Journal Articles
Abdalla, S, Archer, A, Granasy, L,
Toth, G (2022)
Thermodynamics, formation dynamics, and structural correlations in the bulk amorphous phase of the phase-field crystal model,
The Journal of Chemical Physics, 157(16), 164502, ISSN: 0021-9606. DOI:
10.1063/5.0114705.
Toth, G (2022)
Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles,
Physica D: Nonlinear Phenomena, 437, 133336, ISSN: 0167-2789. DOI:
10.1016/j.physd.2022.133336.
Vrugt, MT,
Toth, G, Wittkowski, R (2021)
Master equations for Wigner functions with spontaneous collapse and their relation to thermodynamic irreversibility,
Journal of Computational Electronics, 20(6), pp.2209-2231, ISSN: 1569-8025. DOI:
10.1007/s10825-021-01804-6.
Granasy, L, Ratkai, L,
Toth, G, Gilbert, P, Zlotnikov, I, Pusztai, T (2021)
Phase-field modeling of biomineralization in mollusks and corals: Microstructure vs formation mechanism,
Journal of the American Chemical Society, 1(7), pp.1014-1033, ISSN: 0002-7863. DOI:
10.1021/jacsau.1c00026.
He, B, Martin-Fabiani, I, Roth, R,
Toth, G, Archer, A (2021)
Dynamical density functional theory for the drying and stratification of binary colloidal dispersions,
Langmuir, 37(4), pp.1399-1409, ISSN: 0743-7463. DOI:
10.1021/acs.langmuir.0c02825.
Gránásy, L, Tóth, GI, Warren, JA, Podmaniczky, F, Tegze, G, Rátkai, L, Pusztai, T (2019)
Phase-field modeling of crystal nucleation in undercooled liquids – A review,
Progress in Materials Science, pp.100569-100569, ISSN: 0079-6425. DOI:
10.1016/j.pmatsci.2019.05.002.
Podmaniczky, F,
Toth, G, Tegze, G, Granasy, L (2017)
Hydrodynamic theory of freezing: nucleation and polycrystalline growth,
Physical Review E, 95(5), ISSN: 2470-0045. DOI:
10.1103/PhysRevE.95.052801.
Rátkai, L, Tóth, GI, Környei, L, Pusztai, T, Gránásy, L (2017)
Phase-field modeling of eutectic structures on the nanoscale: the effect of anisotropy,
Journal of Materials Science, 52(10), pp.5544-5558, ISSN: 0022-2461. DOI:
10.1007/s10853-017-0853-8.
Toth, G, Selvag, J, Kvamme, B (2017)
Phenomenological continuum theory of asphaltene-stabilized oil/water emulsions,
Energy & Fuels, 31(2), pp.1218-1225, ISSN: 0887-0624. DOI:
10.1021/acs.energyfuels.6b02430.
Korbuly, B, Pusztai, T,
Toth, G, Henry, H, Plapp, M, Granasy, L (2017)
Orientation-field models for polycrystalline solidification: grain coarsening and complex growth forms,
Journal of Crystal Growth, 457, pp.32-37, ISSN: 0022-0248. DOI:
10.1016/j.jcrysgro.2016.06.040.
Podmaniczky, F,
Toth, G, Tegze, G, Pusztai, T, Granasy, L (2017)
Phase-field crystal modeling of heteroepitaxy and exotic modes of crystal nucleation,
Journal of Crystal Growth, 457, pp.24-31, ISSN: 0022-0248. DOI:
10.1016/j.jcrysgro.2016.06.056.
Toth, G (2016)
Phase-field modeling of isothermal quasi-incompressible multicomponent liquids,
Physical Review E, 94(3), ISSN: 2470-0045. DOI:
10.1103/PhysRevE.94.033114.
Toth, G, Zarifi, M, Kvamme, B (2016)
Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids,
Physical Review E, 93(1), ISSN: 2470-0045. DOI:
10.1103/PhysRevE.93.013126.
Podmaniczky, F,
Toth, G, Pusztai, T, Granasy, L (2016)
Investigating nucleation using the phase-field method,
Journal of the Indian Institute of Science, 96(3), pp.161-178, ISSN: 0019-4964.
Toth, G, Pusztai, T, Granasy, L (2015)
Consistent multiphase-field theory for interface-driven multidomain dynamics,
Physical Review B, 92, 184105, ISSN: 1098-0121. DOI:
10.1103/PhysRevB.92.184105.
Podmaniczky, F,
Toth, G, Tegze, G, Granasy, L (2015)
Recent developments in modeling heteroepitaxy/heterogeneous nucleation by dynamical density functional theory,
Metallurgical and Materials Transactions A, 46(11), pp.4908-4920, ISSN: 1073-5623. DOI:
10.1007/s11661-015-2986-1.
Toth, G and Kvamme, B (2015)
Analysis of Ginzburg-Landau-type models of surfactant-assisted liquid phase separation,
Physical Review E, 91(3), ISSN: 1539-3755. DOI:
10.1103/PhysRevE.91.032404.
