Correlated noise effect on the structure formation in the phase‐field crystal model

2020 ◽  
Author(s):  
Vladimir Ankudinov ◽  
Ilya Starodumov ◽  
Nikita P. Kryuchkov ◽  
Egor V. Yakovlev ◽  
Stanislav O. Yurchenko ◽  
...  
Keyword(s):  
Structure Formation ◽  
Phase Field ◽  
Correlated Noise ◽  
Noise Effect ◽  
Crystal Model ◽  
Phase Field Crystal

scholarly journals Structure diagram and dynamics of formation of hexagonal boron nitride in phase-field crystal model

2022 ◽  
Vol 380 (2217) ◽  
Author(s):  
V. Ankudinov ◽  
P. K. Galenko
Keyword(s):  
Boron Nitride ◽  
Phase Field ◽  
Binary Systems ◽  
Hexagonal Boron Nitride ◽  
Equilibrium Diagram ◽  
Hexagonal Phase ◽  
Correlated Noise ◽  
Structure Diagram ◽  
Crystal Model ◽  
Phase Field Crystal

The phase-field crystal (PFC-model) is a powerful tool for modelling of the crystallization in colloidal and metallic systems. In the present work, the modified hyperbolic phase-field crystal model for binary systems is presented. This model takes into account slow and fast dynamics of moving interfaces for both concentration and relative atomic number density (which were taken as order parameters). The model also includes specific mobilities for each dynamical field and correlated noise terms. The dynamics of chemical segregation with origination of mixed pseudo-hexagonal binary phase (the so-called ‘triangle phase’) is used as a benchmark in two spatial dimensions for the developing model. Using the free energy functional and specific lattice vectors for hexagonal crystal, the structure diagram of co-existence of liquid and three-dimensional hexagonal phase for the binary PFC-model was carried out. Parameters of the crystal lattice correspond to the hexagonal boron nitride (BN) crystal, the values of which have been taken from the literature. The paper shows the qualitative agreement between the developed structure diagram of the PFC model and the previously known equilibrium diagram for BN constructed using thermodynamic functions. This article is part of the theme issue ‘Transport phenomena in complex systems (part 2)’.

scholarly journals Calculations of isothermal elastic constants in the phase-field crystal model

2013 ◽  
Vol 87 (1) ◽  
Author(s):  
N. Pisutha-Arnond ◽  
V. W. L. Chan ◽  
K. R. Elder ◽  
K. Thornton
Keyword(s):  
Elastic Constants ◽  
Phase Field ◽  
Crystal Model ◽  
Phase Field Crystal

scholarly journals Phase-field-crystal model for ordered crystals

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
Eli Alster ◽  
K. R. Elder ◽  
Jeffrey J. Hoyt ◽  
Peter W. Voorhees
Keyword(s):  
Phase Field ◽  
Crystal Model ◽  
Phase Field Crystal

scholarly journals Multicomponent phase-field crystal model for structural transformations in metal alloys

2013 ◽  
Vol 87 (13) ◽  
Author(s):  
Nana Ofori-Opoku ◽  
Vahid Fallah ◽  
Michael Greenwood ◽  
Shahrzad Esmaeili ◽  
Nikolas Provatas
Keyword(s):  
Phase Field ◽  
Structural Transformations ◽  
Metal Alloys ◽  
Crystal Model ◽  
Phase Field Crystal
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