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

Growth of different faces in a body centered cubic lattice: A case of the phase-field-crystal modeling

(2020) V. Ankudinov et al.   JOURNAL OF CRYSTAL GROWTH

Travelling-wave amplitudes as solutions of the phase-field crystal equation

(2018) I. G. Nizovtseva et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Phase-field crystal modeling of heteroepitaxy and exotic modes of crystal nucleation

(2017) Frigyes Podmaniczky et al.   JOURNAL OF CRYSTAL GROWTH

Three dimensional structures predicted by the modified phase field crystal equation

(2016) Jesus Bueno et al.   COMPUTATIONAL MATERIALS SCIENCE

Atomic density functional and diagram of structures in the phase field crystal model

(2016) V. E. Ankudinov et al.   JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Phase-field crystal equation with memory

(2016) Monica Conti et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Incorporating Noise Quantitatively in the Phase Field Crystal Model via Capillary Fluctuation Theory

(2016) Gabriel Kocher et al.   PHYSICAL REVIEW LETTERS

Traveling wave profiles for a crystalline front invading liquid states: Analytical and numerical solutions

(2015) P.K. Galenko et al.   PHYSICA D-NONLINEAR PHENOMENA

Robust exponential attractors for the modified phase-field crystal equation

(2015) Maurizio Grasselli et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

(2013) Arvind Baskaran et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Unconditionally stable method and numerical solution of the hyperbolic phase-field crystal equation

(2013) P. K. Galenko et al.   PHYSICAL REVIEW E

Coarse graining for the phase-field model of fast phase transitions

(2013) D. Jou et al.   PHYSICAL REVIEW E

Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview

(2012) Heike Emmerich et al.   ADVANCES IN PHYSICS

Thermodynamic consistency and fast dynamics in phase-field crystal modeling

(2012) M. Cheng et al.   PHILOSOPHICAL MAGAZINE LETTERS

Three-dimensional phase-field crystal modeling of fcc and bcc dendritic crystal growth

(2011) Sai Tang et al.   JOURNAL OF CRYSTAL GROWTH

Marginal stability analysis of the phase field crystal model in one spatial dimension

(2011) P. K. Galenko et al.   PHYSICAL REVIEW B

Effect of noise on ordering of hexagonal grains in a phase-field-crystal model

(2011) H. Ohnogi et al.   PHYSICAL REVIEW E

Unconditionally gradient-stable computational schemes in problems of fast phase transitions

(2011) Vladimir Lebedev et al.   PHYSICAL REVIEW E

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Polymorphism, crystal nucleation and growth in the phase-field crystal model in 2D and 3D

(2010) Gyula I Tóth et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Stochastic generalization for a hyperbolic model of spinodal decomposition

(2010) P.K. Galenko et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Phase-field-crystal and Swift-Hohenberg equations with fast dynamics

(2009) Peter Galenko et al.   PHYSICAL REVIEW E

Phase field crystal study of deformation and plasticity in nanocrystalline materials

(2009) Peter Stefanovic et al.   PHYSICAL REVIEW E

Derivation of the phase-field-crystal model for colloidal solidification

(2009) Sven van Teeffelen et al.   PHYSICAL REVIEW E

Diffusion-Controlled Anisotropic Growth of Stable and Metastable Crystal Polymorphs in the Phase-Field Crystal Model

(2009) G. Tegze et al.   PHYSICAL REVIEW LETTERS

Melting at dislocations and grain boundaries: A phase field crystal study

(2008) Joel Berry et al.   PHYSICAL REVIEW B

New Coarse-Grained Derivation of a Phase Field Model for Precipitation

(2008) Q. Bronchart et al.   PHYSICAL REVIEW LETTERS