The Frenkel–Kontorova Model

2005 ◽  
pp. 209-240 ◽  
Author(s):  
L.M. Floría ◽  
C Baesens ◽  
J. Gómez-Gardeñes
Keyword(s):  
Kontorova Model

The observation of solutions in Ni3Nb

1988 ◽  
Vol 46 ◽  
pp. 540-541
Author(s):  
Z.M. Wang ◽  
J.P. Zhang
Keyword(s):  
Electron Microscopy ◽  
High Resolution ◽  
Phase Modulation ◽  
High Resolution Electron Microscopy ◽  
Antiphase Domain ◽  
Boundary Area ◽  
Matrix Type ◽  
Resolution Electron ◽  
Domain Boundaries ◽  
Kontorova Model

High resolution electron microscopy reveals that antiphase domain boundaries in β-Ni3Nb have a hexagonal unit cell with lattice parameters ah=aβ and ch=bβ, where aβ and bβ are of the orthogonal β matrix. (See Figure 1.) Some of these boundaries can creep “upstairs” leaving an incoherent area, as shown in region P. When the stepped boundaries meet each other, they do not lose their own character. Our consideration in this work is to estimate the influnce of the natural misfit δ{(ab-aβ)/aβ≠0}. Defining the displacement field at the boundary as a phase modulation Φ(x), following the Frenkel-Kontorova model [2], we consider the boundary area to be made up of a two unit chain, the upper portion of which can move and the lower portion of the β matrix type, assumed to be fixed. (See the schematic pattern in Figure 2(a)).

Driven dynamics in an undamped Frenkel-Kontorova model in the presence of a quasiperiodic potential and a thermal bath

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
Lei Gao ◽  
Jianzhong Gu ◽  
Bambi Hu
Keyword(s):  
Thermal Bath ◽  
Quasiperiodic Potential ◽  
Kontorova Model

scholarly journals Collective transport in the discrete Frenkel-Kontorova model

2013 ◽  
Vol 88 (1) ◽  
Author(s):  
T. D. Swinburne
Keyword(s):  
Collective Transport ◽  
Kontorova Model

Kink dynamics and kink-pair nucleation in the discrete Frenkel-Kontorova model

1992 ◽  
Vol 45 (2) ◽  
pp. 1230-1237 ◽  
Author(s):  
T. Munakata
Keyword(s):  
Kink Pair ◽  
Kontorova Model

Configurational Phase Diagram of the Frenkel-Kontorova Model

1995 ◽  
Vol 119-120 ◽  
pp. 1-10
Author(s):  
Graeme E. Murch ◽  
S. Zhong ◽  
C.M. Bruff
Keyword(s):  
Phase Diagram ◽  
Kontorova Model

Stability of Single-Wave-Form Solutions in the Underdamped Frenkel–Kontorova Model

2008 ◽  
Vol 40 (3) ◽  
pp. 952-967 ◽  
Author(s):  
Wen-Xin Qin ◽  
Chun-Lan Xu ◽  
Xin Ma
Keyword(s):  
Wave Form ◽  
Single Wave ◽  
Kontorova Model

Thermally activated generation, motion and annihilation of localized modes in the Frenkel–Kontorova model

2002 ◽  
Vol 316-317 ◽  
pp. 129-131
Author(s):  
S.V. Dmitriev ◽  
T. Shigenari
Keyword(s):  
Localized Modes ◽  
Thermally Activated ◽  
Kontorova Model

Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials

2013 ◽  
Vol 114 (17) ◽  
pp. 174504 ◽  
Author(s):  
J. Tekić ◽  
P. Mali ◽  
Z. Ivić ◽  
M. Pantić
Keyword(s):  
Size Effect ◽  
Shapiro Steps ◽  
Kontorova Model
Sign in / Sign up

Export Citation Format

Share Document