Toth, G and Kvamme, B (2015)
Phase field modelling of spinodal decomposition in the oil/water/asphaltene system,
Phys. Chem. Chem. Phys, 17(31), pp.20259-20273, ISSN: 1463-9076. DOI:
10.1039/C5CP02357B.
Tóth, GI and Provatas, N (2014)
Erratum: Advanced Ginzburg-Landau theory of freezing: A density-functional approach [Phys. Rev. B90, 104101 (2014)],
Physical Review B, 90(17), 179901, ISSN: 1098-0121. DOI:
10.1103/physrevb.90.179901.
Granasy, L, Ratkai, L, Szallas, A, Korbuly, B,
Toth, G, Kornyei, L, Pusztai, T (2014)
Phase-field modeling of polycrystalline solidification, from needle crystals to spherulites: a review,
Metallurgical and Materials Transactions A, 45(4), pp.1694-1719, ISSN: 1073-5623. DOI:
10.1007/s11661-013-1988-0.
Granasy, L, Podmaniczky, F,
Toth, G, Tegze, G, Pusztai, T (2014)
Heterogeneous nucleation of/on nanoparticles: a density functional study using the phase-field crystal model,
Chemical Society Reviews, 43(7), pp.2159-2159, ISSN: 0306-0012. DOI:
10.1039/c3cs60225g.
Podmaniczky, F,
Toth, G, Pusztai, T, Granasy, L (2014)
Free energy of the bcc–liquid interface and the Wulff shape as predicted by the phase-field crystal model,
Journal of Crystal Growth, 385, pp.148-153, ISSN: 0022-0248. DOI:
10.1016/j.jcrysgro.2013.01.036.
Toth, G and Provatas, N (2014)
Advanced Ginzburg–Landau theory of freezing: a density-functional approach,
Physical Review B, 90(10), ISSN: 1098-0121. DOI:
10.1103/PhysRevB.90.104101.
Toth, G, Granasy, L, Tegze, G (2014)
Nonlinear hydrodynamic theory of crystallization,
Journal of Physics: Condensed Matter, 26(5), pp.055001-055001, ISSN: 0953-8984. DOI:
10.1088/0953-8984/26/5/055001.
Granasy, L and
Toth, G (2013)
Crystallization: colloidal suspense,
Nature Physics, 10(1), pp.12-13, ISSN: 1745-2473. DOI:
10.1038/nphys2849.
Tegze, G and Tóth, GI (2012)
Osmotic convection-driven instability and cellular eutectic growth in binary systems,
Acta Materialia, 60(4), pp.1689-1694, ISSN: 1359-6454. DOI:
10.1016/j.actamat.2011.12.010.
Tóth, GI, Tegze, G, Pusztai, T, Gránásy, L (2012)
Heterogeneous Crystal Nucleation: The Effect of Lattice Mismatch,
Physical Review Letters, 108(2), 025502, ISSN: 0031-9007. DOI:
10.1103/physrevlett.108.025502.
Emmerich, H, Lowen, H, Wittkowski, R, Gruhn, T,
Toth, G, Tegze, G, Granasy, L (2012)
Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview,
Advances in Physics, 61(6), pp.665-743, ISSN: 0001-8732. DOI:
10.1080/00018732.2012.737555.
Tóth, GI, Pusztai, T, Tegze, G, Tóth, G, Gránásy, L (2011)
Amorphous Nucleation Precursor in Highly Nonequilibrium Fluids,
Physical Review Letters, 107(17), 175702, ISSN: 0031-9007. DOI:
10.1103/physrevlett.107.175702.
Tegze, G, Tóth, GI, Gránásy, L (2011)
Faceting and Branching in 2D Crystal Growth,
Physical Review Letters, 106(19), 195502, ISSN: 0031-9007. DOI:
10.1103/physrevlett.106.195502.
Tóth, GI, Morris, JR, Gránásy, L (2011)
Ginzburg-Landau-Type Multiphase Field Model for Competing fcc and bcc Nucleation,
Physical Review Letters, 106(4), 045701, ISSN: 0031-9007. DOI:
10.1103/physrevlett.106.045701.
Gránásy, L, Tegze, G, Tóth, GI, Pusztai, T (2011)
Phase-field crystal modelling of crystal nucleation, heteroepitaxy and patterning,
Philosophical Magazine, 91(1), pp.123-149, ISSN: 1478-6435. DOI:
10.1080/14786435.2010.487476.
Tegze, G, Gránásy, L, Tóth, GI, Douglas, JF, Pusztai, T (2011)
Tuning the structure of non-equilibrium soft materials by varying the thermodynamic driving force for crystal ordering,
Soft Matter, 7(5), pp.1789-1799, ISSN: 1744-683X. DOI:
10.1039/c0sm00944j.
