Monte Carlo studies on the long time dynamic properties of dense cubic lattice multichain systems. II. Probe polymer in a matrix of different degrees of polymerization

The dynamics of a probe chain consisting of nP =100 segments in a matrix of chains of length of nM=50 up to nM=800 at a total volume fraction of polymer φ=0.5 have been simulated by means of cubic lattice Monte Carlo dynamics. The diffusion coefficient of the probe chain over the range of nM under consideration decreases by about 30%, a behavior rather similar to that seen in real melts of very long chains. Furthermore, the analysis of the probe chain motion shows that the mechanism of motion is not reptation‐like and that the cage effect of the matrix is negligible. That is, the local fluctuations of the topological constraints imposed by the long matrix chains (even for nM=800) are sufficiently large to provide for essentially isotropic, but somewhat slowed down, motion of the probe, nP =100, chains relative to the homopolymer melt. The results of these MC experiments are discussed in the context of theoretical predictions and experimental findings for related systems.

[1]  Artur Baumgärtner,et al.  SIMULATION OF POLYMER MOTION , 1984 .

[2]  K. Binder,et al.  Dynamics of Collective Fluctuations and Brownian Motion in Polymer Melts , 1981 .

[3]  J. Klein The Onset of Entangled Behavior in Semidilute and Concentrated Polymer Solutions , 1978 .

[4]  Andrzej Kolinski,et al.  Monte Carlo studies on the long time dynamic properties of dense cubic lattice multichain systems. I. The homopolymeric melt , 1987 .

[5]  W. Graessley,et al.  Self-diffusion coefficient in melts of linear polymers: chain length and temperature dependence for hydrogenated polybutadiene , 1984 .

[6]  J. Klein Dynamics of entangled linear, branched, and cyclic polymers , 1986 .

[7]  C. Palmstrøm,et al.  Limits of Reptation in Polymer Melts , 1984 .

[8]  Andrzej Kolinski,et al.  On the short time dynamics of dense polymeric systems and the origin of the glass transition: A model system , 1986 .

[9]  P. Gennes Scaling Concepts in Polymer Physics , 1979 .

[10]  S. Edwards,et al.  Dynamics of concentrated polymer systems. Part 4.—Rheological properties , 1979 .

[11]  G. Fleischer Self diffusion in melts of polystyrene and polyethylene measured by pulsed field gradient NMR , 1983 .

[12]  W. Graessley Entangled linear, branched and network polymer systems — Molecular theories , 1982 .

[13]  Andrzej Kolinski,et al.  Does reptation describe the dynamics of entangled, finite length polymer systems? A model simulation , 1987 .

[14]  Barton A. Smith,et al.  Polymer diffusion in molten poly(propylene oxide) , 1985 .

[15]  Kenneth E. Evans,et al.  Computer simulation of the dynamics of highly entangled polymers. Part 1.—Equilibrium dynamics , 1981 .

[16]  R. Bachus,et al.  Molecular weight and temperature dependence of self-diffusion coefficients in polyethylene and polystyrene melts investigated using a modified n.m.r. field-gradient technique , 1983 .

[17]  Hyuk Yu,et al.  Self-diffusion of polystyrenes by forced Rayleigh scattering , 1984 .

[18]  J. Klein,et al.  Evidence for reptation in an entangled polymer melt , 1978, Nature.

[19]  D. C. Rapaport,et al.  On three-dimensional self-avoiding walks , 1985 .

[20]  M. Antonietti,et al.  Diffusion of linear polystyrene molecules in matrixes of different molecular weights , 1986 .

[21]  Hyuk Yu,et al.  Polymer diffusion in linear matrixes: polystyrene in toluene , 1986 .

[22]  Kurt Kremer,et al.  Dynamics of polymer chains confined into tubes: Scaling theory and Monte Carlo simulations , 1984 .

[23]  C. Palmstrøm,et al.  Marker displacement measurements of polymer-polymer interdiffusion , 1985 .

[24]  J. Klein,et al.  Diffusional behaviour of entangled star polymers , 1983, Nature.

[25]  Matthew Tirrell,et al.  Polymer Self-Diffusion in Entangled Systems , 1984 .

[26]  E. Kramer,et al.  Matrix effects on the diffusion of long polymer chains , 1986 .

[27]  J. Skolnick,et al.  Monte Carlo Study of Local Orientational Order in a Semiflexible Polymer Melt Model , 1986 .

[28]  P. Gennes Reptation of a Polymer Chain in the Presence of Fixed Obstacles , 1971 .

[29]  K. Binder,et al.  Dynamics of entangled polymer melts: A computer simulation , 1981 .

[30]  M. Daoud,et al.  Some remarks on the dynamics of polymer melts , 1979 .

[31]  Kurt Kremer,et al.  Statics and dynamics of polymeric melts: a numerical analysis , 1983 .