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Volumn 4, Issue , 2008, Pages 173-199

Chapter 10 Stochastic Models for Polymerization Reactions Under Nonequilibrium Conditions

Author keywords

Coarse graining; Diffusion; Langevin; Molecular dynamics; Polymerization; Simulation

Indexed keywords


EID: 54849420071     PISSN: 15741400     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1574-1400(08)00010-8     Document Type: Chapter
Times cited : (1)

References (84)
  • 1
    • 0000724163 scopus 로고
    • Molecular size distribution in three dimensional polymers. I. Gelation
    • Flory P.J. Molecular size distribution in three dimensional polymers. I. Gelation. J. Am. Chem. Soc. 63 (1941) 3083
    • (1941) J. Am. Chem. Soc. , vol.63 , pp. 3083
    • Flory, P.J.1
  • 2
    • 2442700864 scopus 로고
    • Theory of molecular size distribution and gel formation in branched-chain polymers
    • Stockmayer W.H. Theory of molecular size distribution and gel formation in branched-chain polymers. J. Chem. Phys. 11 (1943) 45
    • (1943) J. Chem. Phys. , vol.11 , pp. 45
    • Stockmayer, W.H.1
  • 4
    • 0142144554 scopus 로고
    • Transition phenomena in equilibrium polymerization
    • Tobolsky A.V., and Eisenberg A. Transition phenomena in equilibrium polymerization. J. Colloid Sci. 17 (1962) 49
    • (1962) J. Colloid Sci. , vol.17 , pp. 49
    • Tobolsky, A.V.1    Eisenberg, A.2
  • 5
    • 0346812531 scopus 로고
    • Phase equilibria in solutions of liquid sulfur. I. Theory
    • Scott R.L. Phase equilibria in solutions of liquid sulfur. I. Theory. J. Phys. Chem. 69 (1965) 261
    • (1965) J. Phys. Chem. , vol.69 , pp. 261
    • Scott, R.L.1
  • 7
    • 0001214084 scopus 로고
    • Exponents for the excluded volume problem as derived by the Wilson method
    • de Gennes P.G. Exponents for the excluded volume problem as derived by the Wilson method. Phys. Lett. A 38 (1972) 339
    • (1972) Phys. Lett. A , vol.38 , pp. 339
    • de Gennes, P.G.1
  • 8
    • 0000319904 scopus 로고
    • The Lagrangian theory of polymer solutions at intermediate concentrations
    • des Cloiseaux J. The Lagrangian theory of polymer solutions at intermediate concentrations. J. Phys. (Paris) 36 (1975) 281
    • (1975) J. Phys. (Paris) , vol.36 , pp. 281
    • des Cloiseaux, J.1
  • 12
    • 0001246493 scopus 로고
    • The n → 0 vector model and equilibrium polymerization
    • Wheeler J.C., and Pfeuty P. The n → 0 vector model and equilibrium polymerization. Phys. Rev. A 24 (1981) 1050
    • (1981) Phys. Rev. A , vol.24 , pp. 1050
    • Wheeler, J.C.1    Pfeuty, P.2
  • 13
    • 0000406567 scopus 로고
    • Chain-length distribution in a model of equilibrium polymerization
    • Schaefer L. Chain-length distribution in a model of equilibrium polymerization. Phys. Rev. B 46 (1992) 6061
    • (1992) Phys. Rev. B , vol.46 , pp. 6061
    • Schaefer, L.1
  • 14
    • 3342898856 scopus 로고
    • From mean field to diffusion-controlled kinetics: Concentration-induced transition in reacting polymer solutions
    • O'Shaughnessy B. From mean field to diffusion-controlled kinetics: Concentration-induced transition in reacting polymer solutions. Phys. Rev. Lett. 71 (1993) 3331
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3331
    • O'Shaughnessy, B.1
  • 15
    • 3843152218 scopus 로고
    • Autoacceleration in free radical polymerization
    • O'Shaughnessy B., and Yu J. Autoacceleration in free radical polymerization. Phys. Rev. Lett. 73 (1994) 1723
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 1723
    • O'Shaughnessy, B.1    Yu, J.2
  • 16
    • 0032163494 scopus 로고    scopus 로고
