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This paper analyzes the impact of parametric uncertainties on the dynamics of bistable energy harvesters, focusing on obtaining statistical information about how each parameter's variability affects the energy harvesting process. To model…

Dynamical Systems · Mathematics 2023-10-18 João Pedro Norenberg , Americo Cunha , Samuel da Silva , Paulo Sergio Varoto

A phase-space formulation of non-stationary nonlinear dynamics including both Hamiltonian (e.g., quantum-cosmological) and dissipative (e.g., dissipative laser) systems reveals an unexpected affinity between seemly different branches of…

Pattern Formation and Solitons · Physics 2019-05-30 Vladimir L. Kalashnikov , Sergey L. Cherkas

We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an…

Statistical Mechanics · Physics 2009-10-31 J. Talbot , G. Tarjus , P. Viot

We present a novel hierarchical quantum master equation (HQME) approach which provides a numerically exact description of nonequilibrium charge transport in nanosystems with electronic-vibrational coupling. In contrast to previous work…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 C. Schinabeck , R. Härtle , M. Thoss

Real applications in structural mechanics, where the dynamic behavior is linear, are rare. Usually, structures are made of components assembled together by means of joints whose behavior maybe highly nonlinear. Depending on the amount of…

Dynamical Systems · Mathematics 2018-11-26 Stefano Zucca , Christian M. Firrone

We study the relation between short-time vibrational modes and long-time relaxational dynamics in a kinetically constrained lattice gas with harmonic interactions between neighbouring particles. We find a correlation between the location of…

Statistical Mechanics · Physics 2014-03-14 Douglas J. Ashton , Juan P. Garrahan

Studying the jamming transition of granular and colloidal systems, has lead to a proliferation of theoretical and numerical results formulated in the language of the eigenspectrum of the dynamical matrix for these disordered system. Only…

Soft Condensed Matter · Physics 2016-01-19 Silke Henkes , Carolina Brito , Olivier Dauchot

We present an analytical description of the large-amplitude stationary oscillations of the finite discrete system of harmonically-coupled pendulums without any restrictions to their amplitudes (excluding a vicinity of $\pi$). Although this…

Classical Physics · Physics 2016-04-11 Valeri V. Smirnov , Leonid I. Manevitch

Starting from the many-body Schr\"odinger equation, we derive a new type of Lindblad Master equations describing a cyclic exciton/electron dynamics in the light harvesting complex and the reaction center. These equations resemble the Master…

Chemical Physics · Physics 2020-06-19 Shmuel Gurvitz , Gennady P. Berman , Richard T. Sayre

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

Brownian motion of an array of harmonically coupled particles subject to a periodic substrate potential and driven by an external bias is investigated. In the linear response limit (small bias), the coupling between particles may enhance…

Statistical Mechanics · Physics 2009-10-31 Zhigang Zheng , Bambi Hu , Gang Hu

Current simulations of ultraviolet-visible absorption lineshapes, and dynamics of condensed phase systems, largely adopt a harmonic description to model vibrations. Often, this involves a model of displaced harmonic oscillators that have…

Chemical Physics · Physics 2020-01-08 Luke D. Smith , Arend G. Dijkstra

Quantum--Mechanical methods that are both computationally fast and accurate are not yet available for electronic excitations having charge transfer character. In this work, we present a significant step forward towards this goal for those…

Chemical Physics · Physics 2015-06-12 Michele Pavanello , Troy Van Voorhis , Lucas Visscher , Johannes Neugebauer

We show that the dynamics of (vertical) Franck-Condon excitations in the regime where Holstein-coupled vibrational modes mix strongly with electronic degrees of freedom sharply contrasts with the known self-localized behavior of…

Chemical Physics · Physics 2019-09-25 Benedikt Kloss , David Reichman , Roel Tempelaar

We study a bulk fermionic dipolar molecular gas in the quantum degenerate regime confined in a two-dimensional geometry. We consider two rotational states that encode a spin 1/2 degree of freedom. We derive a long-range interacting XXZ…

High-harmonic generation (HHG) in crystalline solids have been examined so far on the basis of one-body energy-band structures arising from electron itineracy in a periodic potential. Here, we show emergence of HHG signals which are…

Strongly Correlated Electrons · Physics 2020-04-22 Shohei Imai , Atsushi Ono , Sumio Ishihara

We study numerically the nonintegrable dynamics of coherent, solitonic, nonlinear waves, in a spatially nonlocal nonlinear Schrodinger equation relevant to realistic modelling of optical systems: the Schrodinger-Helmholtz equation. We…

Pattern Formation and Solitons · Physics 2025-05-15 Clement Colleaux , Jonathan Skipp , Sergey Nazarenko , Jason Laurie

Calculations of highly excited and delocalized molecular vibrational states are computationally challenging tasks, which strongly depends on the choice of coordinates for describing vibrational motions. We introduce a new method that…

In the present work, we study, by means of a one-dimensional lattice model, the collective excitations corresponding to intra molecular ones of a chain like proteins. It is shown that such excitations are described by the Nonlinear…

Pattern Formation and Solitons · Physics 2009-05-30 E. Villagran , J. Socorro , Ricardo Garcia-Salcedo , M. Aguero

In this paper we design and use two Deep Learning models to generate the ground and excited wavefunctions of different Hamiltonians suitable for the study the vibrations of molecular systems. The generated neural networks are trained with…

Chemical Physics · Physics 2021-11-24 Laia Domingo , Florentino Borondo
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