Theory of quasiparticle scattering in a two-dimensional system of helical Dirac fermions: Surface band structure of a three-dimensional topological insulator

Systems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of considering multiple parameters (10 in a two-dimensional system) we focus on typical behaviors of nullclines. Conclusions about possible attractors are made.

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MORPHOLOGICAL EVOLUTION OF DROPLETS IN OSTWALD RIPENING

Modern Physics Letters B ◽

10.1142/s0217984991000083 ◽

1991 ◽

Vol 05 (01) ◽

pp. 57-63 ◽

Cited By ~ 2

Author(s):

TATSUHIRO IMAEDA ◽

KYOZI KAWASAKI

Keyword(s):

Ostwald Ripening ◽

Morphological Evolution ◽

Three Dimensional ◽

Computation Time ◽

Multipole Expansion ◽

Dimensional System ◽

Two Dimensional ◽

Ripening Process ◽

Expansion Theory ◽

Two Dimensional System

The multipole expansion theory presented recently by the authors for Ostwald ripening in a two-dimensional system is extended to apply to the three-dimensional ripening process. A fairly reasonable computation time is enough to simulate the morphological evolution of many droplets.

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HALF-SKYRMION IN SPINOR BOSE–EINSTEIN CONDENSATES

Modern Physics Letters B ◽

10.1142/s0217984913501832 ◽

2013 ◽

Vol 27 (25) ◽

pp. 1350183 ◽

Cited By ~ 2

Author(s):

YONG-KAI LIU ◽

CONG ZHANG ◽

SHI-JIE YANG

Keyword(s):

Exact Solutions ◽

Topological Charge ◽

Three Dimensional ◽

Dimensional System ◽

Two Dimensional ◽

Two Dimensional System ◽

Bose Einstein ◽

Nontrivial Topology

In this paper, we present exact solutions to the F = 1 spinor Bose–Einstein condensates with only spin-independent energy by adopting a method of separating the variables, which exhibit nontrivial topology. These solutions can form solitonic fractional vortex and solitonic half-skyrmion with a Q = 1/2 topological charge in the two-dimensional system. We further address a three-dimensional prototype solution.

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Open-framework sodium uranyl selenate and sodium uranyl sulfate with protonated morpholino-N-acetic acid

Zeitschrift für Kristallographie - Crystalline Materials ◽

10.1515/zkri-2018-2103 ◽

2019 ◽

Vol 234 (2) ◽

pp. 109-118 ◽

Cited By ~ 2

Author(s):

Oleg I. Siidra ◽

Evgeny V. Nazarchuk ◽

Dmitry O. Charkin ◽

Nikita V. Chukanov ◽

Alexander Yu. Zakharov ◽

...

Keyword(s):

Acetic Acid ◽

Sulfuric Acid ◽

Ir Spectroscopy ◽

Three Dimensional ◽

Dimensional System ◽

Two Dimensional ◽

Uranyl Sulfate ◽

Open Framework ◽

Two Dimensional System ◽

Framework Compounds

Abstract The reaction of sodium N-morpholine acetate with selenic and sulfuric acid and uranyl nitrate results in the formation of two novel open-framework compounds, |Na(Hmfa)|[(UO2)2(SeO4)3(H2O)](H2O)2 (NaUSe) and [Na2(SO3OH)(Hmfa)]|(UO2)(SO4)2| (NaUS), respectively. Despite identical synthetic procedures, sulfate structure dramatically differs from selenate compound. Their common feature is an open-framework featuring two-dimensional system of channels occupied by protonated morpholino-N-acetic acid species. Coordination of Na atoms is different. In NaUSe, [(UO2)2 (SeO4)3(H2O)]2− layers are pillared by {Na2O8(H2O)2(Hmfa)2} complexes to form a microporous framework. In NaUS, UO7 and SO4 polyhedra of [(UO2)(SO4)2]2− chains share common oxygen atoms with Na-centered tetrameric complexes providing a three-dimensional integrity of the structure. Both of the compounds are characterized by IR spectroscopy.

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