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Published in: Rheologica Acta 5-6/2008

01-07-2008 | Original Contribution

The Monte Carlo dynamics of polymer chains in sandwich brushes

Authors: Piotr Romiszowski, Andrzej Sikorski

Published in: Rheologica Acta | Issue 5-6/2008

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Abstract

We designed and developed a simple model of polymer chains. The chains consist of identical united atoms (segments) and were restricted to a simple cubic lattice with the excluded volume interactions only (an athermal system).The polymers were confined between two parallel impenetrable walls with one end of each chain was grafted to the wall. A motion of a probe single linear chain in such environment was studied. The properties of the model studied were determined from the Monte Carlo simulations employing a Metropolis-like sampling algorithm with local changes of chains’ conformation. The influence of the system density and the length of chains on the polymer mobility was studied and discussed. We found that the number of chains forming the brush was the major quantity which governed the dynamics of a probe chain, while the length of the chains in the brush also influenced the diffusivity of the probe chain. The diffusion coefficients scaled with the length of a probe chain is stronger than in the Rouse model with the exponent γ = −1.3.

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Literature
go back to reference Azuma R, Takayama H (1999) Diffusion of single long polymers in fixed and low density matrix of obstacles confined to two dimensions. J Chem Phys 111:8666–8671CrossRef Azuma R, Takayama H (1999) Diffusion of single long polymers in fixed and low density matrix of obstacles confined to two dimensions. J Chem Phys 111:8666–8671CrossRef
go back to reference Binder K, Milchev A (1996) Dynamics of polymer chains confined in slit-like pores. J Phys II (France) 6:21–31CrossRef Binder K, Milchev A (1996) Dynamics of polymer chains confined in slit-like pores. J Phys II (France) 6:21–31CrossRef
go back to reference Bitsanis I, Hadziioannou G (1990) Molecular dynamics simulations of the structure and dynamics of confined polymer melts. J Chem Phys 92:3827–3847CrossRef Bitsanis I, Hadziioannou G (1990) Molecular dynamics simulations of the structure and dynamics of confined polymer melts. J Chem Phys 92:3827–3847CrossRef
go back to reference Brittain WJ, Minko S (2007) A structural definition of polymer brushes. J Polym Sci Polym Chem 45:3505–3512CrossRef Brittain WJ, Minko S (2007) A structural definition of polymer brushes. J Polym Sci Polym Chem 45:3505–3512CrossRef
go back to reference Chang R, Yethiraj A (2006) Dynamics of chain molecules in disordered media. Phys Rev Lett 96:107802CrossRef Chang R, Yethiraj A (2006) Dynamics of chain molecules in disordered media. Phys Rev Lett 96:107802CrossRef
go back to reference Eisenriegler E (1993) Polymers near surfaces. World Scientific, Singapore Eisenriegler E (1993) Polymers near surfaces. World Scientific, Singapore
go back to reference Graessley WW (2004) Viscoelasticity and flow in polymeric liquids. Physical properties of polymers, 3rd edn. Cambridge University Press, Cambridge Graessley WW (2004) Viscoelasticity and flow in polymeric liquids. Physical properties of polymers, 3rd edn. Cambridge University Press, Cambridge
go back to reference Granick S (1992) Motions and relaxations of confined liquids. Science 253:1374–1379CrossRef Granick S (1992) Motions and relaxations of confined liquids. Science 253:1374–1379CrossRef
go back to reference Hu H-W, Granick S (1992) Viscoelastic dynamics of confined polymer melts. Science 258:1339–1342CrossRef Hu H-W, Granick S (1992) Viscoelastic dynamics of confined polymer melts. Science 258:1339–1342CrossRef
go back to reference Karayiannis NC, Mavrantzas VG, Theodorou DN (2002) A novel Monte Carlo scheme for the rapid equilibration of atomistic model polymer systems of precisely defined molecular architecture. Phys Rev Lett 88:105503 Karayiannis NC, Mavrantzas VG, Theodorou DN (2002) A novel Monte Carlo scheme for the rapid equilibration of atomistic model polymer systems of precisely defined molecular architecture. Phys Rev Lett 88:105503
go back to reference Kuznetsov DV, Balazs AC (2000) Phase behavior of end-functionalized polymers confined between two surfaces. J Chem Phys 113:2479–2483CrossRef Kuznetsov DV, Balazs AC (2000) Phase behavior of end-functionalized polymers confined between two surfaces. J Chem Phys 113:2479–2483CrossRef
go back to reference Masaro L, Zhu XX (1999) Physical models of diffusion for polymer solutions, gels and solids. Prog Polym Sci 24:731–775CrossRef Masaro L, Zhu XX (1999) Physical models of diffusion for polymer solutions, gels and solids. Prog Polym Sci 24:731–775CrossRef
go back to reference Pakula T, Zhulina EB (1991) Computer simulations of polymers in thin layers. II. Structure of polymer melt layers consisting of end-to-end grafted chains. J Chem Phys 95:4691–4697CrossRef Pakula T, Zhulina EB (1991) Computer simulations of polymers in thin layers. II. Structure of polymer melt layers consisting of end-to-end grafted chains. J Chem Phys 95:4691–4697CrossRef
