On the method for the analysis of compulsive phase mixing and its application in cosmogony

2021 ◽  
pp. 83-88
Author(s):  
S. N. NURITDINOV ◽  
A. A. MUMINOV ◽  
F. U. BOTIROV
Keyword(s):  
Phase Space ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Volume Element ◽  
Numerical Calculations ◽  
Complex Nature ◽  
Phase Volume ◽  
Phase Mixing ◽  
Stationary Stochastic Processes ◽  
Gravitating Systems

In this paper, we study the strong non-stationary stochastic processes that take place in the phase space of self-gravitating systems at the earlier non-stationary stage of their evolution. The numerical calculations of the compulsive phase mixing process were carried out according to the model of chaotic impacts, where the initially selected phase volume experiences random pushes that are of a diverse and complex nature. The application of the method for studying random impacts on a volume element in the case of three-dimensional space is carried out.

PHASE MIXING AT THE EARLIER EVOLUTION STAGES OF SELFGRAVITATING SYSTEMS. I. DISK-LIKE SYSTEMS

2019 ◽  
Vol 21 (2) ◽  
pp. 65-69
Author(s):  
A.A. Muminov ◽  
S.N. Nuritdinov ◽  
F.U. Botirov
Keyword(s):  
Phase Space ◽  
Stochastic Processes ◽  
Early Stage ◽  
Numerical Calculations ◽  
Phase Volume ◽  
Phase Mixing ◽  
Stationary Stochastic Processes ◽  
Gravitating Systems

We study strongly non-stationary stochastic processes which take place in the phase space of disk-like self-gravitating systems at the early stage of their evolution. Numerical calculations were carried out based on the model of chaotic effects according to which the selected phase volume is experienced by random pushes that have diverse and complicated character.

scholarly journals Phase Transition in Modified Newtonian Dynamics (MONDian) Self-Gravitating Systems

Entropy ◽  
2021 ◽  
Vol 23 (9) ◽  
pp. 1158
Author(s):  
Mohammad Hossein Zhoolideh Zhoolideh Haghighi ◽  
Sohrab Rahvar ◽  
Mohammad Reza Rahimi Rahimi Tabar
Keyword(s):  
Phase Transition ◽  
Binary Systems ◽  
Dimensional Space ◽  
Gravitational Interaction ◽  
Three Dimensional ◽  
Physical Parameters ◽  
Canonical Systems ◽  
Modified Newtonian Dynamics ◽  
Newtonian Dynamics ◽  
Gravitating Systems

We study the statistical mechanics of binary systems under the gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems in the microcanonical and canonical ensembles, we show that in the microcanonical systems, unlike the Newtonian gravity, there is a sharp phase transition, with a high-temperature homogeneous phase and a low-temperature clumped binary one. Defining an order parameter in the canonical systems, we find a smoother phase transition and identify the corresponding critical temperature in terms of the physical parameters of the binary system.

ROTATING SYNCHRONIZATION IN THREE-DIMENSIONAL CHAOTIC SYSTEMS

2012 ◽  
Vol 26 (20) ◽  
pp. 1250120 ◽  
Author(s):  
FUZHONG NIAN ◽  
XINGYUAN WANG
Keyword(s):  
Phase Space ◽  
Chaotic Systems ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Phase Space Reconstruction ◽  
Projective Synchronization ◽  
Reconstruction Method ◽  
Self Similarity ◽  
Application Fields ◽  
Three Dimensional Space

Projective synchronization investigates the synchronization of systems evolve in same orientation, however, in practice, the situation of same orientation is only minority, and the majority is different orientation. This paper investigates the latter, proposes the concept of rotating synchronization, and verifies its necessity and feasibility via theoretical analysis and numerical simulations. Three conclusions were elicited: first, in three-dimensional space, two arbitrary nonlinear chaotic systems who evolve in different orientation can realize synchronization at end; second, projective synchronization is a special case of rotating synchronization, so, the application fields of rotating synchronization is more broadly than that of the former; third, the overall evolving information can be reflected by single state variable's evolving, it has self-similarity, this is the same as the basic idea of phase space reconstruction method, it indicates that we got the same result from different approach, so, our method and the phase space reconstruction method are verified each other.

scholarly journals Crossfertilization Between Plasma, Stellar Dynamics and Hydrodynamics

1975 ◽  
Vol 69 ◽  
pp. 177-194
Author(s):  
M. R. Feix
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Dimensional Space ◽  
Stellar Dynamics ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Stokes Fluid ◽  
Gravitating Systems ◽  
Space Phase

We present results on four different mediums characterised by their ‘density conservation’ in a two dimensional space (phase space for unidimensional plasma and self gravitating systems, configuration space for two dimensional Navier Stokes fluid and guiding center rod plasma).

A Transverse Contour Model of Distributed Muscle Forces and Spinal Loads during Lifting and Twisting

1997 ◽  
Vol 41 (1) ◽  
pp. 675-679 ◽  
Author(s):  
Joseph R. Davis ◽  
Gary A. Mirka
Keyword(s):  
System Analysis ◽  
Dimensional Space ◽  
Human Subjects ◽  
Three Dimensional ◽  
Trunk Muscles ◽  
Complex Nature ◽  
Muscle Forces ◽  
Contour Model ◽  
Fine Wire

This study has developed a realistic three-dimensional transverse contour model of distributed muscle forces and spinal consequences (compression, torsion, and shear) that occur during dynamic lifting, static holding, and dynamic twisting. The model utilizes multiple force vectors to represent broad flat muscles along with traditional single vector modeling of other trunk muscles. Instead of a two-dimensional transverse cutting plane, this model introduces a system analysis boundary in the form of a three-dimensional transverse cutting contour that was created by in vivo digitization of human subjects in symmetric and asymmetric postures. This transverse contour more realistically illustrates the complex nature of the human biomechanical system during the performance of industrial work in three-dimensional space. To investigate this model, surface electromyography data were collected from seven subjects. Also, to confirm the findings from surface data and to alleviate muscle signal crosstalk concerns, fine-wire electromyography data were collected from one additional subject. Both the surface and fine-wire data showed that differential muscle forces existed within each of the external obliques, internal obliques, and latissimus dorsi. Moreover, the data were used for validation which confirmed the viability of the model. This multi-vector distributed-force transverse contour model was found to be particularly useful for describing shear and compression during three-dimensional twisting.

