selected scholarly activity
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books
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chapters
- Dendritic Microstructure in Directional Solidification of Magnesium Alloys. 101-105. 2011
- Dendritic Growth. 2052-2058. 2001
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conferences
- Phase-Field Simulation of Solidification Behavior of AlSi10Mg Alloys Manufactured Through Direct Metal Laser Sintering. Minerals, Metals and Materials Series. 299-307. 2020
- Phase-Field Simulation of Microstructure Evolution in Direct Metal Laser Sintered AlSi10Mg. Minerals, Metals and Materials Series. 311-318. 2019
- Challenges and trends in SOC Electromagnetic (EM) Crosstalk. 2017 IEEE 2nd International Verification and Security Workshop (IVSW). 63-69. 2017
- Phase field analysis of solidification structures and interface composition in WC-Co Hardmetals. Proceedings Euro PM 2015: International Power Metallurgy Congress and Exhibition. 2015
- Dendrite orientation selection in magnesium-based alloys. 62nd International Astronautical Congress 2011, IAC 2011. 6099-6102. 2011
- Dendritic Microstructure in Directional Solidification of Magnesium Alloys. Magnesium Technology. 101-105. 2011
- Characterization of the Spacing Selection in AlCu Alloys. TMS 2010 139TH ANNUAL MEETING & EXHIBITION - SUPPLEMENTAL PROCEEDINGS, VOL 1: MATERIALS PROCESSING AND PROPERTIES. 105-110. 2010
- Effect of Filler Distribution and Caliper Variations on Toner Transfer in Electrophotographic Printing. NIP & Digital Fabrication Conference. 958-963. 2004
- Pattern Formation in Directional Solidification. Materials Research Society Symposium - Proceedings. 291-297. 2003
- Dielectric Variation In Paper and Its Effects On Electrophotographic Printing. NIP & Digital Fabrication Conference. 770-773. 2002
- Dielectric variation in paper and its effects on print density mottle in electrophotographic printing. Annual Meeting of the Pulp and Paper Technical Association of Canada (PAPTAC). 2002
- Modeling multiple length scales in solidification. INTEGRATION OF MATERIAL, PROCESS AND PRODUCT DESIGN. 175-181. 1999
- Modeling solidification using a phase-field model and adaptive mesh refinement. SOLIDIFICATION 1999. 151-160. 1999
- Structural properties of disordered fibre networks. Physica A: Statistical Mechanics and its Applications. 304-313. 1997
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journal articles
- Confinement effects on microstructure length scale selection in chill-cast stainless steel. Materialia. 38:102229. 2024
- Generalizing the structural phase field crystal approach for modeling solid-liquid-vapor phase transformations in pure materials. Physical Review Materials. 8:093402. 2024
- OpenPFC: an open-source framework for high performance 3D phase field crystal simulations. Modelling and Simulation in Materials Science and Engineering. 32:045002-045002. 2024
- Two dimensional phase field crystal study of thermo-density coupling: Thermal expansion, recalescence, and plasticity. Acta Materialia. 267:119712-119712. 2024
- Analysis of the self-consistency of nucleation in the diffuse interface limit of binary alloy phase field models. Physica Scripta. 99:015948-015948. 2024
- Phase field crystal models with applications to laser deposition: A review. Structural Dynamics. 11:014101. 2024
- Modelling of the Solidifying Microstructure of Inconel 718: Quasi-Binary Approximation. Modelling. 4:323-335. 2023
- Two-dimensional phase field crystal simulation of laser-induced recrystallization: A mechanism of grain-boundary phonon scattering and softening. Physical Review Materials. 7. 2023
- In situ study of Au nanoparticle formation in a mechanochemical-aging-based method. Nanoscale Advances. 5:2776-2784. 2023
- Hot cracking susceptibility prediction from quantitative multi-phase field simulations with grain boundary effects. Acta Materialia. 250:118821-118821. 2023
- Phase-field modeling of austenitic steels used in turbines. IOP Conference Series: Materials Science and Engineering. 1281:012047-012047. 2023
- Consistent representation of vapor phases in phase field crystal dynamics. Physical Review Materials. 7. 2023
