scholarly journals Selfconsistent Treatment of Collective Vibrations in Terms of Boson Expansions

1968 ◽  
Vol 39 (6) ◽  
pp. 1468-1486 ◽  
Author(s):  
Bent Sørensen
Keyword(s):  
Collective Vibrations

Phonons in deformable microporous crystalline solids

2019 ◽  
Vol 234 (7-8) ◽  
pp. 513-527 ◽  
Author(s):  
Bogdan Kuchta ◽  
Filip Formalik ◽  
Justyna Rogacka ◽  
Alexander V. Neimark ◽  
Lucyna Firlej
Keyword(s):  
Periodic Structures ◽  
Structural Transformations ◽  
Crystalline Solids ◽  
Predictive Tool ◽  
Crystalline Materials ◽  
Numerical Tools ◽  
Collective Vibrations ◽  
First Time

Abstract Phonons are quantum elastic excitations of crystalline solids. Classically, they correspond to the collective vibrations of atoms in ordered periodic structures. They determine the thermodynamic properties of solids and their stability in the case of structural transformations. Here we review for the first time the existing examples of the phonon analysis of adsorption-induced transformations occurring in microporous crystalline materials. We discuss the role of phonons in determining the mechanism of the deformations. We point out that phonon-based methodology may be used as a predictive tool in characterization of flexible microporous structures; therefore, relevant numerical tools must be developed.

scholarly journals Collective vibrations of a hydrodynamic active lattice

2020 ◽  
Vol 476 (2239) ◽  
pp. 20200155 ◽  
Author(s):  
S. J. Thomson ◽  
M. Durey ◽  
R. R. Rosales
Keyword(s):  
Nonlinear Dynamical System ◽  
Bath Surface ◽  
Nonlinear Dynamical ◽  
Weakly Nonlinear ◽  
New Class ◽  
Subcritical Hopf Bifurcation ◽  
Geometrical Constraints ◽  
Non Local ◽  
Collective Vibrations ◽  
Spatio Temporal

Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves. This hydrodynamic lattice is driven by the external forcing of a vertically vibrating fluid bath, which invokes a field of subcritical Faraday waves on the bath surface, mediating the spatio-temporal droplet coupling. By modelling the droplet lattice as a memory-endowed system with spatially non-local coupling, we herein rationalize the form and onset of instability in this new class of dynamical oscillator. We identify the memory-driven instability of the lattice as a function of the number of droplets, and determine equispaced lattice configurations precluded by geometrical constraints. Each memory-driven instability is then classified as either a super- or subcritical Hopf bifurcation via a systematic weakly nonlinear analysis, rationalizing experimental observations. We further discover a previously unreported symmetry-breaking instability, manifest as an oscillatory–rotary motion of the lattice. Numerical simulations support our findings and prompt further investigations of this nonlinear dynamical system.

Collective vibrations of protons in compounds of the KH2PO4-type the cluster approximation

1979 ◽  
Vol 91 (2) ◽  
pp. 541-550 ◽  
Author(s):  
I. V. Stasyuk ◽  
R. R. Levitskii ◽  
N. A. Korinevskii
Keyword(s):  
Cluster Approximation ◽  
Collective Vibrations

Collective vibrations in nuclei

1965 ◽  
Vol 28 (1) ◽  
pp. 113-167 ◽  
Author(s):  
A M Green
Keyword(s):  
Collective Vibrations

Collective Vibrations in Crystalline L-Alanine

1995 ◽  
Vol 99 (15) ◽  
pp. 5645-5657 ◽  
Author(s):  
Alexandru M. Micu ◽  
Dominique Durand ◽  
Marguerite Quilichini ◽  
Martin J. Field ◽  
Jeremy C. Smith
Keyword(s):  
Collective Vibrations

REACTION PROCESSES INVOLVING GAS-PHASE CLUSTERS

1996 ◽  
Vol 03 (01) ◽  
pp. 631-635 ◽  
Author(s):  
TAMOTSU KONDOW
Keyword(s):  
Gas Phase ◽  
Cluster Ions ◽  
Rare Gas ◽  
Cluster Anions ◽  
Gas Phase Clusters ◽  
Dynamic Solvent Effect ◽  
Rare Gas Atoms ◽  
Surface Collision ◽  
Collective Vibrations ◽  
Reaction Processes

Gas-phase clusters exhibit specific reactivities which mainly arise from their unique geometric and electronic structures, and collective vibrations due to a limited number of the constituent atoms and molecules. In order to elucidate the specificities of the reaction processes involving the clusters, we describe several examples including our studies on collisional dissociation of size-selected sodium-cluster ions with rare-gas atoms, and impact of size-selected aluminum-cluster anions and [Formula: see text] with a silicon surface. In particular, the essential features of the cluster-anion-surface collision are elucidated. A dynamic solvent effect on the dissociation of [Formula: see text] is observed in the [Formula: see text] system.

Collective vibrations and the nature of the intrinsic field

1974 ◽  
Vol 11 (1) ◽  
pp. 75-79
Author(s):  
E. S. Hernández ◽  
A. Plastino
Keyword(s):  
Collective Vibrations

scholarly journals Collective vibrations built on the Kπ=9− high-spin isomer in 180Ta

2003 ◽  
Vol 551 (1-2) ◽  
pp. 71-78 ◽  
Author(s):  
M Loewe ◽  
P Alexa ◽  
T Czosnyka ◽  
J de Boer ◽  
J Iwanicki ◽  
...  
Keyword(s):  
High Spin ◽  
Spin Isomer ◽  
High Spin Isomer ◽  
Collective Vibrations
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