메뉴 건너뛰기




Volumn 6, Issue 4, 2007, Pages 1347-1370

Numerical solutions of the complex langevin equations in polymer field theory

Author keywords

Diblock copolymer; Langevin equation; Stochastic simulation

Indexed keywords

ANALYTIC EXPRESSIONS; COMPLEX WEIGHTS; COMPUTATION TIMES; DIBLOCK COPOLYMER; DIBLOCK COPOLYMER MELTS; FIELD SOLUTIONS; FOURIER; IN FIELDS; LANGEVIN; LANGEVIN EQUATION; LANGEVIN EQUATIONS; MODEL SYSTEMS; MULTISCALE NATURES; NUMERICAL SOLUTIONS; ORDERS OF MAGNITUDES; POLYMER FIELDS; POLYMERIC FLUIDS; PRACTICAL METHODS; PRIOR WORKS; STOCHASTIC SIMULATION; TIME INTEGRATIONS;

EID: 45149107826     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/070689401     Document Type: Article
Times cited : (66)

References (35)
  • 2
    • 0037866873 scopus 로고    scopus 로고
    • Field-theoretic simulations of confined polymer solutions
    • A. J. ALEXANDER-KATZ, A. G. MOREIRA, and G. H. FREDRICKSON, Field-theoretic simulations of confined polymer solutions, J. Chem. Phys., 118 (2003), pp. 9030-9036.
    • (2003) J. Chem. Phys , vol.118 , pp. 9030-9036
    • ALEXANDER-KATZ, A.J.1    MOREIRA, A.G.2    FREDRICKSON, G.H.3
  • 3
    • 23744512308 scopus 로고    scopus 로고
    • Numerical solution of polymer self-consistent field theory
    • H. D. CENICEROS and G. H. FREDRICKSON, Numerical solution of polymer self-consistent field theory, Multiscale Model. Simul., 2 (2004), pp. 452-474.
    • (2004) Multiscale Model. Simul , vol.2 , pp. 452-474
    • CENICEROS, H.D.1    FREDRICKSON, G.H.2
  • 4
    • 41649087181 scopus 로고    scopus 로고
    • A practical splitting method for stiff SDEs with small noise
    • H. D. CENICEROS and G. O. MOHLER, A practical splitting method for stiff SDEs with small noise, Multiscale Model. Simul., 6 (2007), pp. 212-227.
    • (2007) Multiscale Model. Simul , vol.6 , pp. 212-227
    • CENICEROS, H.D.1    MOHLER, G.O.2
  • 10
    • 4243889095 scopus 로고
    • Monte Carlo calculation of the thermodynamic properties of a quantum model: A one-dimensional fermion lattice model
    • H. de RAEDT and A. LAGENDIJK, Monte Carlo calculation of the thermodynamic properties of a quantum model: A one-dimensional fermion lattice model, Phys. Rev. Lett., 46 (1981), pp. 77-80.
    • (1981) Phys. Rev. Lett , vol.46 , pp. 77-80
    • de RAEDT, H.1    LAGENDIJK, A.2
  • 11
    • 0345547741 scopus 로고    scopus 로고
    • Fluctuation effects in ternary AB + A + B polymeric emulsions
    • D. DÜCHS, V. GANESAN, G. H. FREDRICKSON, and F. SCHMID, Fluctuation effects in ternary AB + A + B polymeric emulsions, Macromolecules, 36 (2003), pp. 9237-9248.
    • (2003) Macromolecules , vol.36 , pp. 9237-9248
    • DÜCHS, D.1    GANESAN, V.2    FREDRICKSON, G.H.3    SCHMID, F.4
  • 13
    • 0036140759 scopus 로고    scopus 로고
    • Field-theoretic computer simulation methods for polymers and complex fluids
    • G. H. FREDRICKSON, V. GANESAN, and F. DROLET, Field-theoretic computer simulation methods for polymers and complex fluids, Macromolecules, 35 (2002), pp. 16-39.
    • (2002) Macromolecules , vol.35 , pp. 16-39
    • FREDRICKSON, G.H.1    GANESAN, V.2    DROLET, F.3
  • 14
    • 22444445268 scopus 로고
