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Simulation Study of Phase Transition of Diblock Copolymers
Sang-Byung Park Polymer Materials Physics Laboratory, POSTECH 1
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Polymer Materials Physics Laboratory, POSTECH
Self-assembled phases of the block copolymers Segalman, R. A. Mater. Sci. Eng. 2005, R48, 191 Polymer Materials Physics Laboratory, POSTECH 2
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Polymer Materials Physics Laboratory, POSTECH
OCTA 2007 Integrated simulation system for soft materials GOURMET : Graphical Open User interface foR Multi-scale analysis EnvironmenT COGNAC : COarse-Grained molecular dynamics program by NAgoya Cooperation PASTA : Polymer rheology Analyzer with Slip-link model of enTAnglement SUSHI : Simulation Utilities for Soft and Hard Interfaces MUFFIN : MUltiFarious FIeld simulatior for Non-equilibrium system Polymer Materials Physics Laboratory, POSTECH 3
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Polymer Materials Physics Laboratory, POSTECH
COGNAC COarse-Grained molecular dynamics program by NAgoya Cooperation Coarse-grained model United atom model - A methylene (CH2) unit is represented by single mass point Gay-Berne potential model - A rigid part of molecule is represented by single ellipsoid Bead-spring model - Several monomer units are represented by single bead (mass point) Basic functions Molecular dynamics Langevin dynamics Energy minimization Potential functions Two, three, and four body bonding potential Non-bonding interaction, e.g. LJ, GB, Coulomb External potential, e.g. electric field, solid wall Polymer Materials Physics Laboratory, POSTECH 4
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Polymer Materials Physics Laboratory, POSTECH
Dynamics algorithm Polymer Materials Physics Laboratory, POSTECH 5
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Dynamics algorithm NVE : Micro canonical ensemble
NVT_Nose_Hoover : Temperature control by the Nose-Hoover method NVT_Berendsen : Temperature control by loose-coupling method NVT_Kremer_Grest : Temperature control by random force (Langevin dynamics) NPH_Andersen : Pressure control by the Andersen extended Hamiltonian method NPH_Parrinello_Rahman : Anisotropic pressure control by the Parrinello-Rahman extented Hamiltonian method NPH_Brown_Clarke : Anisotropic pressure control by loose-coupling method NPT_Andersen_Nose_Hoover : NPH_Andersen + NVT_Nose_Hoover NPT_Andersen_Kremer_Grest : NPH_Andersen + NVT_Kremer_Grest NPT_Parrinello_Rahman_Nose_Hoover : NPH_Parrinello_Rahman + NVT_Nose_Hoover NPT_Parrinello_Rahman_Kremer_Grest : NPH_Parrinello_Rahman + NVT_Kremer_Grest NPT_Berendsen : Pressure and temperature control by loose-coupling method (Only isotropic) NPT_Brown_Clarke : Pressure and temperature control by loose-coupling method (Anisotropic is possible) SLLOD_T_Const : Shear flow by SLLOD+Lees-Edwards boundary conditions, and temperature control by the constraint method SLLOD_PT_Const : SLLOD_T_Const + c axis of the unit cell changes DPD : Dissipatice particle dynamics
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Used Potential R0 = 1.0σ Rmax = 1.5σ k = 30ε/σ2 σ = 1.0σ ε = 1.0ε
Used bond stretching potential R0 = 1.0σ Rmax = 1.5σ k = 30ε/σ2 σ = 1.0σ ε = 1.0ε rcut = σ
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NVT_Kremer_Grest (Langevin dynamics)
Friction constant Г = 0.5
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How to control the temperature ?
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Polymer Materials Physics Laboratory, POSTECH
Self-assembled phases of the block copolymers Segalman, R. A. Mater. Sci. Eng. 2005, R48, 191 Polymer Materials Physics Laboratory, POSTECH 10
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Polymer Materials Physics Laboratory, POSTECH
SUSHI Simulation Utilities for Soft and Hard Interface SUSHI calculates the equilibrium and non-equilibrium structures in polymer blends and block copolymers by solving the self-consistent Edwards equation. Parameters for running the SUSHI Controlling parameters for the SCF calculation Spatial mesh Components of the system and their compositions χ-parameters for the interactions between segments External conditions, by which the regions of the A and B domains are specified. Polymer Materials Physics Laboratory, POSTECH 11
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Experimental condition of SUSHI engine
1 NA = 15 NB = 15 χ = 0.2~1 2 NA = 10 NB = 20 χ = 0.2~1 3 NA = 5 NB = 25 χ = 0.2~1
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Results of SUSHI engine
NA=NB=15, χ=0.3 NA=NB=15, χ=0.4 NA=NB=15, χ=0.5 χN=9, φ=0.5 χN=12, φ=0.5 χN=15, φ=0.5
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Results of SUSHI engine
NA=10 NB=20, χ=0.4 NA=10 NB=20, χ=0.5 NA=10 NB=20, χ=0.6 χN=9, φA=0.33 χN=12, φA=0.33 χN=15, φA=0.33
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