    • General matrix formula for the weight-average molecular weights of cross-linked polymer systems
    • Tobita H. General matrix formula for the weight-average molecular weights of cross-linked polymer systems. J. Polym. Sci. B Polym. Phys. 36 (1998) 2423
    • (1998) J. Polym. Sci. B Polym. Phys. , vol.36 , pp. 2423
    • Tobita, H.1
  • 17
    • 36749110282 scopus 로고
    • Critical and tricritical phenomena in "living" polymers
    • Kennedy S.J., and Wheeler J.C. Critical and tricritical phenomena in "living" polymers. J. Chem. Phys. 78 (1983) 953
    • (1983) J. Chem. Phys. , vol.78 , pp. 953
    • Kennedy, S.J.1    Wheeler, J.C.2
  • 18
    • 36549099567 scopus 로고
    • Tetracritical and novel tricritical points in sulfur solutions: A Flory model for polymerization of rings and chains in solvent
    • Corrales L.R., and Wheeler J.C. Tetracritical and novel tricritical points in sulfur solutions: A Flory model for polymerization of rings and chains in solvent. J. Chem. Phys. 90 (1989) 5030
    • (1989) J. Chem. Phys. , vol.90 , pp. 5030
    • Corrales, L.R.1    Wheeler, J.C.2
  • 19
    • 0001290835 scopus 로고
    • Living poly(α-methylstyrene) near the polymerization line: II. Phase diagram in methylcyclohexane
    • Zheng K.M., Greer S.C., Corrales L.R., and Ruiz-Garcia J. Living poly(α-methylstyrene) near the polymerization line: II. Phase diagram in methylcyclohexane. J. Chem. Phys. 98 (1993) 9873
    • (1993) J. Chem. Phys. , vol.98 , pp. 9873
    • Zheng, K.M.1    Greer, S.C.2    Corrales, L.R.3    Ruiz-Garcia, J.4
  • 20
    • 0027885311 scopus 로고
    • Phase transitions in polydisperse polymer melts
    • Milchev A. Phase transitions in polydisperse polymer melts. Polymer 34 (1993) 362
    • (1993) Polymer , vol.34 , pp. 362
    • Milchev, A.1
  • 21
    • 0000947826 scopus 로고
    • Monte Carlo study of semiflexible living polymers
    • Milchev A., and Landau D.P. Monte Carlo study of semiflexible living polymers. Phys. Rev. E 52 (1995) 6431
    • (1995) Phys. Rev. E , vol.52 , pp. 6431
    • Milchev, A.1    Landau, D.P.2
  • 24
  • 26
    • 0001654464 scopus 로고    scopus 로고
    • Monomer-mediated relaxation in living polymers
    • Milchev A., Rouault Y., and Landau D. Monomer-mediated relaxation in living polymers. Phys. Rev. E 56 (1997) 1946
    • (1997) Phys. Rev. E , vol.56 , pp. 1946
    • Milchev, A.1    Rouault, Y.2    Landau, D.3
  • 27
    • 0031185124 scopus 로고    scopus 로고
    • Growth of living polymers in a good solvent
    • van der Schoot P. Growth of living polymers in a good solvent. Europhys. Lett. 39 (1997) 25
    • (1997) Europhys. Lett. , vol.39 , pp. 25
    • van der Schoot, P.1
  • 28
    • 0031653521 scopus 로고    scopus 로고
    • Living polymers in random media: A 2d Monte Carlo investigation on a square lattice
    • Rouault Y. Living polymers in random media: A 2d Monte Carlo investigation on a square lattice. Eur. Phys. J. B 2 (1998) 483
    • (1998) Eur. Phys. J. B , vol.2 , pp. 483
    • Rouault, Y.1
  • 29
    • 0001557223 scopus 로고    scopus 로고
    • Dynamical Monte Carlo study of equilibrium polymers: Static properties
    • Wittmer J., Milchev A., and Cates M. Dynamical Monte Carlo study of equilibrium polymers: Static properties. J. Chem. Phys. 109 (1998) 834
    • (1998) J. Chem. Phys. , vol.109 , pp. 834
    • Wittmer, J.1    Milchev, A.2    Cates, M.3
  • 30
    • 0031994137 scopus 로고    scopus 로고
    • Computational confirmation of scaling predictions for equilibrium polymers
    • Wittmer J.P., Milchev A., and Cates M.E. Computational confirmation of scaling predictions for equilibrium polymers. Europhys. Lett. 41 (1998) 291
