Sonaglioni Daniele, Tombari Elpidio, Johari G P
Physics Department, University of Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy.
Istituto per i Processi Chimico-Fisici del CNR, via G. Moruzzi 1, 56124 Pisa, Italy.
J Phys Chem B. 2023 Aug 10;127(31):7070-7081. doi: 10.1021/acs.jpcb.3c03401. Epub 2023 Jul 28.
Physical aging of a glass decreases its volume, , entropy, and enthalpy, , toward the equilibrium state values. For glasses usually formed by cooling a melt, the effect is modeled in terms of non-exponential, nonlinear structural relaxation by using a plot of the heat capacity, = (d/d), against obtained from differential scanning calorimetry (DSC) cooling and heating scans. A melt becomes glass also on isothermal pressurizing and the glass formed becomes liquid on depressurizing, showing a hysteresis of the sigmoid-shape plot of -(d/d) against , which resembles the thermal hysteresis observed in the against plots. By analogy with DSC, it was named pressure scanning volumetry (PSV). Here, we use the known values of non-exponential and nonlinearity parameters β and and volume of activation for structural relaxation time, Δ*, of atactic poly(propylene) to investigate the effect of aging pressure, , of aging time, , and of the pressurizing rate on aging features in PSV scans. The scans show a post- feature on depressurizing before the -(d/d) overshoot peak appears. We provide quantitative plots (i) of the monotonic decrease of and increase of fictive pressure, , with and (ii) of the memory (Kovacs) effect in and of the polymer and (iii) provide generic plots of -(d/d) against for different combinations of β, , and Δ*. The study is of academic significance because PSV scans show a change in the density fluctuation response. It is of technological significance in polymer-extrusion processing and it may stimulate the commercial development of computer-controlled, high-pressure equipment.
玻璃的物理老化会使其体积、熵和焓朝着平衡态值降低。对于通常通过冷却熔体形成的玻璃,可通过绘制从差示扫描量热法(DSC)冷却和加热扫描获得的热容(C_p = (dH/dT))与温度(T)的关系图,以非指数、非线性结构弛豫的方式对这种效应进行建模。熔体在等温加压时也会变成玻璃,而形成的玻璃在减压时会变成液体,这在(-(dV/dP))与压力(P)的S形曲线中表现出滞后现象,类似于在(C_p)与(T)曲线中观察到的热滞后现象。通过与DSC类比,它被命名为压力扫描体积法(PSV)。在此,我们利用无规立构聚丙烯的非指数和非线性参数(\beta)和(\alpha)以及结构弛豫时间的活化体积(\Delta V^)的已知值,来研究老化压力(P)、老化时间(t)和加压速率对PSV扫描中老化特征的影响。扫描结果显示,在(-(dV/dP))过冲峰值出现之前减压时存在一个后特征。我们提供了(i)(V)随(t)单调下降和虚构压力(P_f)随(t)增加的定量曲线,(ii)聚合物在(V)和(P_f)中的记忆(科瓦奇)效应曲线,以及(iii)针对(\beta)、(\alpha)和(\Delta V^)不同组合的(-(dV/dP))与(P)的通用曲线。这项研究具有学术意义,因为PSV扫描显示了密度涨落响应的变化。它在聚合物挤出加工中具有技术意义,并且可能会推动计算机控制的高压设备的商业发展。