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

1968 ◽  
Vol 39 (6) ◽  
pp. 1468-1486 ◽  
Author(s):  
Bent Sørensen
2019 ◽  
Vol 234 (7-8) ◽  
pp. 513-527 ◽  
Author(s):  
Bogdan Kuchta ◽  
Filip Formalik ◽  
Justyna Rogacka ◽  
Alexander V. Neimark ◽  
Lucyna Firlej

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.


Author(s):  
S. J. Thomson ◽  
M. Durey ◽  
R. R. Rosales

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.


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

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

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

1996 ◽  
Vol 03 (01) ◽  
pp. 631-635 ◽  
Author(s):  
TAMOTSU KONDOW

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.


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

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

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