scholarly journals Identifying mechanistically distinct pathways in kinetic transition networks

2019 ◽  
Vol 151 (12) ◽  
pp. 124101 ◽  
Author(s):  
Daniel J. Sharpe ◽  
David J. Wales
Keyword(s):  
Kinetic Transition ◽  
Transition Networks

scholarly journals Communication: Analysing kinetic transition networks for rare events

2014 ◽  
Vol 141 (4) ◽  
pp. 041104 ◽  
Author(s):  
Jacob D. Stevenson ◽  
David J. Wales
Keyword(s):  
Rare Events ◽  
Kinetic Transition ◽  
Transition Networks

scholarly journals Properties of kinetic transition networks for atomic clusters and glassy solids

2017 ◽  
Vol 19 (37) ◽  
pp. 25498-25508 ◽  
Author(s):  
John W. R. Morgan ◽  
Dhagash Mehta ◽  
David J. Wales
Keyword(s):  
Small World ◽  
Atomic Clusters ◽  
Scale Free ◽  
Kinetic Transition ◽  
Glassy Systems ◽  
Transition Networks

Small-world and scale-free properties are analysed for kinetic transition networks of clusters and glassy systems.

scholarly journals Kinetic Transition Networks for the Thomson Problem and Smale’s Seventh Problem

2016 ◽  
Vol 117 (2) ◽  
Author(s):  
Dhagash Mehta ◽  
Jianxu Chen ◽  
Danny Z. Chen ◽  
Halim Kusumaatmaja ◽  
David J. Wales
Keyword(s):  
Kinetic Transition ◽  
Thomson Problem ◽  
Transition Networks

Refined kinetic transition networks for the GB1 hairpin peptide

2009 ◽  
Vol 11 (18) ◽  
pp. 3341 ◽  
Author(s):  
Joanne M. Carr ◽  
David J. Wales
Keyword(s):  
Kinetic Transition ◽  
Transition Networks

Noise-induced kinetic transition in two-component environment

2021 ◽  
Vol 388 ◽  
pp. 113268
Author(s):  
Dmitry I. Iudin ◽  
Fedor D. Iudin ◽  
Artem A. Syssoev ◽  
Vitaly Yu. Klimashov ◽  
Alexey A. Emelyanov
Keyword(s):  
Kinetic Transition ◽  
Two Component

scholarly journals Kinetic transition in the order–disorder transformation at a solid/liquid interface

2018 ◽  
Vol 376 (2113) ◽  
pp. 20170207 ◽  
Author(s):  
P. K. Galenko ◽  
I. G. Nizovtseva ◽  
K. Reuther ◽  
M. Rettenmayr
Keyword(s):  
Long Range ◽  
Phase Field ◽  
Order Parameter ◽  
Numerical Solutions ◽  
Liquid Interface ◽  
Range Order ◽  
Field Analysis ◽  
Range Order Parameter ◽  
Long Range Order ◽  
Kinetic Transition

Phase-field analysis for the kinetic transition in an ordered crystal structure growing from an undercooled liquid is carried out. The results are interpreted on the basis of analytical and numerical solutions of equations describing the dynamics of the phase field, the long-range order parameter as well as the atomic diffusion within the crystal/liquid interface and in the bulk crystal. As an example, the growth of a binary A 50 B 50 crystal is described, and critical undercoolings at characteristic changes of growth velocity and the long-range order parameter are defined. For rapidly growing crystals, analogies and qualitative differences are found in comparison with known non-equilibrium effects, particularly solute trapping and disorder trapping. The results and model predictions are compared qualitatively with results of the theory of kinetic phase transitions (Chernov 1968 Sov. Phys. JETP 26 , 1182–1190) and with experimental data obtained for rapid dendritic solidification of congruently melting alloy with order–disorder transition (Hartmann et al. 2009 Europhys. Lett. 87 , 40007 ( doi:10.1209/0295-5075/87/40007 )). This article is part of the theme issue ‘From atomistic interfaces to dendritic patterns’.

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