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Direct observation by high resolution transmission electron microscopy of gold(
iii ) particle transformation during aging reduction reaction. Faraday Discussions. 241:278-288. 2023 - Time-scale investigation with the modified phase field crystal method. Modelling and Simulation in Materials Science and Engineering. 30:064001-064001. 2022
- Phase-field crystal model for materials with anomalous expansion during solidification and its application to the cavitation of supercooled water droplets. Physical Review Materials. 6. 2022
- Multiscale analysis of crystalline defect formation in rapid solidification of pure aluminium and aluminium–copper alloys. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380:20200319. 2022
- Improved multi-order parameter and multi-component model of polycrystalline solidification. Journal of Materials Science and Technology. 101:217-225. 2022
- Dislocation density in cellular rapid solidification using phase field modeling and crystal plasticity. International journal of plasticity. 148:103139-103139. 2022
- Capturing Dislocation Half-Loop Formation and Dynamics in Epitaxial Growth Atomistically at Diffusive Time Scales. Materialia. 20:101253-101253. 2021
- Connecting the phase-field-crystal model of electromigration with electronic and continuum theories. Physical Review Materials. 5. 2021
- Orientation Gradients in Rapidly Solidified Pure Aluminum Thin Films: Comparison of Experiments and Phase-Field Crystal Simulations. Physical Review Letters. 127:205701. 2021
- Characterizing the microstructural effect of build direction during solidification of laser-powder bed fusion of Al-Si alloys in the dilute limit: A phase-field study. Acta Materialia. 214:116983-116983. 2021
- Quantitative phase field simulations of polycrystalline solidification using a vector order parameter. Physical Review E. 103:053310. 2021
- Thermodynamics Model for Mechanochemical Synthesis of Gold Nanoparticles: Implications for Solvent-Free Nanoparticle Production. ACS Applied Nano Materials. 4:1886-1897. 2021
- Solute trapping in rapid solidification. MRS bulletin. 45:910-915. 2020
- Incorporating density jumps and species-conserving dynamics in XPFC binary alloys. Physical Review Materials. 4. 2020
- Controlling solid-liquid interfacial energy anisotropy through the isotropic liquid. Nature Communications. 11:724. 2020
- Phase field modeling of rapid resolidification of Al-Cu thin films. Journal of Crystal Growth. 532:125418-125418. 2020
- The significance of spatial length scales and solute segregation in strengthening rapid solidification microstructures of 316L stainless steel. Acta Materialia. 184:1-16. 2020
- Solidification microstructure simulation of Ti-6Al-4V in metal additive manufacturing: A review. Additive Manufacturing. 31:100989-100989. 2020
- Capturing the dynamics of Wigner crystals within the phase-field crystal method. Physical review B (PRB). 100. 2019
- Process-Structure-Properties-Performance Modeling for Selective Laser Melting. Metals. 9:1138-1138. 2019
- Thermodensity coupling in phase-field-crystal-type models for the study of rapid crystallization. Physical Review Materials. 3. 2019
- Quantitative phase field modeling of solute trapping and continuous growth kinetics in quasi-rapid solidification. Acta Materialia. 168:167-177. 2019
- Grain extraction and microstructural analysis method for two-dimensional poly and quasicrystalline solids. Physical Review Materials. 2. 2018
- Classical nucleation theory in the phase-field crystal model. Physical Review E. 97:042802. 2018
- A phase-field-crystal alloy model for late-stage solidification studies involving the interaction of solid, liquid and gas phases. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376:20170212-20170212. 2018
- Two-component structural phase-field crystal models for graphene symmetries. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376:20170211-20170211. 2018
- Quantitative 3D phase field modelling of solidification using next-generation adaptive mesh refinement. Computational Materials Science. 142:153-171. 2018
- Generalization of the binary structural phase field crystal model. Physical Review Materials. 1. 2017