Tóth, GI, Tegze, G, Pusztai, T, Tóth, G, Gránásy, L (2010)
Polymorphism, crystal nucleation and growth in the phase-field crystal model in 2D and 3D,
Journal of Physics: Condensed Matter, 22(36), pp.364101-364101, ISSN: 0953-8984. DOI:
10.1088/0953-8984/22/36/364101.
Tegze, G, Gránásy, L, Tóth, GI, Podmaniczky, F, Jaatinen, A, Ala-Nissila, T, Pusztai, T (2009)
Diffusion-Controlled Anisotropic Growth of Stable and Metastable Crystal Polymorphs in the Phase-Field Crystal Model,
Physical Review Letters, 103(3), 035702, ISSN: 0031-9007. DOI:
10.1103/physrevlett.103.035702.
Tóth, GI and Gránásy, L (2009)
Crystal Nucleation in the Hard-Sphere System Revisited: A Critical Test of Theoretical Approaches,
The Journal of Physical Chemistry B, 113(15), pp.5141-5148, ISSN: 1520-6106. DOI:
10.1021/jp8097439.
Tegze, G, Bansel, G, Tóth, GI, Pusztai, T, Fan, Z, Gránásy, L (2009)
Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients,
Journal of Computational Physics, 228(5), pp.1612-1623, ISSN: 0021-9991. DOI:
10.1016/j.jcp.2008.11.011.
Pusztai, T, Tegze, G, Tóth, GI, Környei, L, Bansel, G, Fan, Z, Gránásy, L (2008)
Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation,
Journal of Physics: Condensed Matter, 20(40), pp.404205-404205, ISSN: 0953-8984. DOI:
10.1088/0953-8984/20/40/404205.
Löser, W, Hermann, R, Woodcock, TG, Fransaer, J, Krivilyov, M, Gránásy, L,
Toth, GI, Herlach, DM, Holland-Moritz, D, Kolbe, M, Volkmann, T (2008)
Nucleation and phase selection in undercooled melts: Magnetic alloys of industrial relevance (MAGNEPHAS),
Journal of the Japan Society of Microgravity Application, 25(3), pp.495-500.
Tóth, GI and Gránásy, L (2007)
Phase field theory of interfaces and crystal nucleation in a eutectic system of fcc structure: II. Nucleation in the metastable liquid immiscibility region,
The Journal of Chemical Physics, 127(7), ISSN: 0021-9606. DOI:
10.1063/1.2752506.
Tóth, GI and Gránásy, L (2007)
Phase field theory of interfaces and crystal nucleation in a eutectic system of fcc structure: I. Transitions in the one-phase liquid region,
The Journal of Chemical Physics, 127(7), ISSN: 0021-9606. DOI:
10.1063/1.2752505.
Gránásy, L, Pusztai, T, Börzsönyi, T, Tóth, GI, Tegze, G, Warren, JA, Douglas, JF (2006)
Polycrystalline patterns in far-from-equilibrium freezing: a phase field study,
Philosophical Magazine, 86(24), pp.3757-3778, ISSN: 1478-6435. DOI:
10.1080/14786430500198569.
Tegze, G, Pusztai, T, Tóth, G, Gránásy, L, Svandal, A, Buanes, T, Kuznetsova, T, Kvamme, B (2006)
Multiscale approach to CO2 hydrate formation in aqueous solution: Phase field theory and molecular dynamics. Nucleation and growth,
The Journal of Chemical Physics, 124(23), ISSN: 0021-9606. DOI:
10.1063/1.2207138.
Gránásy, L, Pusztai, T, Börzsönyi, T, Tóth, G, Tegze, G, Warren, JA, Douglas, JF (2006)
Phase field theory of crystal nucleation and polycrystalline growth: A review,
Journal of Materials Research, 21(2), pp.309-319, ISSN: 0884-2914. DOI:
10.1557/jmr.2006.0011.
Kvamme, B, Graue, A, Aspenes, E, Kuznetsova, T, Gránásy, L, Tóth, G, Pusztai, T, Tegze, G (2004)
Kinetics of solid hydrate formation by carbon dioxide: Phase field theory of hydrate nucleation and magnetic resonance imaging,
Phys. Chem. Chem. Phys, 6(9), pp.2327-2334, ISSN: 1463-9076. DOI:
10.1039/b311202k.
Gránásy, L, Pusztai, T, Tóth, G, Jurek, Z, Conti, M, Kvamme, B (2003)
Phase field theory of crystal nucleation in hard sphere liquid,
The Journal of Chemical Physics, 119(19), pp.10376-10382, ISSN: 0021-9606. DOI:
10.1063/1.1618213.
Toth, GI and Ma, W (Accepted for publication) Phase-field modelling of the effect of density change on solidification
revisited: Model development and analytical solutions for single component
materials, DOI: 10.1088/1361-648X/ab670e.
Toth, GI (Accepted for publication) Exact hydrodynamic equations to the classical many-body problem in the
macroscopic limit.
