Flory theorem," stating that polymers in the melt are nearly "ideal," [28] in the specific sense that they should have similar excluded volume (EV) interactions as polymers at their theta point, i.e., ν = 1/2, simply does not hold for ring melts. Instead, ν for ring melts has often been reported to be near 2/5 [11,12,21,24] which is consistent with the theoretical estimate of Cates and Deutsch. [29] Recent computational studies [16][17][18]30,31] have suggested that very long rings in the melt should be in a collapsed globular state for which ν equals 1/3. On the other hand, Lang et al. [32] have argued for a value of ν = 3/8 for high mass rings, an exponent close, but not equal to the value for collapsed chains. Despite the uncertainty in the exact exponent value, it seems safe to conclude that ν is significantly less than 1/2 so that the conformation of melt rings does not conform to random walk (RW) chains with screened excluded volume interactions.The absence of screening of excluded volume in rings implies that the addition of solvents and linear polymers to ring melts should lead to different effects than adding these molecular species to linear polymer chain melts. This phenomenon has been considered in previous work, [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] but the nature of this swelling process is not yet entirely clear, and the present work is devoted to further elucidating this problem from a new perspective not relying on the reptation model. There have admittedly been numerous arguments, [29,33,34] experiments, [33][34][35][36][37][38][39][40][41] and simulations [42][43][44][45][46][47][48] pertaining to the configurational properties and dynamics of rings diluted by linear chains. Originally, Cates and Deutsch [29] suggested that the topologically induced EV interactions in the ring melt are relieved upon diluting the rings by linear chains so that the rings in the melt should become "ideal" upon dilution by linear chains. Recent simulations [44][45][46][47][48] and experiments [40,41] on ring-linear polymer blends have reported that rings increase their size upon the dilution and their conformational structure resembles ideal rings in a theta solvent, clearly supporting a change in the EV interactions in ring melts upon adding linear chains. Moreover, the rate of diffusion of tracer ring polymers in the melt was found to be greatly slowed by adding linear chains, an effect interpreted as arising from the ring-linear polymer threadings. [33,[35][36][37][38][39]43,48] Although there have been many attempts at quantifying this physically appealing "threading effect," [7,[35][36][37][38][43][44][45][46]48] the validity of the threading model has not yet been established. In this communication, we consider an alternative explanation of the slowing down of
Ring-Linear Chain BlendsAtomistic molecular dynamics simulations of ring-linear polyethylene blends are employed to understand the relationship between chain conformational structure and the melt dynamics of these blends. As o...