Modulated Phases Observed in Reacting Polymer Mixtures with Competing Interactions

1997 ◽  
Vol 30 (6) ◽  
pp. 1643-1650 ◽  
Author(s):  
Asuka Harada ◽  
Qui Tran-Cong
Keyword(s):  
Polymer Mixtures ◽  
Competing Interactions ◽  
Modulated Phases

Modulated phases and structural arrest in colloidal systems with competing interactions

2011 ◽  
Vol 109 (23-24) ◽  
pp. 2981-2987 ◽  
Author(s):  
A. Coniglio ◽  
A. de Candia ◽  
A. Fierro
Keyword(s):  
Colloidal Systems ◽  
Competing Interactions ◽  
Modulated Phases

LYAPUNOV EXPONENTS AND MODULATED PHASES OF AN ISING MODEL ON CAYLEY TREE OF ARBITRARY ORDER

2012 ◽  
Vol 23 (05) ◽  
pp. 1250039 ◽  
Author(s):  
SELMAN UGUZ ◽  
NASIR GANIKHODJAEV ◽  
HASAN AKIN ◽  
SEYIT TEMIR
Keyword(s):  
Cayley Tree ◽  
Nearest Neighbor ◽  
Arbitrary Order ◽  
Neighbor Interaction ◽  
Competing Interactions ◽  
Modulated Phases ◽  
Iterative System ◽  
Lattice Spin Systems ◽  
Different Types ◽  
Modulated Phase

Different types of the lattice spin systems with the competing interactions have rich and interesting phase diagrams. In this study a system with competing nearest-neighbor interaction J1, prolonged next-nearest-neighbor interaction Jp and ternary prolonged interaction Jtp is considered on a Cayley tree of arbitrary order k. To perform this study, an iterative scheme is developed for the corresponding Hamiltonian model. At finite temperatures several interesting properties are presented for typical values of α = T/J1, β = −Jp/J1 and γ = -Jtp/J1. This study recovers as particular cases, previous work by Vannimenus1 with γ = 0 for k = 2 and Ganikhodjaev et al.2 in the presence J1, Jp, Jtp with k = 2. The variation of the wavevector q with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of our iterative system are studied in detail.

Modulated Phases in the Simple Hexagonal Ising Lattice with Competing Interactions

1984 ◽  
Vol 53 (6) ◽  
pp. 1971-1982 ◽  
Author(s):  
Makoto Kaburagi ◽  
Takashi Tonegawa ◽  
Junjiro Kanamori
Keyword(s):  
Ising Lattice ◽  
Competing Interactions ◽  
Modulated Phases

Incommensurate modulated phases of the NbxTa1-xTe4 charge density wave system

1992 ◽  
Vol 50 (1) ◽  
pp. 58-59
Author(s):  
S. Ritchie ◽  
J. C. Bennett ◽  
A. Prodan ◽  
F.W. Boswell ◽  
J.M. Corbett
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Direct Evidence ◽  
Density Wave ◽  
Wave System ◽  
Modulated Phases ◽  
Metal Atoms ◽  
Incommensurate Modulation ◽  
End Members ◽  
Modulation Wave Vector

A continuous sequence of compounds having composition NbxTa1-xTe4; 0 ≤ x ≤ 1 have been studied by electron diffraction and microscopy. Previous studies have shown that the end members of the series, TaTε4 and NbTε4 possess a quasi-one-dimensional character and exhibit charge density wave (CDW) distortions. In these compounds, the subcell structure is tetragonal with axes (a × a × c) and consists of the metal atoms (Nb or Ta) centered within an extended antiprismatic cage of Te atoms. At room temperature, TaTε4 has a commensurate modulation structure with a 2a × 2a × 3c unit cell. In NbTε4, an incommensurate modulation with × ∼ 16c axes is observed. Preliminary studies of the mixed compounds NbxTα1-xTε4 showed a discontinuous jump of the modulation wave vector commensurate to incommensurate when the Nb dopant concentration x, exceeded x ≃ 0.3, In this paper, the nature of the compositional dependence of is studied in greater detail and evidence is presented for a stepwise variation of . This constitutes the first direct evidence for a Devil's staircase in CDW materials.

SPIN ONE ISING MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions
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