Global existence of small amplitude solutions to the Vlasov–Poisson system with radiation damping

2015 ◽  
Vol 26 (12) ◽  
pp. 1550098 ◽  
Author(s):  
Jing Chen ◽  
Xianwen Zhang
Keyword(s):  
Fixed Point ◽  
Phase Space ◽  
Small Amplitude ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Local Solution ◽  
Dispersion Property ◽  
Poisson System ◽  
Global Classical Solution ◽  
Three Dimensional Space

In this paper, with some dispersion property and Schauder’s fixed point theorem, we establish the existence of a global classical solution to a damped Vlasov–Poisson system in three-dimensional space under the assumption that the initial datum is sufficiently small and decays at infinity in phase space. Before this work, only a local solution was obtained for the three-dimensional damped Vlasov–Poisson system.

Three Dimensional structure and organization of diploid chromosomes by optical section microscopy

1987 ◽  
Vol 45 ◽  
pp. 633-635
Author(s):  
David A. Agard ◽  
Yasushi Hiraoka ◽  
John W. Sedat
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Developmental State ◽  
Mitotic Cell ◽  
Biological Properties ◽  
Dimensional Structure ◽  
Specific Gene ◽  
Three Dimensional Structure ◽  
Complementary Techniques ◽  
Dynamic Structures

In an effort to understand the complex relationship between structure and biological function within the nucleus, we have embarked on a program to examine the three-dimensional structure and organization of Drosophila melanogaster embryonic chromosomes. Our overall goal is to determine how DNA and proteins are organized into complex and highly dynamic structures (chromosomes) and how these chromosomes are arranged in three dimensional space within the cell nucleus. Futher, we hope to be able to correlate structual data with such fundamental biological properties as stage in the mitotic cell cycle, developmental state and transcription at specific gene loci.Towards this end, we have been developing methodologies for the three-dimensional analysis of non-crystalline biological specimens using optical and electron microscopy. We feel that the combination of these two complementary techniques allows an unprecedented look at the structural organization of cellular components ranging in size from 100A to 100 microns.

Three-Dimensional reconstruction of isolated centrosomes by automated electron tomography

1994 ◽  
Vol 52 ◽  
pp. 310-311
Author(s):  
M.B. Braunfeld ◽  
M. Moritz ◽  
B.M. Alberts ◽  
J.W. Sedat ◽  
D.A. Agard
Keyword(s):  
Electron Tomography ◽  
Three Dimensional ◽  
Vital Role ◽  
Complex Nature ◽  
Animal Cells ◽  
Microtubule Organizing Center ◽  
Nucleation Sites ◽  
Dimensional Reconstruction ◽  
Organizing Center ◽  
Resolution Model

In animal cells, the centrosome functions as the primary microtubule organizing center (MTOC). As such the centrosome plays a vital role in determining a cell's shape, migration, and perhaps most importantly, its division. Despite the obvious importance of this organelle little is known about centrosomal regulation, duplication, or how it nucleates microtubules. Furthermore, no high resolution model for centrosomal structure exists.We have used automated electron tomography, and reconstruction techniques in an attempt to better understand the complex nature of the centrosome. Additionally we hope to identify nucleation sites for microtubule growth.Centrosomes were isolated from early Drosophila embryos. Briefly, after large organelles and debris from homogenized embryos were pelleted, the resulting supernatant was separated on a sucrose velocity gradient. Fractions were collected and assayed for centrosome-mediated microtubule -nucleating activity by incubating with fluorescently-labeled tubulin subunits. The resulting microtubule asters were then spun onto coverslips and viewed by fluorescence microscopy.

Diffraction contrast of dislocations in icosahedral quasicrystals

1990 ◽  
Vol 48 (4) ◽  
pp. 454-455
Author(s):  
K. Urban ◽  
Z. Zhang ◽  
M. Wollgarten ◽  
D. Gratias
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Complete Characterization ◽  
Extinction Condition ◽  
Burgers Vector ◽  
Diffraction Contrast ◽  
Lattice Geometry ◽  
Reference Space ◽  
Icosahedral Quasicrystals ◽  
The One

Recently dislocations have been observed by electron microscopy in the icosahedral quasicrystalline (IQ) phase of Al65Cu20Fe15. These dislocations exhibit diffraction contrast similar to that known for dislocations in conventional crystals. The contrast becomes extinct for certain diffraction vectors g. In the following the basis of electron diffraction contrast of dislocations in the IQ phase is described. Taking account of the six-dimensional nature of the Burgers vector a “strong” and a “weak” extinction condition are found.Dislocations in quasicrystals canot be described on the basis of simple shear or insertion of a lattice plane only. In order to achieve a complete characterization of these dislocations it is advantageous to make use of the one to one correspondence of the lattice geometry in our three-dimensional space (R3) and that in the six-dimensional reference space (R6) where full periodicity is recovered . Therefore the contrast extinction condition has to be written as gpbp + gobo = 0 (1). The diffraction vector g and the Burgers vector b decompose into two vectors gp, bp and go, bo in, respectively, the physical and the orthogonal three-dimensional sub-spaces of R6.

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