- Investigating gas-phase defect formation in late-stage solidification using a novel phase-field crystal alloy model. Physical Review Materials. 1. 2017
- Nanoscale interfacial defect shedding in a growing nematic droplet. Physical Review E. 96:022707. 2017
- Liquid channel segregation and morphology and their relation with hot cracking susceptibility during columnar growth in binary alloys. Acta Materialia. 126:302-312. 2017
- Role of Stress-Driven Interfacial Instability in the Failure of Confined Electric Interconnects. Physical Review Applied. 7. 2017
- Analysis of thermodiffusive cellular instabilities in continuum combustion fronts. Physical Review E. 95:012219. 2017
- Incorporating Noise Quantitatively in the Phase Field Crystal Model via Capillary Fluctuation Theory. Physical Review Letters. 117:220601. 2016
- Phase-Field-Crystal Model for Electromigration in Metal Interconnects. Physical Review Letters. 117:155901. 2016
- Multiscale modeling of polycrystalline graphene: A comparison of structure and defect energies of realistic samples from phase field crystal models. Physical review B (PRB). 94. 2016
- Structural phase field crystal approach for modeling graphene and other two-dimensional structures. Physical review B (PRB). 93. 2016
- Cluster evolution mechanisms during aging in Al–Mg–Si alloys. Acta Materialia. 103:290-300. 2016
- Microscopic treatment of solute trapping and drag. Physical Review E. 93:010801. 2016
- Phase-field crystal approach for modeling the role of microstructure in multiferroic composite materials. Physical review B (PRB). 92. 2015
- Atomistic study of diffusion-mediated plasticity and creep using phase field crystal methods. Physical review B (PRB). 92. 2015
- Calculating the role of composition in the anisotropy of solid-liquid interface energy using phase-field-crystal theory. Physical Review E. 92:042405. 2015
- New Density Functional Approach for Solid-Liquid-Vapor Transitions in Pure Materials. Physical Review Letters. 114:155501. 2015
- Addendum to: “Atomistic investigation of clustering phenomenon in the Al–Cu system: Three-dimensional phase-field crystal simulation and HRTEM/HRSTEM characterization” [Acta Mater. 61 (2013) 6372–6386]. Acta Materialia. 83:470-472. 2015
- Atomic-scale pathway of early-stage precipitation in Al–Mg–Si alloys. Acta Materialia. 82:457-467. 2015
- Erratum: Advanced Ginzburg-Landau theory of freezing: A density-functional approach [Phys. Rev. B90, 104101 (2014)]. Physical review B (PRB). 90. 2014
- Advanced Ginzburg-Landau theory of freezing: A density-functional approach. Physical review B (PRB). 90. 2014
- Characterization of late-stage equiaxed solidification of alloys. Acta Materialia. 77:183-190. 2014
- Self-assembly via branching morphologies in nematic liquid-crystal nanocomposites. Physical Review E. 90:020501. 2014
- Phase field crystal modeling as a unified atomistic approach to defect dynamics. Physical review B (PRB). 89. 2014
- Beyond the Ginzburg-Landau theory of freezing: Anisotropy of the interfacial free energy in the Phase-Field Crystal model 2014
- Multiscale Modeling of Phase Transformations in Steels. JOM. 66:740-746. 2014
- Characterizing solute segregation and grain boundary energy in binary alloy phase field crystal models. Computational Materials Science. 81:493-502. 2014
- Atomistic investigation of clustering phenomenon in the Al–Cu system: Three-dimensional phase-field crystal simulation and HRTEM/HRSTEM characterization. Acta Materialia. 61:6372-6386. 2013
- Complex order parameter phase-field models derived from structural phase-field-crystal models. Physical review B (PRB). 88. 2013
- Atomistic Modeling of Solidification Phenomena Using the Phase-Field-Crystal Model. JOM. 65:1103-1110. 2013
- Phase-field-crystal model for magnetocrystalline interactions in isotropic ferromagnetic solids. Physical Review E. 88:032407. 2013
- Simulation of early-stage clustering in ternary metal alloys using the phase-field crystal method. Acta Materialia. 61:3653-3666. 2013
- Multicomponent phase-field crystal model for structural transformations in metal alloys. Physical review B (PRB). 87. 2013
- Phase-field-crystal study of solute trapping. Physical Review E. 87:022404. 2013