    • Fluctuation effects in the theory of microphase separation in block copolymers
    • G. H. FREDRICKSON and E. HELFAND, Fluctuation effects in the theory of microphase separation in block copolymers, J. Chem. Phys., 87 (1987), pp. 697-705.
    • (1987) J. Chem. Phys , vol.87 , pp. 697-705
    • FREDRICKSON, G.H.1    HELFAND, E.2
  • 15
    • 20744449792 scopus 로고    scopus 로고
    • The design and implementation of FFTW3
    • M. FRIGO and S. G. JOHNSON, The design and implementation of FFTW3, Proc. IEEE, 93 (2005), pp. 216-231.
    • (2005) Proc. IEEE , vol.93 , pp. 216-231
    • FRIGO, M.1    JOHNSON, S.G.2
  • 16
    • 0035797776 scopus 로고    scopus 로고
    • Field-theoretic polymer simulations
    • V. GANESAN and G. H. FREDRICKSON, Field-theoretic polymer simulations, Europhys. Lett., 55 (2001), pp. 814-820.
    • (2001) Europhys. Lett , vol.55 , pp. 814-820
    • GANESAN, V.1    FREDRICKSON, G.H.2
  • 17
    • 21344481956 scopus 로고
    • The mechanism of complex Langevin simulations
    • H. GAUSTERER and S. LEE, The mechanism of complex Langevin simulations, J. Statist. Phys., 73 (1993), pp. 147-157.
    • (1993) J. Statist. Phys , vol.73 , pp. 147-157
    • GAUSTERER, H.1    LEE, S.2
  • 19
    • 25544438889 scopus 로고
    • A Langevin approach to fermion and quantum spin correlation functions
    • J. R. KLAUDER, A Langevin approach to fermion and quantum spin correlation functions, J. Phys. A, 16 (1983), pp. L317-L319.
    • (1983) J. Phys. A , vol.16
    • KLAUDER, J.R.1
  • 21
    • 0001521171 scopus 로고
    • The convergence of complex Langevin simulations
    • S. LEE, The convergence of complex Langevin simulations, Nuclear Phys. B, 413 (1994), pp. 827-848.
    • (1994) Nuclear Phys. B , vol.413 , pp. 827-848
    • LEE, S.1
  • 22
    • 33847086243 scopus 로고
    • Theory of microphase separation in block copolymers
    • L. LEIBLER, Theory of microphase separation in block copolymers, Macromolecules, 13 (1980), pp. 1602-1617.
    • (1980) Macromolecules , vol.13 , pp. 1602-1617
    • LEIBLER, L.1
  • 23
    • 4244051722 scopus 로고
    • Stabilizing new morphologies by blending homopolymer with block copolymer
    • M. W. MATSEN, Stabilizing new morphologies by blending homopolymer with block copolymer, Phys. Rev. Lett., 74 (1995), pp. 4225-4228.
    • (1995) Phys. Rev. Lett , vol.74 , pp. 4225-4228
    • MATSEN, M.W.1
  • 24
    • 3342995995 scopus 로고
    • Stable and unstable phases of a diblock copolymer melt
    • M. W. MATSEN and M. SCHICK, Stable and unstable phases of a diblock copolymer melt, Phys. Rev. Lett., 72 (1994), pp. 2660-2663.
    • (1994) Phys. Rev. Lett , vol.72 , pp. 2660-2663
    • MATSEN, M.W.1    SCHICK, M.2
  • 25
    • 0037148414 scopus 로고    scopus 로고
    • The standard Gaussian model for block copolymer melts
    • M. W. MATSEN, The standard Gaussian model for block copolymer melts, J. Phys.: Condens. Matter, 14 (2002), pp. R21-R47.
    • (2002) J. Phys.: Condens. Matter , vol.14
    • MATSEN, M.W.1
  • 26
    • 33745437716 scopus 로고    scopus 로고
    • Numerical integration of stochastic differential equations with nonglobally Lipschitz coefficients
