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The structures formation of the Universe appears as if it were a classically self-similar random process at all astrophysical scales. An agreement is demonstrated for the present hypotheses of segregation with a size of astrophysical…

天体物理学 · 物理学 2008-11-26 G. Iovane , E. Laserra , F. S. Tortoriello

In this work, the dynamics of fluctuations in gene expression time series is investigated. By using collected data of gene expression from yeast and human organisms, we found that the fluctuations of gene expression level and its average…

生物大分子 · 定量生物学 2007-05-23 J. C. Nacher , T. Ochiai , T. Akutsu

Plectonemes are intertwined helically looped domains which form when a DNA molecule is supercoiled, i.e. over- or under-wounded. They are ubiquitous in cellular DNA and their physical properties have attracted significant interest both from…

软凝聚态物质 · 物理学 2022-09-14 Enrico Skoruppa , Enrico Carlon

We study the effects of the sequence on the propagation of nonlinear excitations in simple models of DNA, and how those effects are modified by noise. Starting from previous results on soliton dynamics on lattices defined by aperiodic…

生物大分子 · 定量生物学 2009-11-10 Sara Cuenda , Angel Sanchez

The nature of the quantitative distribution of the 64 DNA codons in the human genome has been an issue of debate for over a decade. Some groups have proposed that the quantitative distribution of the DNA codons ordered as a rank-frequency…

基因组学 · 定量生物学 2015-01-06 Bohdan B. Khomtchouk

Turbulence, namely, irregular fluctuations in space and time characterize fluid flows in general and atmospheric flows in particular.The irregular,i.e., nonlinear space-time fluctuations on all scales contribute to the unpredictable nature…

综合物理 · 物理学 2007-05-23 J. S. Pethkar , A. M. Selvam

The complex spaciotemporal patterns of atmospheric flows that result from the cooperative existence of fluctuations ranging in size from millimetres to thousands of kilometres are found to exhibit long-range spacial and temporal…

综合物理 · 物理学 2015-06-26 A. Mary Selvam

We present experimental and numerical results for the long-range fluctuation properties in the spectra of quantum graphs with chaotic classical dynamics and preserved time-reversal invariance. Such systems are generally believed to provide…

混沌动力学 · 物理学 2017-05-10 Barbara Dietz , Vitalii Yunko , Malgorzata Bialous , Szymon Bauch , Michal Lawniczak , Leszek Sirko

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for power spectra of temporal fluctuations on all space-time…

chao-dyn · 物理学 2009-10-31 A. M. Selvam , S. Fadnavis

Self-organization is the spontaneous formation of spatial, temporal, or spatiotemporal patterns in complex systems far from equilibrium. During such self-organization, energy distributed in a broadband of frequencies gets condensed into a…

We compare the properties of transmission across one-dimensional finite samples which are associated with two types of "quantum diffusion", one related to a classical chaotic dynamics, the other to a multifractal energy spectrum. We…

凝聚态物理 · 物理学 2016-08-31 Fausto Borgonovi , Italo Guarneri

A short historical overview is given on the development of our knowledge of complex dynamical systems with special emphasis on ergodicity and chaos, and on the semiclassical quantization of integrable and chaotic systems. The general trace…

chao-dyn · 物理学 2008-02-03 Frank Steiner

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with…

凝聚态物理 · 物理学 2009-10-28 Roland Ketzmerick

We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the…

统计力学 · 物理学 2007-11-06 D. Boose , J. M. Luck

Some years ago we proposed a new approach to the analysis of galaxy and cluster correlations based on the concepts and methods of modern statistical Physics. This led to the surprising result that galaxy correlations are fractal and not…

天体物理学 · 物理学 2017-05-31 F. Sylos Labini , M. Montuori , L. Pietronero

We focus on mesoscopic dislocation patterning via a continuum dislocation dynamics theory (CDD) in three dimensions (3D). We study three distinct physically motivated dynamics which consistently lead to fractal formation in 3D with rather…

统计力学 · 物理学 2015-03-19 Yong S. Chen , Woosong Choi , Stefanos Papanikolaou , Matthew Bierbaum , James P. Sethna

Quantum-chaotic systems exhibit several universal properties, ranging from level repulsion in the energy spectrum to wavefunction delocalization. On the other hand, if wavefunctions are localized, the levels exhibit no level repulsion and…

统计力学 · 物理学 2026-02-19 Simon Jiricek , Miroslav Hopjan , Vladimir Kravtsov , Boris Altshuler , Lev Vidmar

We present a non-perturbative analysis of the power-spectrum of energy level fluctuations in fully chaotic quantum structures. Focussing on systems with broken time-reversal symmetry, we employ a finite-$N$ random matrix theory to derive an…

混沌动力学 · 物理学 2017-05-17 Roman Riser , Vladimir Al. Osipov , Eugene Kanzieper

The multi-scale expansions and contractions of the Earth's magnetosphere explain fundamental issues of magnetic storm-substorm relationship. This magnetospheric behavior is in agreement with a model of 3D-spirally-faster-inward-oscillating…

空间物理 · 物理学 2007-05-23 Eugene Savov

Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system structure, obtained as the unreduced, causally probabilistic general solution of arbitrary interaction problem (physics/0305119,…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk