Orientational order–disorder phase transitions in plastic molecular clusters: Projection of three-dimensional distributions onto a two-dimensional surface

1998 ◽  
Vol 109 (9) ◽  
pp. 3596-3599 ◽  
Author(s):  
Rossen A. Radev ◽  
Ana Proykova ◽  
Feng-Yin Li ◽  
R. Stephen Berry
Keyword(s):  
Phase Transitions ◽  
Orientational Order ◽  
Three Dimensional ◽  
Molecular Clusters ◽  
Two Dimensional ◽  
Dimensional Surface

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

On the Hysteresis of Adsorption on Solid Surfaces

1952 ◽  
Vol 5 (2) ◽  
pp. 288
Author(s):  
RG Wylie
Keyword(s):  
Phase Transitions ◽  
Solid Surface ◽  
Three Dimensional ◽  
Solid Surfaces ◽  
Two Dimensional ◽  
Capillary Effects ◽  
First Order ◽  
Adsorption Of Gases ◽  
First Order Phase ◽  
Hysteresis Phenomena

Hysteresis phenomena associated with the adsorption of gases on solid surfaces are usually explained in terms of three-dimensional capillary effects or with more or less unspecific reference to phase transitions. It is shown that hysteresis effects are to be expected when two dimensional phase transitions occur on solids. In the connection, the thermodynamic equation governing the equilibrium of small, incompressible two-dimensional phases is derived. Such phases can form on an imperfect solid surface in an irreversible manner and, as calculation shows, can contribute significantly to the hysteresis of adsorption. In some cases the phase change may be responsible for the whole effect. The diffuseness of first-order phase transitions may be due to the same mechanism.

Algorithm of Hardy Function Interpolation and its Visualization in the Formation of the Virtual Battlefield Terrain

2013 ◽  
Vol 709 ◽  
pp. 495-498
Author(s):  
Shi Bin Liu ◽  
Cheng Wang ◽  
Yan Ping Yang ◽  
Xing Yan Liu
Keyword(s):  
Three Dimensional ◽  
Reference Value ◽  
Two Dimensional ◽  
C Language ◽  
Hardy Function ◽  
Data Points ◽  
Comparison And Analysis ◽  
Searching Method ◽  
Dimensional Surface

this thesis puts forward the idea of using the searching method to retrieve two kinds of data points of the circle and the square to generate DEM data of the collected discrete points by means of using C# language and OpenGL DLL, thus realizing the visualization of the three-dimensional virtual terrain from contours on the two-dimensional surface. This thesis makes a comparison and analysis of the visualization effect which indicates that this algorithm is quick and effective. This research has a certain reference value for the formation of the virtual battlefield terrain.

scholarly journals Prediction of topological crystalline insulators and topological phase transitions in two-dimensional PbTe films

2017 ◽  
Vol 19 (43) ◽  
pp. 29647-29652 ◽  
Author(s):  
Yi-zhen Jia ◽  
Wei-xiao Ji ◽  
Chang-wen Zhang ◽  
Ping Li ◽  
Shu-feng Zhang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Three Dimensional ◽  
Topological Phases ◽  
Topological Phase ◽  
Two Dimensional ◽  
Topological Crystalline Insulators ◽  
Topological Phase Transitions

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored and observed experimentally in three-dimensional (3D) materials.

TWO-DIMENSIONAL HUME-ROTHERY PHASES

1990 ◽  
Vol 04 (13) ◽  
pp. 1983-1992
Author(s):  
R. S. MARKIEWICZ
Keyword(s):  
Phase Transitions ◽  
Fermi Surface ◽  
Three Dimensional ◽  
Organic Superconductors ◽  
Intercalation Compounds ◽  
Oxide Superconductors ◽  
Two Dimensional ◽  
Graphite Intercalation ◽  
Fermi Surface Nesting ◽  
The Individual

The traditional Hume-Rothery phases are Cu-bronzes or other (three-dimensional) alloys, which show a series of phase transitions at fixed electron-per-atom ratios, independent of the particular atomic constituents. The transitions are driven by Fermi surface nesting within the individual phases. It is shown that similar transitions appear to be a pervasive feature of two-dimensional systems. Examples are given involving graphite intercalation compounds, organic superconductors, and the new high T c oxide superconductors.

Controlling three-dimensional ice template via two-dimensional surface wetting

AIChE Journal ◽  
2016 ◽  
Vol 62 (12) ◽  
pp. 4186-4192 ◽  
Author(s):  
Miao Yang ◽  
Jingjun Wu ◽  
Hao Bai ◽  
Tao Xie ◽  
Qian Zhao ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Two Dimensional ◽  
Surface Wetting ◽  
Dimensional Surface
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