By Stuart A. Rice
This sequence presents the chemical physics box with a discussion board for severe, authoritative reviews of advances in each zone of the self-discipline. quantity 129 within the sequence keeps to record fresh advances with major, up to date chapters by way of across the world well-known researchers.
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Extra resources for Advances in Chemical Physics,
The fact that the spreading coefﬁcients satisfy these conditions does not guarantee that the stable ﬁlm is on the order of several molecular layers thickness in PFPE ﬁlms. Tyndall et al.  reported that the surface energy of PFPE Zdol ﬁlms varied with a thickness between 0 and 4 nm, which is considered to be the thickness of the layered structure of PFPE ﬁlms near the surface with chain ends facing each other or the solid surface. We incorporated the variation of surface energy into our stability analysis by assuming that the surface energy function is sinusoidal with an exponential decay envelope of nd nd gnd L ¼ gL0 þ ÁgL cos ph z0 À h þ a exp hm ‘ ð1:21Þ nd where hm is monolayer thickness, gnd L0 is the surface energy of bulk PFPE, ÁgL is the amplitude, and a is the phase shift.
PFPE Z 3D simulation results: J=kB T ¼ 2, A=kB T ¼ 1000, 105 lattice steps. 37. PFPE Zdol 3D simulation results: J=kB T ¼ 1, A=kB T ¼ 1000, K0 =kB T ¼ 4, W0 =kB T ¼ 4, d ! 1, 105 lattice steps. Here, Df is the fractal dimension, which differs for the monolayer and multilayer situations, implying that Df is determined not only by lateral movement (virtually independent of layer thickness) but also by a cascade effect from overlying layers. By quantifying Df as a function of the molecule/surface coupling, as well as the number of monolayers, Df can be used as a ﬁngerprint to analyze lubricant/surface pairs, and possibly become a critical parameter for the selection of optimal lubricants.
19 do not collapse into a single line, we deduce the presence of temperature-dependent microstructures in the PFPE samples. 19. Modiﬁed Cole–Cole plot for PFPE Z8. 20 for Zdol1 at 10 C with the following remarks. The simple Rouse theory in Eq. 11) implies that G0R G0 ¼ F1 ðot1 Þ and G0 G00R G00 ¼ F2 ðot1 Þ G0 ð1:12Þ By eliminating ot1 from Eq. 12), we obtain 00 00 G0R ¼ F1 ðot1 Þ ¼ F1 ðFÀ1 2 ðGR ÞÞ ¼ FðGR Þ ð1:13Þ where F1, F2, and F are arbitrary functions. 13) implies that the relationship between G0R and G00R is independent of temperature.