implications in several fields of science, from biology to industrial processes. Modelling these reactions is however difficult when water directly participates in…

Chemical Physics · Physics 2021-03-24 Manyi Yang , Luigi Bonati , Daniela Polino , Michele Parrinello

We propose a new geometric approach to describe the qualitative dynamics of chemical reactions networks. By this method we identify metastable regimes, defined as low dimensional regions of the phase space close to which the dynamics is…

Molecular Networks · Quantitative Biology 2015-11-19 Satya Swarup Samal , Aurélien Naldi , Dima Grigoriev , Andreas Weber , Nathalie Théret , Ovidiu Radulescu

One of the simplest multilevel cellular automata - the hodgepodge machine - was modified to best match the chemical trajectory observed in the Belousov-Zhabotinsky reaction. Noise introduces watersheding of the central regular pattern into…

Cellular Automata and Lattice Gases · Physics 2016-06-15 Dalibor Stys , Krystof M. Stys , Anna Zhyrova , Renata Rychtarikova

The transport of excitations governs fundamental properties of matter. Particularly rich physics emerges in the interplay between disorder and environmental noise, even in small systems such as photosynthetic biomolecules.…

Quantum Physics · Physics 2018-02-14 Nils Trautmann , Philipp Hauke

A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional mixing of two spatially separated…

Pattern Formation and Solitons · Physics 2011-06-23 M. Rafti , H. Uecker , F. Lovis , V. Krupennikova , R. Imbihl

We show both theoretically and experimentally that the magnetization density accompanying ultrafast excitation of a semiconductor with circular polarized light varies rapidly enough to produce a detectable THz field.

Materials Science · Physics 2007-05-23 F. Nastos , R. W. Newson , J. Hübner , J. E. Sipe , H. M. van Driel