    • (1998) Europhys. Lett. , vol.41 , pp. 291
    • Wittmer, J.P.1    Milchev, A.2    Cates, M.E.3
  • 31
    • 0001147552 scopus 로고    scopus 로고
    • Crystallization and vitrification of semiflexible living polymers: A lattice model
    • Menon G., and Pandit R. Crystallization and vitrification of semiflexible living polymers: A lattice model. Phys. Rev. E 59 (1999) 787
    • (1999) Phys. Rev. E , vol.59 , pp. 787
    • Menon, G.1    Pandit, R.2
  • 32
    • 0000058520 scopus 로고    scopus 로고
    • Living poly(α-methylstyrene) near the polymerization line. VII. Molecular weight distribution in a good solvent
    • Sarkar Das S., Zhuang J., Ploplis Andrews A., Greer S.C., Guttman C., and Blair W. Living poly(α-methylstyrene) near the polymerization line. VII. Molecular weight distribution in a good solvent. J. Chem. Phys. 111 (1999) 9406
    • (1999) J. Chem. Phys. , vol.111 , pp. 9406
    • Sarkar Das, S.1    Zhuang, J.2    Ploplis Andrews, A.3    Greer, S.C.4    Guttman, C.5    Blair, W.6
  • 33
    • 0000130036 scopus 로고    scopus 로고
    • Lattice model of living polymerization. I. Basic thermodynamic properties
    • Dudowicz J., Freed K.F., and Douglas J. Lattice model of living polymerization. I. Basic thermodynamic properties. J. Chem. Phys. 111 (1999) 7116
    • (1999) J. Chem. Phys. , vol.111 , pp. 7116
    • Dudowicz, J.1    Freed, K.F.2    Douglas, J.3
  • 34
    • 0000968983 scopus 로고    scopus 로고
    • Lattice model of living polymerization. II. Interplay between polymerization and phase stability
    • Dudowicz J., Freed K.F., and Douglas J. Lattice model of living polymerization. II. Interplay between polymerization and phase stability. J. Chem. Phys. 112 (2000) 1002
    • (2000) J. Chem. Phys. , vol.112 , pp. 1002
    • Dudowicz, J.1    Freed, K.F.2    Douglas, J.3
  • 35
    • 0034229869 scopus 로고    scopus 로고
    • Lattice model of living polymerization. III. Evidence for particle clustering from phase separation properties and "rounding" of the dynamical clustering transition
    • Dudowicz J., Freed K.F., and Douglas J. Lattice model of living polymerization. III. Evidence for particle clustering from phase separation properties and "rounding" of the dynamical clustering transition. J. Chem. Phys. 113 (2000) 434
    • (2000) J. Chem. Phys. , vol.113 , pp. 434
    • Dudowicz, J.1    Freed, K.F.2    Douglas, J.3
  • 36
    • 0035281253 scopus 로고    scopus 로고
    • Living poly(α-methylstyrene) near the polymerization line. VIII. Mass density, viscosity, and surface tension in tetrahydrofuran
    • Pendyala K., Gu X., Andrews K., Gruner K., Jacobs D.T., and Greer S.C. Living poly(α-methylstyrene) near the polymerization line. VIII. Mass density, viscosity, and surface tension in tetrahydrofuran. J. Chem. Phys. 114 (2001) 4312
    • (2001) J. Chem. Phys. , vol.114 , pp. 4312
    • Pendyala, K.1    Gu, X.2    Andrews, K.3    Gruner, K.4    Jacobs, D.T.5    Greer, S.C.6
  • 38
    • 0346058171 scopus 로고    scopus 로고
    • Lattice model of living polymerization. IV. Influence of activation, chemical initiation, chain scission and fusion, and chain stiffness on polymerization and phase separation
    • Dudowicz J., Freed K.F., and Douglas J. Lattice model of living polymerization. IV. Influence of activation, chemical initiation, chain scission and fusion, and chain stiffness on polymerization and phase separation. J. Chem. Phys. 119 (2003) 12645
    • (2003) J. Chem. Phys. , vol.119 , pp. 12645
    • Dudowicz, J.1    Freed, K.F.2    Douglas, J.3
  • 42
    • 0021730092 scopus 로고
    • Cross-linking of epoxy resins
    • Rubber-Modified Thermoset Resins. Riew C.K., and Gillham J.L. (Eds), Am. Chem. Soc., Washington, DC
