A lattice model of uniform star polymers

Scaling Theory and Computer Simulation of Star Polymers in Good Solvents

“…All results [6,7,[11][12][13] are consistent in high accuracy with the Daoud-Cotton prediction (25) for the f and l dependences.…”

“…Off-lattice Monte Carlo simulations have been performed by Rey et al [45], Freire et al [47] and Rubio and Freire [41]. Lattice Monte Carlo simulations of star polymers with up to 6 arms have been done by Lipson et al [6] and Wilkinson et al [7,46]. Batouris and Kremer [11] used a biased sampling method in their Monte Carlo simulations.…”

“…They can be measured experimentally by means of optical, neutron-diffraction and other techniques. They are theoretically estimated by means of computer simulations and other numerical techniques (see [4,5] for review and see also [6][7][8][9][10][11][12][13][14] for star polymers) as well as using sophisticated analyses such as the exact results in two dimensions [15,16], scaling theory [2,[17][18][19] and renormalization-group (RG) techniques (for star polymers see [20][21][22][23][24][25] as well as [17,19], and for other polymer networks see [15,26]). All these quantities and techniques are of course not special for polymer networks but have been rather common for linear polymers.…”

Towards a Simplified Approach to the Modelling of the Star-Like Molecule Fluids

“…One special class of branched polymers that has recently received considerable attention from both theoretical scientists and engineers is the star-like molecule (SLM) fluid or star polymers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The SLM fluid 1 serves as a prototype example for tethered chains, polymer brushes, and multibranched systems.…”

“…Besides experimental investigations of the branched polymers [1][2][3][4][5][6][7], computer modeling, analytical and semi-analytical statistical-mechanics treatments provide a valuable way of understanding these systems at a fundamental level [8][9][10][11][12][13][14][15][16][17][18][19]. However, an exact statistical-mechanics treatment of branched molecules, in general, is complicated because of the large number of internal degrees of freedom, the coupled intra-and intermolecular interactions between beads, etc.…”