COGNACのコンセプト \(COarse Grained molecular dynamics program developed by NAgoya Cooperation\)

Similar documents
OCTAプロジェクト:物質の多階層シミュレーション

MUFFIN3

スライド タイトルなし

4/15 No.

19 σ = P/A o σ B Maximum tensile strength σ % 0.2% proof stress σ EL Elastic limit Work hardening coefficient failure necking σ PL Proportional

80 4 r ˆρ i (r, t) δ(r x i (t)) (4.1) x i (t) ρ i ˆρ i t = 0 i r 0 t(> 0) j r 0 + r < δ(r 0 x i (0))δ(r 0 + r x j (t)) > (4.2) r r 0 G i j (r, t) dr 0

untitled


D v D F v/d F v D F η v D (3.2) (a) F=0 (b) v=const. D F v Newtonian fluid σ ė σ = ηė (2.2) ė kl σ ij = D ijkl ė kl D ijkl (2.14) ė ij (3.3) µ η visco

株式会社ローソン 第26期中間事業報告書

PDF

211 ‚æ2fiúŒÚ

Oregano

SAXS Table 1 DSC POM SAXSSAXS PF BL-10C BL-15A Fig. 2 LC12 DSC SAXS 138 C T iso T iso SAXS q=1.4 nm -1 q=(4π/λ)sin(θ/2), λ:, θ: Fig. 3 LC12 T iso Figu

Sample function Re random process Flutter, Galloping, etc. ensemble (mean value) N 1 µ = lim xk( t1) N k = 1 N autocorrelation function N 1 R( t1, t1

42 1 Fig. 2. Li 2 B 4 O 7 crystals with 3inches and 4inches in diameter. Fig. 4. Transmission curve of Li 2 B 4 O 7 crystal. Fig. 5. Refractive index

i

( ) ) AGD 2) 7) 1

BIT -2-

untitled

Nosé Hoover 1.2 ( 1) (a) (b) 1:

第62巻 第1号 平成24年4月/石こうを用いた木材ペレット

2007年08月号 022416/0812 会告

ε

LLG-R8.Nisus.pdf

ii 3.,. 4. F. (), ,,. 8.,. 1. (75%) (25%) =7 20, =7 21 (. ). 1.,, (). 3.,. 1. ().,.,.,.,.,. () (12 )., (), 0. 2., 1., 0,.

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100



* 1 1 (i) (ii) Brückner-Hartree-Fock (iii) (HF, BCS, HFB) (iv) (TDHF,TDHFB) (RPA) (QRPA) (v) (vi) *

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H

EGunGPU

96 7 1m = N 1A a C (1) I (2) A C I A A a A a A A a C C C 7.2: C A C A = = µ 0 2π (1) A C 7.2 AC C A 3 3 µ0 I 2 = 2πa. (2) A C C 7.2 A A

-5 -

42 3 u = (37) MeV/c 2 (3.4) [1] u amu m p m n [1] m H [2] m p = (4) MeV/c 2 = (13) u m n = (4) MeV/c 2 =

2 Chapter 4 (f4a). 2. (f4cone) ( θ) () g M. 2. (f4b) T M L P a θ (f4eki) ρ H A a g. v ( ) 2. H(t) ( )

1

JFE.dvi

5 H Boltzmann Einstein Brown 5.1 Onsager [ ] Tr Tr Tr = dγ (5.1) A(p, q) Â 0 = Tr Âe βĥ0 Tr e βĥ0 = dγ e βh 0(p,q) A(p, q) dγ e βh 0(p,q) (5.2) e βĥ0


t χ 2 F Q t χ 2 F 1 2 µ, σ 2 N(µ, σ 2 ) f(x µ, σ 2 ) = 1 ( exp (x ) µ)2 2πσ 2 2σ 2 0, N(0, 1) (100 α) z(α) t χ 2 *1 2.1 t (i)x N(µ, σ 2 ) x µ σ N(0, 1

δ ij δ ij ˆx ˆx ŷ ŷ ẑ ẑ 0, ˆx ŷ ŷ ˆx ẑ, ŷ ẑ ẑ ŷ ẑ, ẑ ˆx ˆx ẑ ŷ, a b a x ˆx + a y ŷ + a z ẑ b x ˆx + b

The Evaluation on Impact Strength of Structural Elements by Means of Drop Weight Test Elastic Response and Elastic Limit by Hiroshi Maenaka, Member Sh

結婚生活を強める

Transcription:

COGNAC (COarse-Grained molecular dynamics program by NAgoya Cooperation) ( ),

0 sec -3 msec -6 sec -9 nsec -12 psec -15 fsec GOURMET SUSHI PASTA COGNAC MUFFIN -15-12 -9-6 -3 0 fm pm nm m mm m