    • Dušek K. Cross-linking of epoxy resins. In: Riew C.K., and Gillham J.L. (Eds). Rubber-Modified Thermoset Resins. Adv. Chemistry vol. 208 (1984), Am. Chem. Soc., Washington, DC
    • (1984) Adv. Chemistry , vol.208
    • Dušek, K.1
  • 43
    • 0021696718 scopus 로고
    • A model for phase separation during a thermoset polymerization
    • Rubber-Modified Thermoset Resins. Riew C.K., and Gillham J.L. (Eds), Am. Chem. Soc., Washington, DC
    • Williams R.J.J., Borrajo J., Adabbo H.E., and Rojas A.J. A model for phase separation during a thermoset polymerization. In: Riew C.K., and Gillham J.L. (Eds). Rubber-Modified Thermoset Resins. Adv. Chemistry vol. 208 (1984), Am. Chem. Soc., Washington, DC 195
    • (1984) Adv. Chemistry , vol.208 , pp. 195
    • Williams, R.J.J.1    Borrajo, J.2    Adabbo, H.E.3    Rojas, A.J.4
  • 44
    • 0001944136 scopus 로고
    • Rubber-toughened plastics
    • Rubber-toughened plastics. Riew C.K. (Ed), Am. Chem. Soc., Washington, DC
    • Dušek K., and Matějka L. Rubber-toughened plastics. In: Riew C.K. (Ed). Rubber-toughened plastics. Adv. Chemistry vol. 222 (1989), Am. Chem. Soc., Washington, DC 303
    • (1989) Adv. Chemistry , vol.222 , pp. 303
    • Dušek, K.1    Matějka, L.2
  • 45
    • 0004235476 scopus 로고
    • Gum W.F., Riese W., and Ulrich H. (Eds), Oxford Univ. Press, New York
    • In: Gum W.F., Riese W., and Ulrich H. (Eds). Reaction Polymers (1992), Oxford Univ. Press, New York
    • (1992) Reaction Polymers
  • 46
    • 0016487168 scopus 로고
    • Reaction injection molding in the automotive industry
    • Prepelka P.J., and Wharton J.L. Reaction injection molding in the automotive industry. J. Cell. Plast. 11 (1975) 87
    • (1975) J. Cell. Plast. , vol.11 , pp. 87
    • Prepelka, P.J.1    Wharton, J.L.2
  • 47
    • 0019039405 scopus 로고
    • Polyurethane reaction injection molding: Process, materials, and properties
    • Lee L.J. Polyurethane reaction injection molding: Process, materials, and properties. Rubber Chem. Technol. 53 (1980) 542
    • (1980) Rubber Chem. Technol. , vol.53 , pp. 542
    • Lee, L.J.1
  • 48
    • 0020202815 scopus 로고
    • Laminar tube flow with a Thermosetting polymerization
    • Castro J.M., Lipshitz S.D., and Macosko C.W. Laminar tube flow with a Thermosetting polymerization. AIChE J. 26 (1982) 973
    • (1982) AIChE J. , vol.26 , pp. 973
    • Castro, J.M.1    Lipshitz, S.D.2    Macosko, C.W.3
  • 49
    • 0000777397 scopus 로고    scopus 로고
    • Stochastic dynamics in irreversible nonequilibrium environments. 2. A model for thermosetting polymerization
    • Hernandez R., and Somer F.L. Stochastic dynamics in irreversible nonequilibrium environments. 2. A model for thermosetting polymerization. J. Phys. Chem. B 103 (1999) 1070
    • (1999) J. Phys. Chem. B , vol.103 , pp. 1070
    • Hernandez, R.1    Somer, F.L.2
  • 50
    • 20644436461 scopus 로고    scopus 로고
    • Stochastic dynamics in irreversible nonequilibrium environments. 4. Self-consistent coupling in heterogeneous environments
    • Somer F.L., and Hernandez R. Stochastic dynamics in irreversible nonequilibrium environments. 4. Self-consistent coupling in heterogeneous environments. J. Phys. Chem. B 104 (2000) 3456
    • (2000) J. Phys. Chem. B , vol.104 , pp. 3456
    • Somer, F.L.1    Hernandez, R.2
  • 51
    • 0004467114 scopus 로고    scopus 로고
    • Nonstationary stochastic dynamics and applications to chemical physics
    • Schwartz S.D. (Ed), Kluwer Academic, The Netherlands
    • Hernandez R., and Somer F.L. Nonstationary stochastic dynamics and applications to chemical physics. In: Schwartz S.D. (Ed). Theoretical Methods in Condensed Phase Chemistry (2000), Kluwer Academic, The Netherlands 91-116
