scholarly journals Evolution of planetary systems in dissipating gas disks

2010 ◽  
Vol 6 (S276) ◽  
pp. 504-505
Author(s):  
Soko Matsumura ◽  
Edward W. Thommes ◽  
Sourav Chatterjee ◽  
Frederic A. Rasio
Keyword(s):  
Planetary Systems ◽  
One Dimensional ◽  
Disk Evolution ◽  
Published Paper

AbstractIn a recently published paper Matsumura et al. (2010) (hereafter M10), we have studied the evolution of three-planet systems in dissipating gas disks by using a hybrid N-body and one-dimensional gas disk evolution code. In this article, we highlight some results which are only briefly mentioned in M10.

Pattern Formation by Inelastic Collisions, Especially in Planetary Systems

1998 ◽  
Vol 12 (03) ◽  
pp. 309-360
Author(s):  
Toshio Kawai
Keyword(s):  
Solar System ◽  
Inelastic Collision ◽  
Classical Mechanics ◽  
Planetary Systems ◽  
Gravitational Effect ◽  
Particle Systems ◽  
Inelastic Collisions ◽  
One Dimensional ◽  
Planetary Problem ◽  
History Of

The Titius–Bode law governs the planet distribution in our Solar system. In this paper a possible explanation is proposed based on inelastic collision effects among planetessimals during the evolution of the Solar system. The main purpose of this paper is, however, to introduce a strategy to study phenomena driven by rare but drastic events such as colllisions in the planetary problem. Many complex systems evolve through rare but violent events, so that an efficient strategy to simulate such systems is desirable. An event-driven strategy is proposed in this article, and is used to produce many runs of 108 year evolution history of planetary systems. I have found that the Titius–Bode law holds approximately, if the gravitational effect (scattering) and the collisions are taken into account. The result illustrates the importance of inelastic collisions, which are often neglected in the standard classical mechanics courses. Therefore, for completeness, other simpler particle systems under the effect of inelastc collisions, such as one-dimensional systems, are also included.

IMPLICIT EQUILIBRIUM DYNAMICS

2011 ◽  
Vol 16 (4) ◽  
pp. 518-555 ◽  
Author(s):  
Alfredo Medio ◽  
Brian Raines
Keyword(s):  
Inverse Limits ◽  
Mathematical Methods ◽  
One Dimensional ◽  
Equilibrium Dynamics ◽  
Dynamical Behaviors ◽  
Different Types ◽  
Dynamics And Control ◽  
Intertemporal Equilibrium ◽  
And Control ◽  
Published Paper

We discuss the problem known in economics as backward dynamics occurring in models of perfect foresight, intertemporal equilibrium described mathematically by implicit difference equations. In a previously published paper [Journal of Economic Dynamics and Control 31 (2007), 1633–1671], we showed that by means of certain mathematical methods and results known as inverse limits theory it is possible to establish a correspondence between the backward dynamics of a noninvertible map and the forward dynamics of a related invertible map acting on an appropriately defined space of sequences, each of whose elements corresponds to an intertemporal equilibrium. We also proved the existence of different types of topological attractors for one-dimensional models of overlapping generations. In this paper, we provide an extension of those results, constructing a Lebesgue-like probability measure on spaces of infinite sequences that allows us to distinguish typical from exceptional dynamical behaviors in a measure–theoretical sense, thus proving that all the topological attractors considered in MR07 are also metric attractors. We incidentally also prove that the existence of chaos (in the Devaney–Touhey sense) backward in time implies (and is implied by) chaos forward in time.

scholarly journals Circumstellar disk evolution: Constraining theories of planet formation

2008 ◽  
Vol 4 (S258) ◽  
pp. 111-122 ◽  
Author(s):  
Michael R. Meyer
Keyword(s):  
Planetary Systems ◽  
Circumstellar Disks ◽  
Theoretical Models ◽  
Circumstellar Disk ◽  
Milky Way Galaxy ◽  
Circumstellar Gas ◽  
History Of ◽  
Disk Evolution ◽  
Formation And Evolution ◽  
Stellar Properties

AbstractObservations of circumstellar disks around stars as a function of stellar properties such as mass, metallicity, multiplicity, and age, provide constraints on theories concerning the formation and evolution of planetary systems. Utilizing ground- and space-based data from the far–UV to the millimeter, astronomers can assess the amount, composition, and location of circumstellar gas and dust as a function of time. We review primarily results from the Spitzer Space Telescope, with reference to other ground- and space-based observations. Comparing these results with those from exoplanet search techniques, theoretical models, as well as the inferred history of our solar system, helps us to assess whether planetary systems like our own, and the potential for life that they represent, are common or rare in the Milky Way galaxy.