    • G. N. MILSTEIN and M. V. TRETYAKOV, Numerical integration of stochastic differential equations with nonglobally Lipschitz coefficients, SIAM J. Numer. Anal., 43 (2005), pp. 1139-1154.
    • (2005) SIAM J. Numer. Anal , vol.43 , pp. 1139-1154
    • MILSTEIN, G.N.1    TRETYAKOV, M.V.2
  • 27
    • 55149098389 scopus 로고    scopus 로고
    • B. K. OØKSENDAL, Stochastic Differential Equations: An Introduction with Applications, Springer-Verlag, Berlin, 2003.
    • B. K. OØKSENDAL, Stochastic Differential Equations: An Introduction with Applications, Springer-Verlag, Berlin, 2003.
  • 29
    • 0001200158 scopus 로고
    • On complex probabilities
    • G. PARISI, On complex probabilities, Phys. Lett. B, 131 (1983), pp. 393-395.
    • (1983) Phys. Lett. B , vol.131 , pp. 393-395
    • PARISI, G.1
  • 30
    • 0000743341 scopus 로고    scopus 로고
    • A general implicit splitting for stabilizing numerical simulations of Itô stochastic differential equations
    • W. P. PETERSEN, A general implicit splitting for stabilizing numerical simulations of Itô stochastic differential equations, SIAM J. Numer. Anal., 35 (1998), pp. 1439-1451.
    • (1998) SIAM J. Numer. Anal , vol.35 , pp. 1439-1451
    • PETERSEN, W.P.1
  • 31
    • 36949011366 scopus 로고    scopus 로고
    • Y. O. POPOV, J. LEE, and G. H. FREDRICKSON, Field-theoretic simulations of polyelectrolyte complexation, J. Poly. Sci. B: Poly. Phys., 45 (2007), pp. 3223-3230.
    • Y. O. POPOV, J. LEE, and G. H. FREDRICKSON, Field-theoretic simulations of polyelectrolyte complexation, J. Poly. Sci. B: Poly. Phys., 45 (2007), pp. 3223-3230.
  • 32
    • 0037103093 scopus 로고    scopus 로고
    • K. Oø. RASMUSSEN and G. KALOSAKAS, Improved numerical algorithm for exploring block copolymer mesophases, J. Poly. Sci. B: Poly. Phys., 40 (2002), pp. 1777-1783.
    • K. Oø. RASMUSSEN and G. KALOSAKAS, Improved numerical algorithm for exploring block copolymer mesophases, J. Poly. Sci. B: Poly. Phys., 40 (2002), pp. 1777-1783.
  • 33
    • 0001161978 scopus 로고    scopus 로고
    • Self-consistent-field theories for complex fluids
    • F. SCHMID, Self-consistent-field theories for complex fluids, J. Phys.: Condens. Matter, 10 (1998), pp. 8105-8138.
    • (1998) J. Phys.: Condens. Matter , vol.10 , pp. 8105-8138
    • SCHMID, F.1
  • 34
    • 33745656985 scopus 로고    scopus 로고
    • Hybrid particle-field simulations of polymer nanocomposites
    • S. W. SIDES, B. J. KIM, E. J. KRAMER, and G. H. FREDRICKSON, Hybrid particle-field simulations of polymer nanocomposites, Phys. Rev. Lett., 96 (2006), 250601.
    • (2006) Phys. Rev. Lett , vol.96 , pp. 250601
    • SIDES, S.W.1    KIM, B.J.2    KRAMER, E.J.3    FREDRICKSON, G.H.4
  • 35
    • 84906373808 scopus 로고    scopus 로고
    • Efficient computation of the structural phase behavior of block copolymers
    • G. TZEREMES, K. Oø. RASMUSSEN, T. LOOKMAN, and A. SAXENA, Efficient computation of the structural phase behavior of block copolymers, Phys. Rev. E (3), 65 (2002), 041806.
    • (2002) Phys. Rev. E , vol.65 , Issue.3 , pp. 041806
    • TZEREMES, G.1    RASMUSSEN, K.O.2    LOOKMAN, T.3    SAXENA, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.