Scaling relations of two-dimensional athermal multichain systems by computer simulation

Abstract

The statistical mechanical properties of the systems of athermal multichain (n‐mers) in two‐dimensional lattices are investigated by the computer simulation. The mean dimensions of the chains follow a scaling relation with a scaling variable (n−1)^2νn⁻¹φ, where 2ν is the mean square end to end distance exponent and φ is the concentration. The logarithm of the state sum per chain and the osmotic pressure thereof can be described by the same variable in a way which is slightly lattice structure dependent. Because the application of the available theories to our short chain lattice systems may have some controversies, the current coarse graining procedure is appropriately reformulated. The simulation data including the mentioned ones and the chain element distributions around a mass center are well understood by the proposition.