- Defect stability in phase-field crystal models: Stacking faults and partial dislocations. Physical review B (PRB). 86. 2012
- Phase-field-crystal model of phase and microstructural stability in driven nanocrystalline systems. Physical Review E. 86:066706. 2012
- Phase-field crystal modeling of early stage clustering and precipitation in metal alloys. Physical review B (PRB). 86. 2012
- Phase field crystal modeling of early stage precipitation and clustering 2012
- Microstructure analysis of AZ31 magnesium alloy welds using phase-field models. Acta Materialia. 60:5925-5932. 2012
- Evolution of microstructural length scales during solidification of magnesium alloys. Acta Materialia. 60:3287-3295. 2012
- Phase-field simulation of solidification morphology in laser powder deposition of Ti–Nb alloys. Acta Materialia. 60:1633-1646. 2012
- Orientation selection in solidification patterning. Acta Materialia. 60:657-663. 2012
- Modeling structural transformations in binary alloys with phase field crystals. Physical review B (PRB). 84. 2011
- Phase-field-crystal methodology for modeling of structural transformations. Physical Review E. 83:031601. 2011
- Phase-field study of spacing evolution during transient growth. Physical Review E. 82:051606. 2010
- Phase-field-crystal calculation of crystal-melt surface tension in binary alloys. Physical Review E. 82:041601. 2010
- Spacing characterization in Al–Cu alloys directionally solidified under transient growth conditions. Acta Materialia. 58:6115-6124. 2010
- Effective model hierarchies for dynamic and static classical density functional theories. Journal of Physics Condensed Matter. 22:364111-364111. 2010
- Phase-field-crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures. Physical Review E. 82:021605. 2010
- Free Energy Functionals for Efficient Phase Field Crystal Modeling of Structural Phase Transformations. Physical Review Letters. 105:045702. 2010
- A quantitative multi-phase field model of polycrystalline alloy solidification. Acta Materialia. 58:2155-2164. 2010
- Anelastic Behavior Modeling of SiC Whisker‐Reinforced Al2O3. Journal of The American Ceramic Society. 93:857-864. 2010
- Amplitude expansion of the binary phase-field-crystal model. Physical Review E. 81:011602. 2010
- Phase field crystal study of deformation and plasticity in nanocrystalline materials. Physical Review E. 80:046107. 2009
- Competition between surface energy and elastic anisotropies in the growth of coherent solid-state dendrites. Acta Materialia. 57:2613-2623. 2009
- Deriving surface-energy anisotropy for phenomenological phase-field models of solidification. Physical Review E. 79:011607. 2009
- Quantification of Rapidly Solidified Microstructure of Al-Fe Droplets Using Correlation Length Analysis. Metallurgical and Materials Transactions A. 40:196-203. 2009
- Predictive Design of Paper Microstructure for Xerographic Printing. Journal of Imaging Science and Technology. 52. 2008
- Modeling of scrap melting in the heel of an EAF. Iron and Steel Technology. 5:216-223. 2008
- Kinetics of Scrap Melting in Liquid Steel: Multipiece Scrap Melting. Metallurgical and Materials Transactions B. 39:268-279. 2008
- Quantitative phase-field modeling of solidification in binary alloys with nonlinear phase coexistence curves. Physical review B (PRB). 77. 2008
- The role of paper-nip interactions on electrostatic toner transfer forces in Xerographic printing. International Journal of Manufacturing Technology and Management. 14:52-52. 2008
- Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model. Physical Review E. 76:056706. 2007
- Using the phase-field crystal method in the multi-scale modeling of microstructure evolution. JOM. 59:83-90. 2007
- Phase-field crystal modeling and classical density functional theory of freezing. Physical review B (PRB). 75. 2007
- Modelling the role of paper microstructure in electrophotography. Modelling and Simulation in Materials Science and Engineering. 14:1447-1464. 2006
- Phase-field simulations of velocity selection in rapidly solidified binary alloys. Physical Review E. 74:031602. 2006
- Density Functional Theory of Freezing and Phase Field Crystal Modeling 2006