go back to reference Retsos H, Terzis AF, Anastasiadis SH, Anastassopoulos DL, Toprakcioglu C, Theodorou DN, Smith GS, Menelle A, Gill RE, Hadziioannou G, Gallot Y (2002) Mushrooms and brushes in thin films of diblock copolymer/homopolymer mixtures. Macromolecules 35:1116–1132CrossRef Retsos H, Terzis AF, Anastasiadis SH, Anastassopoulos DL, Toprakcioglu C, Theodorou DN, Smith GS, Menelle A, Gill RE, Hadziioannou G, Gallot Y (2002) Mushrooms and brushes in thin films of diblock copolymer/homopolymer mixtures. Macromolecules 35:1116–1132CrossRef
go back to reference Romiszowski P, Sikorski A (2005) Properties of star-branched and linear chains in confined space. A Monte Carlo study. J Mol Model 11:335–340CrossRef Romiszowski P, Sikorski A (2005) Properties of star-branched and linear chains in confined space. A Monte Carlo study. J Mol Model 11:335–340CrossRef
go back to reference Romiszowski P, Sikorski A (2006) Properties of linear polymer chains in porous media. J Non-Cryst Solids 352:4303–4308CrossRef Romiszowski P, Sikorski A (2006) Properties of linear polymer chains in porous media. J Non-Cryst Solids 352:4303–4308CrossRef
go back to reference Schwartz GA, Bergman R, Swenson J (2004) Relaxation dynamics of a polymer in a 2D confinement. J Chem Phys 120:5736–5744CrossRef Schwartz GA, Bergman R, Swenson J (2004) Relaxation dynamics of a polymer in a 2D confinement. J Chem Phys 120:5736–5744CrossRef
go back to reference Semenov AN (1995) Rheology of polymer brushes: Rouse model. Langmuir 11:3560–3564CrossRef Semenov AN (1995) Rheology of polymer brushes: Rouse model. Langmuir 11:3560–3564CrossRef
go back to reference Semenov AN, Subbotin AV, Hadziioannou G, ten Brinke G, Manias E, Doi M (1997) Nonlinear dynamics of melted polymer layers. Macromol Symp 121:175–186 Semenov AN, Subbotin AV, Hadziioannou G, ten Brinke G, Manias E, Doi M (1997) Nonlinear dynamics of melted polymer layers. Macromol Symp 121:175–186
go back to reference Serghei A, Hartmann L, Pouret P, Leger L, Kremer F (2004) Molecular dynamics in thin (grafted) polymer layers. Colloid Polym Sci 282:946–954CrossRef Serghei A, Hartmann L, Pouret P, Leger L, Kremer F (2004) Molecular dynamics in thin (grafted) polymer layers. Colloid Polym Sci 282:946–954CrossRef
go back to reference Sikorski A, Romiszowski P (2004) Properties of branched confined polymer chains. J Chem Phys 120:7206–7211CrossRef Sikorski A, Romiszowski P (2004) Properties of branched confined polymer chains. J Chem Phys 120:7206–7211CrossRef
go back to reference Sikorski A, Romiszowski P (2006) The computer simulations of polymer dynamics in porous media. Rheol Acta 45:583–589CrossRef Sikorski A, Romiszowski P (2006) The computer simulations of polymer dynamics in porous media. Rheol Acta 45:583–589CrossRef
go back to reference Sikorski A, Kolinski A, Skolnick J (1994) Dynamics of star branched polymers in a matrix of linear chains. A Monte Carlo study. Macromol Theory Simul 3:715–729CrossRef Sikorski A, Kolinski A, Skolnick J (1994) Dynamics of star branched polymers in a matrix of linear chains. A Monte Carlo study. Macromol Theory Simul 3:715–729CrossRef
go back to reference Teraoka I (1996) Polymer solutions in confining geometries. Prog Polym Sci 21:89–149CrossRef Teraoka I (1996) Polymer solutions in confining geometries. Prog Polym Sci 21:89–149CrossRef
go back to reference Tsarkova L, Zhang X, Hadjichristidis N, Klein J (2007) Friction and relaxation dynamics of highly extended polymer brush melts under compression and shear. Macromolecules 40:2539–2547CrossRef Tsarkova L, Zhang X, Hadjichristidis N, Klein J (2007) Friction and relaxation dynamics of highly extended polymer brush melts under compression and shear. Macromolecules 40:2539–2547CrossRef
go back to reference Witten TA, Leibler L, Pincus PA (1990) Stress relaxation in the lamellar copolymer mesophase. Macromolecules 23:824–829CrossRef Witten TA, Leibler L, Pincus PA (1990) Stress relaxation in the lamellar copolymer mesophase. Macromolecules 23:824–829CrossRef
go back to reference Zhao B, Brittain WJ (2000) Polymer brushes: surface-immobilized macromolecules. Prog Polym Sci 25:677–710CrossRef Zhao B, Brittain WJ (2000) Polymer brushes: surface-immobilized macromolecules. Prog Polym Sci 25:677–710CrossRef
go back to reference Zhulina EB, Pakula T (1992) Structure of dense polymer layers between end-grafting and end-adsorbing walls. Macromolecules 25:754–758CrossRef Zhulina EB, Pakula T (1992) Structure of dense polymer layers between end-grafting and end-adsorbing walls. Macromolecules 25:754–758CrossRef
Metadata
Title
The Monte Carlo dynamics of polymer chains in sandwich brushes
Authors
Piotr Romiszowski
Andrzej Sikorski
Publication date
01-07-2008
Publisher
Springer-Verlag
Published in
Rheologica Acta / Issue 5-6/2008
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-008-0275-2

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