United atom model (CH 2 ) Gay-Berne potential model Bead-spring model

Molecular dynamics (MD) Ensembles»NVE» NVT,NPH,NPT (loose-coupling / extended Hamiltonian methods) Langevin dynamics Molecular mechanics (MM) Steepest descent / conjugate gradient methods

Bonding 2-body(bond):Harmonic,Morse,FENE,Gaussian, Polynomial,Table 3-body(angle):Theta harmonic,cosine harmonic Theta polynomial,table 4-body(torsion):Cosine polynomial,table Non-bonding pair interaction Lennard-Jones,Gay-Berne,LJ-GB, Table Electrostatic Coulomb interaction(ewald,reaction field) Dipole-dipole interaction (Reaction field)

: Gay-Berne - Lennard-Jones hybrid potential C CH 2 H 2 C CH 2 H 2 C CH 3 ncb (4-methyl-4 -cyanobiphenyl) Ellipsoid Sphere Smectic phase(non-polar model) Nematic phase(polar model)

SILK (1) SILK COGNAC SILK Python GOURMET SILK

SILK (2) name="mol" nummol=10 self.engine.createmolecule(name) for i in range(0, 4): self.engine.addatoms(name, "UA", "UA_PE") for i in range(0, 3): self.engine.addbonds(name, i, i+1, "BOND_PE") for i in range(0, 2): self.engine.addangles(name, i, i+1, i+2, "ANGLE_PE") for i in range(0, 1): self.engine.addtorsions(name, i, i+1, i+2, i+3, "TORSION_PE") for i in range(0, 4): self.engine.addinteractionsites(name, [i], "NB_PE", "PAIR") self.engine.setsystem(name, nummol)

SILK (3) name="a20b40a20" nummol=50 key="linear" sequence=[("a",20),("b",40),("a",20)] atomtype={"a":"atom1", "B":"atom2"} bondtype={"a_a":"bond1", "A_B":"bond3", "B_B":"bond2"} interactionsitetype={"a":"sitetype1", "B":"siteType2"} self.engine.makebeadspringpolym(name, nummol, key, sequence, atomtype, bondtype, interactionsitetype)

Action SILK gift Action GOUMET SILK Selection of diblock

COGNAC Random: Amorphous like structures Helix: Helical structures at regular lattice points Crystal: Crystal structures defined by crystal data, i.e. unit lattice, symmetric operation and fractional coordinates Semi-crystalline lamella: Semi-crystalline lamella structures consisting of a crystal phase and an amorphous phase Multi phase structure: Micro/macro phase-separeted structures of block copolymer/polymer blend obtained by SUSHI

mol/pdb UDF WebLab ViewerLite (TM) mol GOURMET UDF

UDF PDB/car/XYZ GOURMET UDF WebLab ViewerLite (TM) car

etc. Lees-Edwards MD»

Clay(laponite) - Polymer(PEO) composite clay-polymer Clay

20nm 20nm

Density biased Monte Carlo (DBMC) Density biased potential (DBP) SUSHI Staggered reflective boundary condition (SRBC) Lamella builder

ABA triblock copolymer ABA triblock copolymer SUSHI Loop/Bridge

ABA triblock copolymer 300% Strain BCC sphere phase εσ

A/B εσ ε τ elongation δε δε δε δε

6nm elongation

COGNAC C++ COGNAC UserBond1, UserAngle1 #include "userbond1.h" double UserBond1::calcforce(const Vector3d& dr, Vector3d& ftmp) { double r,delr,ene,tmp; } r=dr.length(); delr=r-r0; tmp=kconst*delr; ftmp=dr*(tmp/r); ene=0.5*tmp*delr; return ene;

DPD Dissipative particle dynamics (DPD) dr dt i dv = vi, dt i = f i f i F C ij = ( C D R F + + ) ij Fij Fij i j aij = 0 ( 1 r ) ( < ) ij rˆ ij rij ( r 1) ij 1, F D ij D = w ( )( ) R R r ( ) ij rˆ ij vij rˆ ij, Fij = w rij ijrˆ ij

Action Python molecules/atoms/bonds ABA triblock copolymers A

COGNAC Python»»»»»»

GOURMET Action GOURMET Action

:

: -

UDF HELP

COGNAC UDF unit parameters reduced mass in [amu] reduced energy in [kj/mol] reduced length in [nm].

COGNAC: χ MUFFIN SUSHI PASTA COGNAC

COGNAC : MD/MM

COGNAC JCII