- Phase-Field Crystals with Elastic Interactions. Physical Review Letters. 96:225504. 2006
- MULTISCALE MODELING OF SOLIDIFICATION: PHASE-FIELD METHODS TO ADAPTIVE MESH REFINEMENT. International Journal of Modern Physics B. 19:4525-4565. 2005
- Scaling of domain size during spinodal decomposition: Dislocation discreteness and mobility effects. Applied Physics Letters. 87. 2005
- Kinetics of scrap melting in liquid steel. Metallurgical and Materials Transactions B. 36:293-302. 2005
- Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys. Physical Review Letters. 93:246101. 2004
- Phase-field modeling of steel scrap melting in a liquid steel bath. AISTech - Iron and Steel Technology Conference Proceedings. 1:833-843. 2004
- Modelling dielectric heterogeneity in electrophotography. Modelling and Simulation in Materials Science and Engineering. 12:91-107. 2004
- Seaweed to Dendrite Transition in Directional Solidification. Physical Review Letters. 91:155502. 2003
- Modelling paper structure and paper-press interactions. Journal of Pulp and Paper Science. 29:332-340. 2003
- Sharp interface limits of phase-field models. Physical Review E. 64:021604. 2001
- Solidification of a Supercooled Liquid in a Narrow Channel. Physical Review Letters. 86:5084-5087. 2001
- Solidification in a channel 2001
- Fiber deposition models in two and three spatial dimensions. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 165:209-229. 2000
- Crossover Scaling in Dendritic Evolution at Low Undercooling. Physical Review Letters. 82:4496-4499. 1999
- Erratum: Dynamics of driven interfaces near isotropic percolation transition [Phys. Rev. E58, 1514 (1998)]. Physical Review E. 59:3774-3775. 1999
- Universal dynamics of phase-field models for dendritic growth. Physical Review E. 59:R2546-R2549. 1999
- Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures. Journal of Computational Physics. 148:265-290. 1999
- Dynamics of driven interfaces near isotropic percolation transition. Physical Review E. 58:1514-1520. 1998
- Maunukselaet al.Reply:. Physical Review Letters. 80:5707-5707. 1998
- Efficient Computation of Dendritic Microstructures Using Adaptive Mesh Refinement. Physical Review Letters. 80:3308-3311. 1998
- Nucleation, growth, and scaling in slow combustion. Journal of Statistical Physics. 90:1401-1411. 1998
- Nucleation, growth, and scaling in slow combustion. Journal of Statistical Physics. 90:1401-1411. 1998
- Kinetic Roughening in Slow Combustion of Paper. Physical Review Letters. 79:1515-1518. 1997
- Growth, percolation, and correlations in disordered fiber networks. Journal of Statistical Physics. 87:385-413. 1997
- Density correlations in paper. Physical Review E. 54:R36-R38. 1996
- Phase-field model for activated reaction fronts. Physical review B (PRB). 53:6263-6272. 1996
- Growth and Structure of Random Fibre Clusters and Cluster Networks [Phys. Rev. Lett. 75, 3556 (1995)]. Physical Review Letters. 76:1181-1181. 1996
- Growth and Structure of Random Fibre Clusters and Cluster Networks. Physical Review Letters. 75:3556-3559. 1995
- Scaling, propagation, and kinetic roughening of flame fronts in random media. Journal of Statistical Physics. 81:737-759. 1995
- Flame propagation in random media. Physical Review E. 51:4232-4236. 1995
- Asymptotic periodicity and banded chaos. Physica D : Non-linear phenomena. 53:295-318. 1991
- Noise-induced asymptotic periodicity in a piecewise linear map. Journal of Statistical Physics. 63:585-612. 1991
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preprints
- Phase field crystal modelling of deformation assisted precipitation in binary alloys 2024
- Generalizing the structural phase field crystal approach for modeling solid-liquid-vapor phase transformations in pure materials 2024
- LeapFrog: Getting the Jump on Multi-Scale Materials Simulations Using Machine Learning 2024
- In situ Study of Au Nanoparticle Growth in a Mechanochemical-Aging-Based Synthesis 2022
- In situ Study of Au Nanoparticle Growth in a Mechanochemical-Aging-Based Synthesis 2022
- Hot Cracking Susceptibility Prediction from Quantitative Multi-Phase Field Simulations with Grain Boundary Effects 2022