    • (2000) Theoretical Methods in Condensed Phase Chemistry , pp. 91-116
    • Hernandez, R.1    Somer, F.L.2
  • 52
    • 0035878642 scopus 로고    scopus 로고
    • A two-dimensional polymer growth model
    • Vogt M., and Hernandez R. A two-dimensional polymer growth model. J. Chem. Phys. 115 (2001) 1575
    • (2001) J. Chem. Phys. , vol.115 , pp. 1575
    • Vogt, M.1    Hernandez, R.2
  • 53
    • 0037162240 scopus 로고    scopus 로고
    • A three-dimensional polymer growth model
    • Vogt M., and Hernandez R. A three-dimensional polymer growth model. J. Chem. Phys. 116 (2002) 10485
    • (2002) J. Chem. Phys. , vol.116 , pp. 10485
    • Vogt, M.1    Hernandez, R.2
  • 54
    • 0034225547 scopus 로고    scopus 로고
    • The chemical Langevin equation
    • Gillespie D.T. The chemical Langevin equation. J. Chem. Phys. 113 (2000) 297
    • (2000) J. Chem. Phys. , vol.113 , pp. 297
    • Gillespie, D.T.1
  • 55
    • 34249950625 scopus 로고    scopus 로고
    • Stochastic simulation of chemical kinetics
    • Gillespie D.T. Stochastic simulation of chemical kinetics. Annu. Rev. Phys. Chem. 58 (2007) 35
    • (2007) Annu. Rev. Phys. Chem. , vol.58 , pp. 35
    • Gillespie, D.T.1
  • 57
    • 36549098220 scopus 로고
    • Theory of reversible diffusion-influenced reactions
    • Agmon N., and Szabo A. Theory of reversible diffusion-influenced reactions. J. Chem. Phys. 92 (1990) 5270
    • (1990) J. Chem. Phys. , vol.92 , pp. 5270
    • Agmon, N.1    Szabo, A.2
  • 58
    • 36449006322 scopus 로고
    • Theoretical approaches to reversible diffusion-influenced reactions-Monomer excimer kinetics
    • Szabo A. Theoretical approaches to reversible diffusion-influenced reactions-Monomer excimer kinetics. J. Chem. Phys. 95 (1991) 2481
    • (1991) J. Chem. Phys. , vol.95 , pp. 2481
    • Szabo, A.1
  • 59
    • 0000225562 scopus 로고    scopus 로고
    • Relations among the modern theories of diffusion-influenced reactions. I. Reduced distribution function theory versus memory function theory of Yang, Lee, and Shin
    • Sung J., and Lee S. Relations among the modern theories of diffusion-influenced reactions. I. Reduced distribution function theory versus memory function theory of Yang, Lee, and Shin. J. Chem. Phys. 111 (1999) 10159
    • (1999) J. Chem. Phys. , vol.111 , pp. 10159
    • Sung, J.1    Lee, S.2
  • 60
    • 0037043379 scopus 로고    scopus 로고
    • Kinetics of reversible diffusion influenced reactions: The self-consistent relaxation time approximation
    • Gopich I.V., and Szabo A. Kinetics of reversible diffusion influenced reactions: The self-consistent relaxation time approximation. J. Chem. Phys. 117 (2002) 507
    • (2002) J. Chem. Phys. , vol.117 , pp. 507
    • Gopich, I.V.1    Szabo, A.2
  • 61
    • 0037365471 scopus 로고    scopus 로고
    • A many-particle derivation of the Integral Encounter Theory non-Markovian kinetic equations of the reversible reaction A + B reversible arrow C in solutions
    • Doktorov A.B., and Kipriyanov A.A. A many-particle derivation of the Integral Encounter Theory non-Markovian kinetic equations of the reversible reaction A + B reversible arrow C in solutions. Physica A 319 (2003) 253
    • (2003) Physica A , vol.319 , pp. 253
    • Doktorov, A.B.1    Kipriyanov, A.A.2
  • 62
    • 0142052921 scopus 로고    scopus 로고
    • Unified theory of reversible target reactions
    • Agmon N., and Popov A.V. Unified theory of reversible target reactions. J. Chem. Phys. 119 (2003) 6680
    • (2003) J. Chem. Phys. , vol.119 , pp. 6680
    • Agmon, N.1    Popov, A.V.2
