Tangirala Sairam, Landau D P
Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 1):051804. doi: 10.1103/PhysRevE.83.051804. Epub 2011 May 25.
Polymer chain aggregates grown by (1+1)-dimensional Monte Carlo simulations of vapor deposition polymerization (VDP) were studied. The dynamic scaling behavior of polymer chain length distribution n(s)(t) was studied as a function of chain length (s), deposition time (t), and the ratio G=D/F of deposition rate (F) and free monomer diffusion (D). The dynamic scaling approach was employed to highlight the dependence of n(s)(t) on t, s, and G. With an increase in t, we found a power law increase in n(s)(t) and total number of polymer chains N(total)(t), given by N(total)(t)t(ω) and n(s)(t)t(ω) with exponent ω=1.01(2) that was invariant for a range of G=10 to 10^{4}. For small s and t=10^{3}, 5×10^{3}, and 10^{4}, n_{s}(t) decreased according to n(s)(t)~s(-τ) with τ=0.58(2). As G was increased from 10 to 10(4), we observed a systematic influence of G on the rescaled n(s)(t) data that prevented the manifestation of unique scaling function for polymer chain aggregates. The dependence of scaling functions of n(s)(t) on G elucidates the sensitivity of polymer chain aggregates to G and is thought to be a characteristic of VDP.
研究了通过气相沉积聚合（VDP）的（1 + 1）维蒙特卡罗模拟生长的聚合物链聚集体。研究了聚合物链长度分布n(s)(t)的动态标度行为，它是链长（s）、沉积时间（t）以及沉积速率（F）与游离单体扩散（D）的比率G = D/F的函数。采用动态标度方法来突出n(s)(t)对t、s和G的依赖性。随着t的增加，我们发现n(s)(t)和聚合物链总数N(total)(t)呈幂律增长，即N(total)(t)t(ω)且n(s)(t)t(ω)，指数ω = 1.01(2)，在G = 10到10^4的范围内不变。对于小的s以及t = 10^3、5×10^3和10^4，n_s(t)根据n(s)(t)~s(-τ)下降，其中τ = 0.58(2)。当G从10增加到10(4)时，我们观察到G对重新标度的n(s)(t)数据有系统影响，这阻止了聚合物链聚集体独特标度函数的显现。n(s)(t)的标度函数对G的依赖性阐明了聚合物链聚集体对G的敏感性，并且被认为是VDP的一个特征。