- Multiscale analysis of crystal defect formation in rapid solidification of pure aluminium and aluminium-copper alloys 2021
- Orientation gradients in rapidly solidified pure aluminum thin films: comparison of experiments and phase-field crystal simulations 2021
- Efficient and quantitative phase field simulations of polycrystalline solidification using a vector order parameter 2021
- A Thermodynamics Model for Mechanochemical Synthesis of Gold Nanoparticles: Implications for Solvent-free Nanoparticle Production 2020
- Incorporating density jumps and species-conserving dynamics in XPFC binary alloys 2020
- Solidification Characteristics of Laser-Powder Bed Fused AlSi10Mg: Role of Building Direction 2020
- The Significance of Spatial Length Scales and Solute Segregation in Strengthening Rapid Solidification Microstructures of 316L Stainless Steel 2019
- Thermo-Density Coupling in PFC Type Models for the Study of Rapid Crystallization 2018
- Controlling solid-liquid interfacial energy anisotropy through the isotropic liquid 2018
- Quantitative phase field modeling of solute trapping and continuous growth kinetics in rapid solidification 2018
- Grain extraction and microstructural analysis method for two-dimensional poly and quasicrystalline solids 2018
- Classical nucleation theory in the phase-field crystal model 2017
- Analysis of Thermo-Diffusive Cellular Instabilities in Continuum Combustion Fronts 2016
- Multiscale modeling of polycrystalline graphene: A comparison of structure and defect energies of realistic samples from phase field crystal models 2016
- A New Structural Phase Field Crystal Approach for Modelling Graphene 2015
- An Atomistic Study of Diffusion-Mediated Plasticity and Creep using Phase Field Crystal Methods 2015
- New density functional approach for solid-liquid-vapor transitions in pure materials 2014
- Microscopic Treatment of Solute Trapping and Drag 2014
- Atomic-scale pathway of early-stage precipitation in Al-Mg-Si alloys 2014
- Phase Field Crystal Modeling as a Unified Atomistic Approach to Defect Dynamics 2014
- Complex order-parameter phase-field models derived from structural phase-field-crystal models 2013
- Phase Field Crystal Model for Magneto-Elasticity in Isotropic Ferromagnetic Solids 2013
- A Multi-Component Phase Field Crystal Model for Structural Transformations in Metal Alloys 2012
- A Phase Field Crystal Study of Solute Trapping 2012
- Simulation of Early-stage Clustering in Ternary Metal Alloys Using the Phase Field Crystal Method 2012
- Defect stability in phase-field crystal models: Stacking faults and partial dislocations 2012
- A Phase Field Crystal Model of Phase and Microstructural Stability in Driven Nanocrystalline Systems 2012
- Characterizing Solute Segregation and Grain Boundary Energy in a Binary Alloy Phase Field Crystal Model 2011
- Phase field crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures 2010
- Free energy functionals for efficient phase field crystal modeling of structural phase transformations 2010
- Spacing Characterization in Al-Cu Alloys Directionally Solidified Under Transient Growth Conditions 2010
- Amplitude expansion of the binary phase field crystal model 2009
- Competition between Surface Energy and Elastic Anisotropies in the Growth of Coherent Solid State Dendrites 2008
- Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model 2007
- Phase-field Crystals with Elastic Interactions 2006
- Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys 2004
- Sharp interface limits of phase-field models 2000
- Crossover Scaling in Dendritic Evolution at Low Undercooling 1998
- Universal Dynamics of Phase-Field Models for Dendritic Growth 1998
- Adaptive Mesh Refinement Computation of Solidification Microstructures using Dynamic Data Structures 1998
- Dynamics of driven interfaces near isotropic percolation transition 1998
- Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement 1997
- Nucleation, growth, and scaling in slow combustion 1997
- Growth, Percolation, and Correlations in Disordered Fiber Networks 1996
- Growth and Structure of Random Fibre Clusters and Cluster Networks 1995
- Scaling, Propagation, and Kinetic Roughening of Flame Fronts in Random Media 1995
- Flame propagation in random media 1994