scholarly journals Collective Excitations in Certain One-Dimensional Ising System with Extended Interactions

1977 ◽  
Vol 57 (4) ◽  
pp. 1209-1222 ◽  
Author(s):  
J.-i. Igarashi
Keyword(s):  
Collective Excitations ◽  
One Dimensional ◽  
Ising System

scholarly journals Collective excitations of trapped one-dimensional dipolar quantum gases

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
P. Pedri ◽  
S. De Palo ◽  
E. Orignac ◽  
R. Citro ◽  
M. L. Chiofalo
Keyword(s):  
Quantum Gases ◽  
Collective Excitations ◽  
One Dimensional

Free-energy fluctuations in a one-dimensional random Ising system

1990 ◽  
Vol 90-91 ◽  
pp. 351-352
Author(s):  
T. Tanaka ◽  
H. Fujisaka ◽  
M. Inoue
Keyword(s):  
Free Energy ◽  
One Dimensional ◽  
Ising System

scholarly journals FERROELECTRIC LIQUID CRYSTALS: FROM THE PLANE WAVE TO THE MULTISOLITON LIMIT

1995 ◽  
Vol 09 (18n19) ◽  
pp. 2321-2362 ◽  
Author(s):  
I. MUŠEVIČ ◽  
B. ŽEKŠ ◽  
R. BLINC ◽  
TH. RASING
Keyword(s):  
Plane Wave ◽  
Domain Walls ◽  
Soft Mode ◽  
Dynamic Properties ◽  
Band Gaps ◽  
Collective Excitations ◽  
Ferroelectric Liquid Crystals ◽  
One Dimensional ◽  
Photonic Band ◽  
Reentrant Phases

In the presence of external fields or in restricted geometries, the originally continuous helical symmetry of the Sm C* phase is broken by the appearence of field- or geometry-induced soliton-like domain walls. As a result of this symmetry breaking, a crossover between the plane-wave-like and soliton-like regime occurs in both static and dynamic properties which is responsible for some remarkable phenomena such as field-induced optical biaxiality or a field-induced band structure of collective excitations. Whereas we find in the plane-wave-like regime a degenerate soft mode which splits below the Sm A→Sm C* transition into a symmetry recovering Goldstone-phason-mode and an amplitudon mode, we find in the soliton regime a splitting of the phason mode into acoustic and optic-like branches separated by a band gap. Within the same framework we also discuss other remarkable and extraordinary properties such as reentrant phases, Lifshitz points, one dimensional photonic band gaps and thickness dependent phase diagrams.

scholarly journals CELLULAR AUTOMATON SUPERCOLLIDERS

2011 ◽  
Vol 22 (04) ◽  
pp. 419-439 ◽  
Author(s):  
GENARO J. MARTÍNEZ ◽  
ANDREW ADAMATZKY ◽  
CHRISTOPHER R. STEPHENS ◽  
ALEJANDRO F. HOEFLICH
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Elastic Collision ◽  
Collective Excitations ◽  
Compact Groups ◽  
Dimensional Torus ◽  
Nonlinear Media ◽  
One Dimensional ◽  
Spatially Extended ◽  
Binary Strings

Gliders in one-dimensional cellular automata are compact groups of non-quiescent and non-ether patterns (ether represents a periodic background) translating along automaton lattice. They are cellular automaton analogous of localizations or quasi-local collective excitations traveling in a spatially extended nonlinear medium. They can be considered as binary strings or symbols traveling along a one-dimensional ring, interacting with each other and changing their states, or symbolic values, as a result of interactions. We analyze what types of interaction occur between gliders traveling on a cellular automaton "cyclotron" and build a catalog of the most common reactions. We demonstrate that collisions between gliders emulate the basic types of interaction that occur between localizations in nonlinear media: fusion, elastic collision, and soliton-like collision. Computational outcomes of a swarm of gliders circling on a one-dimensional torus are analyzed via implementation of cyclic tag systems.

Time-dependent one-dimensional spin-1 Ising system with weak coupling

1997 ◽  
Vol 55 (5) ◽  
pp. 5343-5349 ◽  
Author(s):  
Mustafa Keskin ◽  
Paul H. E. Meijer
Keyword(s):  
Weak Coupling ◽  
Time Dependent ◽  
One Dimensional ◽  
Ising System
Sign in / Sign up

Export Citation Format

Share Document