Static Properties of a Simulated Supercooled Polymer Melt: Structure Factors, Monomer Distributions Relative to the Center of Mass, and Triple Correlation Functions
arXiv:cond-mat/0402623 · doi:10.1103/PhysRevE.69.061801
Abstract
We analyze structural and conformational properties in a simulated bead-spring model of a non-entangled, supercooled polymer melt. We explore the statics of the model via various structure factors, involving not only the monomers, but also the center of mass (CM). We find that the conformation of the chains and the CM-CM structure factor, which is well described by a recently proposed approximation [Krakoviack et al., Europhys. Lett. 58, 53 (2002)], remain essentially unchanged on cooling toward the critical glass transition temperature of mode-coupling theory. Spatial correlations between monomers on different chains, however, depend on temperature, albeit smoothly. This implies that the glassy behavior of our model cannot result from static intra-chain or CM-CM correlations. It must be related to inter-chain correlations at the monomer level. Additionally, we study the dependence of inter-chain correlation functions on the position of the monomer along the chain backbone. We find that this site-dependence can be well accounted for by a theory based on the polymer reference interaction site model (PRISM). We also analyze triple correlations by means of the three-monomer structure factors for the melt and for the chains. These structure factors are compared with the convolution approximation that factorizes them into a product of two-monomer structure factors. For the chains this factorization works very well, indicating that chain connectivity does not introduce special triple correlations in our model. For the melt deviations are more pronounced, particularly at wave vectors close to the maximum of the static structure factor.
REVTeX4, 16 pages, 16 figures, accepted for publication in Physical Review E
References in corpus (20)
- Accurate effective pair potentials for polymer solutions
- Molecular Dynamics Simulations of the Thermal Glass Transition in Polymer Melts: Alpha-Relaxation Behaviour
- What is the Entanglement Length in a Polymer Melt ?
- Computer Simulations of Supercooled Liquids and Glasses
- A quantitative test of the mode-coupling theory of the ideal glass transition for a binary Lennard-Jones system
- Formation of Chain-Folded Structures from Supercooled Polymer Melts
- The Debye-Waller factor of liquid silica: Theory and simulation
- Molecular-Dynamics Simulation of a Glassy Polymer Melt: Rouse Model and Cage Effect
- Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
- Idealized glass transitions for a system of dumbbell molecules
- Cooperative Dynamics in Unentangled Polymer Fluids
- Mode-coupling theory for structural and conformational dynamics of polymer melts
- Many-body interactions and correlations in coarse-grained descriptions of polymer solutions
- Relating monomer to centre-of-mass distribution functions in polymer solutions
- Quantitative tests of mode-coupling theory for fragile and strong glass-formers
- Intermolecular effects in the center-of-mass dynamics of unentangled polymer fluids
- Dynamics in a supercooled molecular liquid: Theory and Simulations
- Molecular mode-coupling theory applied to a liquid of diatomic molecules
- Statistical Physics of the Glass Phase
- Statistical mechanics derivation of hydrodynamic boundary conditions: the diffusion equation
Cited by in corpus (5)
- Molecular dynamics simulations of glassy polymers
- Understanding, predicting, and tuning the fragility of vitrimeric polymers
- Structural and conformational dynamics of supercooled polymer melts: Insights from first-principles theory and simulations
- The Role of Intramolecular Barriers on the Glass Transition of Polymers: Computer Simulations vs. Mode Coupling Theory
- From caging to Rouse dynamics in polymer melts with intramolecular barriers: a critical test of the Mode Coupling Theory