Two-Dimensional Square-Grid versus One-Dimensional Double-Stranded Networks:  Counterion Regulation of the Formation of Macrocycle-Based Copper(I) Coordination Frameworks

2005 ◽  
Vol 5 (5) ◽  
pp. 1707-1709 ◽  
Author(s):  
Ki-Min Park ◽  
Il Yoon ◽  
Joobeom Seo ◽  
Ji-Eun Lee ◽  
Jineun Kim ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Square Grid ◽  
One Dimensional ◽  
Coordination Frameworks

One-Dimensional Looped Chain and Two-Dimensional Square Grid Coordination Polymers: Encapsulation of Bis(1,2,4-Triazole)-trans -cyclohexane into the Voids

2019 ◽  
Vol 2019 (5) ◽  
pp. 543-543
Author(s):  
Nayarassery N. Adarsh ◽  
Marinela M. Dîrtu ◽  
Philippe Guionneau ◽  
Eamonn Devlin ◽  
Yiannis Sanakis ◽  
...  
Keyword(s):  
Coordination Polymers ◽  
Two Dimensional ◽  
Square Grid ◽  
One Dimensional

scholarly journals Quantum graphs and dimensional crossover: the honeycomb

2019 ◽  
Vol 10 (1) ◽  
pp. 109-122 ◽  
Author(s):  
Riccardo Adami ◽  
Simone Dovetta ◽  
Alice Ruighi
Keyword(s):  
Ground States ◽  
Dimensional Crossover ◽  
Quantum Graphs ◽  
Graph Structure ◽  
Two Dimensional ◽  
Grid Graph ◽  
Metric Graphs ◽  
Square Grid ◽  
One Dimensional ◽  
Threshold Phenomena

Abstract We summarize features and results on the problem of the existence of Ground States for the Nonlinear Schrödinger Equation on doubly-periodic metric graphs. We extend the results known for the two–dimensional square grid graph to the honeycomb, made of infinitely-many identical hexagons. Specifically, we show how the coexistence between one–dimensional and two–dimensional scales in the graph structure leads to the emergence of threshold phenomena known as dimensional crossover.

One-Dimensional Looped Chain and Two-Dimensional Square Grid Coordination Polymers: Encapsulation of Bis(1,2,4-Triazole)-trans -cyclohexane into the Voids

2018 ◽  
Vol 2019 (5) ◽  
pp. 585-591 ◽  
Author(s):  
Nayarassery N. Adarsh ◽  
Marinela M. Dîrtu ◽  
Philippe Guionneau ◽  
Eamonn Devlin ◽  
Yiannis Sanakis ◽  
...  
Keyword(s):  
Coordination Polymers ◽  
Two Dimensional ◽  
Square Grid ◽  
One Dimensional

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.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

The formation of gas hydrates under shock wave impact on the bubble media (two-dimensional case)

2010 ◽  
Vol 7 ◽  
pp. 90-97
Author(s):  
M.N. Galimzianov ◽  
I.A. Chiglintsev ◽  
U.O. Agisheva ◽  
V.A. Buzina
Keyword(s):  
Shock Wave ◽  
Gas Hydrates ◽  
Hydrate Formation ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Wave Impact ◽  
Bubble Liquid ◽  
One Dimensional ◽  
Bubble Media ◽  
Main Factors

Formation of gas hydrates under shock wave impact on bubble media (two-dimensional case) The dynamics of plane one-dimensional shock waves applied to the available experimental data for the water–freon media is studied on the base of the theoretical model of the bubble liquid improved with taking into account possible hydrate formation. The scheme of accounting of the bubble crushing in a shock wave that is one of the main factors in the hydrate formation intensification with increasing shock wave amplitude is proposed.

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

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