  • 63
    • 0344549821 scopus 로고    scopus 로고
    • Accurate solution for the many-body ABCD problem
    • Agmon N., and Popov A.V. Accurate solution for the many-body ABCD problem. Physica A 330 (2003) 150
    • (2003) Physica A , vol.330 , pp. 150
    • Agmon, N.1    Popov, A.V.2
  • 64
    • 1942425643 scopus 로고    scopus 로고
    • Influence of diffusion on the kinetics of excited-state association-dissociation reactions: Comparison of theory and simulation
    • Popov A.V., Agmon N., Gopich I.V., and Szabo A. Influence of diffusion on the kinetics of excited-state association-dissociation reactions: Comparison of theory and simulation. J. Chem. Phys. 120 (2004) 6111
    • (2004) J. Chem. Phys. , vol.120 , pp. 6111
    • Popov, A.V.1    Agmon, N.2    Gopich, I.V.3    Szabo, A.4
  • 66
    • 0035936021 scopus 로고    scopus 로고
    • Diffusion-influenced reversible energy transfer reactions between polymers
    • Park P.J., and Lee S. Diffusion-influenced reversible energy transfer reactions between polymers. J. Chem. Phys. 115 (2001) 9594
    • (2001) J. Chem. Phys. , vol.115 , pp. 9594
    • Park, P.J.1    Lee, S.2
  • 67
    • 0000059633 scopus 로고    scopus 로고
    • Stochastic dynamics in irreversible nonequilibrium environments. 1. The fluctuation-dissipation relation
    • Hernandez R., and Somer F.L. Stochastic dynamics in irreversible nonequilibrium environments. 1. The fluctuation-dissipation relation. J. Phys. Chem. B 103 (1999) 1064
    • (1999) J. Phys. Chem. B , vol.103 , pp. 1064
    • Hernandez, R.1    Somer, F.L.2
  • 68
    • 0000105609 scopus 로고    scopus 로고
    • The projection of a mechanical system onto the irreversible Generalized Langevin Equation (iGLE)
    • Hernandez R. The projection of a mechanical system onto the irreversible Generalized Langevin Equation (iGLE). J. Chem. Phys. 111 (1999) 7701
    • (1999) J. Chem. Phys. , vol.111 , pp. 7701
    • Hernandez, R.1
  • 69
    • 0242336780 scopus 로고
    • The statistical mechanics of polymers with excluded volume
    • Edwards S.F. The statistical mechanics of polymers with excluded volume. Proc. Phys. Soc. London 85 (1965) 613
    • (1965) Proc. Phys. Soc. London , vol.85 , pp. 613
    • Edwards, S.F.1
  • 70
    • 84911522653 scopus 로고
    • The statistical mechanics of a single polymer chain
    • National Bureau of Standards, Washington
    • Edwards S.F. The statistical mechanics of a single polymer chain. Proc. Nat. Bur. Stand. Conf. on Critical Points vol. 273 (1965), National Bureau of Standards, Washington 225
    • (1965) Proc. Nat. Bur. Stand. Conf. on Critical Points , vol.273 , pp. 225
    • Edwards, S.F.1
  • 71
    • 0002351649 scopus 로고
    • Functional integrals and polymer statistics
    • Freed K.F. Functional integrals and polymer statistics. Adv. Chem. Phys. 22 (1972) 1
    • (1972) Adv. Chem. Phys. , vol.22 , pp. 1
    • Freed, K.F.1
  • 73
    • 0000076281 scopus 로고
    • Non-Markovian activated rate processes: Comparison of current theories with numerical simulation data
    • Straub J.E., Borkovec M., and Berne B.J. Non-Markovian activated rate processes: Comparison of current theories with numerical simulation data. J. Chem. Phys. 84 (1986) 1788
    • (1986) J. Chem. Phys. , vol.84 , pp. 1788
    • Straub, J.E.1    Borkovec, M.2    Berne, B.J.3
  • 75
    • 42749108705 scopus 로고    scopus 로고
    • Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential
    • Hayashi K., and Sasa S.I. Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential. Phys. Rev. E 69 (2004) 066119
    • (2004) Phys. Rev. E , vol.69 , pp. 066119
    • Hayashi, K.1    Sasa, S.I.2
  • 76