scholarly journals Dust Evolution in Protoplanetary Accretion Disks

1997 ◽  
Vol 163 ◽  
pp. 721-722 ◽  
Author(s):  
Th. Henning ◽  
W. Schmitt ◽  
R. Mucha
Keyword(s):  
Accretion Disk ◽  
Accretion Disks ◽  
Smoluchowski Equation ◽  
Time Dependent ◽  
One Dimensional ◽  
Coagulation Of Particles ◽  
Non Linear ◽  
Disk Evolution ◽  
Dust Evolution

AbstractWe have numerically investigated the dust evolution in a protoplanetary accretion disk which is described by a time-dependent one-dimensional (radial) α-model. The coagulation of particles due to cohesive collisions is calculated by solving the non-linear Smoluchowski equation. The feedback of the dust evolution and the related opacity changes to the disk evolution is explicitly treated. Three different regimes during the evolution of the grain population can be identified.

scholarly journals Correction: Poljak et al. Metallization-Induced Quantum Limits of Contact Resistance in Graphene Nanoribbons with One-Dimensional Contacts. Materials 2021, 14, 3670

Materials ◽  
2021 ◽  
Vol 14 (22) ◽  
pp. 6965
Author(s):  
Mirko Poljak ◽  
Mislav Matić
Keyword(s):  
Contact Resistance ◽  
Graphene Nanoribbons ◽  
One Dimensional ◽  
Al Metallization ◽  
Quantum Limits ◽  
Published Paper

The authors regret that the results presented in Figure 3c,d and Figure 6c,d in our published paper [...]

scholarly journals Comment on ``The one-dimensional harmonic oscillator damped with Caldirola--Kanai Hamiltonian''

2019 ◽  
Vol 65 (2 Jul-Dec) ◽  
pp. 103
Author(s):  
G. F. Torres del Castillo
Keyword(s):  
Harmonic Oscillator ◽  
One Dimensional ◽  
The One ◽  
Published Paper

Several conceptual errors in a recently published paper ({\it Rev.\ Mex.\ F\'{\i}s.\ E} {\bf 64} (2018) 47) dealing with the damped one-dimensional harmonic oscillator are pointed out.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

Structure and function of neural networks in the retina

1988 ◽  
Vol 46 ◽  
pp. 26-27
Author(s):  
Peter Sterling
Keyword(s):  
Ganglion Cells ◽  
Three Dimensional ◽  
Structure And Function ◽  
Synaptic Connections ◽  
Visual Axis ◽  
One Dimensional ◽  
Cat Retina ◽  
Ultrathin Sections ◽  
And Function ◽  
Insight Into

The synaptic connections in cat retina that link photoreceptors to ganglion cells have been analyzed quantitatively. Our approach has been to prepare serial, ultrathin sections and photograph en montage at low magnification (˜2000X) in the electron microscope. Six series, 100-300 sections long, have been prepared over the last decade. They derive from different cats but always from the same region of retina, about one degree from the center of the visual axis. The material has been analyzed by reconstructing adjacent neurons in each array and then identifying systematically the synaptic connections between arrays. Most reconstructions were done manually by tracing the outlines of processes in successive sections onto acetate sheets aligned on a cartoonist's jig. The tracings were then digitized, stacked by computer, and printed with the hidden lines removed. The results have provided rather than the usual one-dimensional account of pathways, a three-dimensional account of circuits. From this has emerged insight into the functional architecture.

Intergrowth of modulated structures in high Tc Bi-Sr-Ca-Cu-O superconductors

1990 ◽  
Vol 48 (4) ◽  
pp. 76-77
Author(s):  
A.Q. He ◽  
G.W. Qiao ◽  
J. Zhu ◽  
H.Q. Ye
Keyword(s):  
Twin Structure ◽  
Modulated Structure ◽  
High Tc ◽  
One Dimensional ◽  
Lattice Constants ◽  
Superconducting Phases ◽  
Modulated Structures ◽  
Layer Structures

Since the first discovery of high Tc Bi-Sr-Ca-Cu-O superconductor by Maeda et al, many EM works have been done on it. The results show that the superconducting phases have a type of ordered layer structures similar to that in Y-Ba-Cu-O system formulated in Bi2Sr2Can−1CunO2n+4 (n=1,2,3) (simply called 22(n-1) phase) with lattice constants of a=0.358, b=0.382nm but the length of c being different according to the different value of n in the formulate. Unlike the twin structure observed in the Y-Ba-Cu-O system, there is an incommensurate modulated structure in the superconducting phases of Bi system superconductors. Modulated wavelengths of both 1.3 and 2.7 nm have been observed in the 2212 phase. This communication mainly presents the intergrowth of these two kinds of one-dimensional modulated structures in 2212 phase.

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