scholarly journals Lyapunov spectra and conjugate-pairing rule for confined atomic fluids

2010 ◽  
Vol 132 (24) ◽  
pp. 244508 ◽  
Author(s):  
Stefano Bernardi ◽  
B. D. Todd ◽  
J. S. Hansen ◽  
Debra J. Searles ◽  
Federico Frascoli
Author(s):  
O. Jenkinson ◽  
M. Pollicott ◽  
P. Vytnova

AbstractIommi and Kiwi (J Stat Phys 135:535–546, 2009) showed that the Lyapunov spectrum of an expanding map need not be concave, and posed various problems concerning the possible number of inflection points. In this paper we answer a conjecture in Iommi and Kiwi (2009) by proving that the Lyapunov spectrum of a two branch piecewise linear map has at most two points of inflection. We then answer a question in Iommi and Kiwi (2009) by proving that there exist finite branch piecewise linear maps whose Lyapunov spectra have arbitrarily many points of inflection. This approach is used to exhibit a countable branch piecewise linear map whose Lyapunov spectrum has infinitely many points of inflection.


1981 ◽  
Vol 59 (10) ◽  
pp. 1504-1509 ◽  
Author(s):  
U. Balucani ◽  
R. Vallauri

The relative dynamics of particle pairs in fluids is investigated both theoretically and by simulation experiments. The physical implications of this analysis are important in all interaction-induced phenomena and illustrated in the case of the pair time correlation function relevant to collision-induced light scattering in atomic fluids.


1999 ◽  
Vol 258 (1) ◽  
pp. 25-30 ◽  
Author(s):  
Martin J. Bünner ◽  
R. Hegger

2000 ◽  
Vol 138 ◽  
pp. 592-593
Author(s):  
Tsuneyasu Okabe ◽  
Hiroaki Yamada

Author(s):  
Nayyer Iqbal ◽  
Shahid Ahmad ◽  
Muhammad Hussain
Keyword(s):  

2006 ◽  
Vol 24 (1) ◽  
pp. 9-14 ◽  
Author(s):  
M. KANAPATHIPILLAI

Very good absorption of ultra short laser pulses by clusters is a well established fact. Efficient collisional absorption occurs only in the initial phase of the pulse. However, experiments and numerical simulations show that even after collisional absorption becomes inefficient subsequent to heating of the electrons, strong absorption continues. There have been a few attempts to model this phenomenon in terms of driven “linear” oscillator models with time dependent eigen-frequencies. Here we propose a nonlinear oscillator model and show that nonlinear resonance is the leading mechanism responsible for the collisionless absorption. Further it is demonstrated, on the basis of Lyapunov spectra, that laser-cluster interaction, under certain conditions, exhibits chaotic behavior.


2009 ◽  
Vol 360 (1-3) ◽  
pp. 7-12 ◽  
Author(s):  
Luxi Li ◽  
Xianbo Shi ◽  
C.M. Evans ◽  
G.L. Findley

2017 ◽  
pp. 266-293
Author(s):  
Billy D. Todd ◽  
Peter J. Daivis
Keyword(s):  

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