    • 33646435830 scopus 로고    scopus 로고
    • Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
    • Speck T., and Seifert U. Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state. Europhys. Lett. 74 (2006) 391
    • (2006) Europhys. Lett. , vol.74 , pp. 391
    • Speck, T.1    Seifert, U.2
  • 77
    • 33847249602 scopus 로고    scopus 로고
    • Generalized Einstein relation for Brownian motion in tilted periodic potential
    • Sakaguchi H. Generalized Einstein relation for Brownian motion in tilted periodic potential. J. Phys. Soc. Jap. 75 (2006) 124006
    • (2006) J. Phys. Soc. Jap. , vol.75 , pp. 124006
    • Sakaguchi, H.1
  • 78
    • 33847286548 scopus 로고    scopus 로고
    • Efficiency and fluctuation in tight-coupling model of molecular motor
    • Sakaguchi H. Efficiency and fluctuation in tight-coupling model of molecular motor. J. Phys. Soc. Jap. 75 (2006) 063001
    • (2006) J. Phys. Soc. Jap. , vol.75 , pp. 063001
    • Sakaguchi, H.1
  • 79
    • 0031259409 scopus 로고    scopus 로고
    • Living poly(α-methylstyrene) near the polymerization Line. 6. Chemical kinetics
    • Zhuang J., Sarkar Das S., Nowakowski M.D., and Greer S.C. Living poly(α-methylstyrene) near the polymerization Line. 6. Chemical kinetics. Physica A 244 (1997) 522
    • (1997) Physica A , vol.244 , pp. 522
    • Zhuang, J.1    Sarkar Das, S.2    Nowakowski, M.D.3    Greer, S.C.4
  • 80
    • 25144475609 scopus 로고    scopus 로고
    • Polymerization/Depolymerization mechanism for "living" sodium poly-α-Methylstyryl and sodium polystyryl
    • Kalnin'sh K.K. Polymerization/Depolymerization mechanism for "living" sodium poly-α-Methylstyryl and sodium polystyryl. Russian J. Appl. Chem. 74 (2001) 1913
    • (2001) Russian J. Appl. Chem. , vol.74 , pp. 1913
    • Kalnin'sh, K.K.1
  • 81
    • 0001400809 scopus 로고
    • Living poly(α-methylstyrene) near the polymerization line: IV. Extent of polymerization as a function of temperature
    • Sarkar Das S., Ploplis Andrews A., and Greer S.C. Living poly(α-methylstyrene) near the polymerization line: IV. Extent of polymerization as a function of temperature. J. Chem. Phys. 102 (1995) 2951
    • (1995) J. Chem. Phys. , vol.102 , pp. 2951
    • Sarkar Das, S.1    Ploplis Andrews, A.2    Greer, S.C.3
  • 82
    • 33744479236 scopus 로고    scopus 로고
    • Well-defined poly(4-vinylbenzocyclobutene): Synthesis by living anionic polymerization and characterization
    • Sakellariou G., Baskaran D., Hadjichristidis N., and Mays J.W. Well-defined poly(4-vinylbenzocyclobutene): Synthesis by living anionic polymerization and characterization. Macromolecules 39 (2006) 3525
    • (2006) Macromolecules , vol.39 , pp. 3525
    • Sakellariou, G.1    Baskaran, D.2    Hadjichristidis, N.3    Mays, J.W.4
  • 83
    • 27644590204 scopus 로고    scopus 로고
    • Automated parallel anionic polymerizations: Enhancing the possibilities of a widely used technique in polymer synthesis
    • Guerrero-Sanchez C., Abeln C., and Schubert U.S. Automated parallel anionic polymerizations: Enhancing the possibilities of a widely used technique in polymer synthesis. J. Polym. Sci. A Polym. Chem. 43 (2005) 4151
    • (2005) J. Polym. Sci. A Polym. Chem. , vol.43 , pp. 4151
    • Guerrero-Sanchez, C.1    Abeln, C.2    Schubert, U.S.3
  • 84
    • 0000508778 scopus 로고
    • Zur Polymerisation des Methacrylsäure-methylesters
    • Trommsdorff E., Köhle H., and Lagally P. Zur Polymerisation des Methacrylsäure-methylesters. Makromol. Chem. 1 (1948) 169
    • (1948) Makromol. Chem. , vol.1 , pp. 169
    • Trommsdorff, E.1    Köhle, H.2    Lagally, P.3


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