Analysis of Dynamic Light Scattering from Transient Gels

R. Nossal
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Abstract

The possibility of using dynamic light scattering to measure parameters describing the dynamic response of transiently bonded gels is investigated. When a sample is subjected to externally imposed mechanical excitation, a resonance in the frequency dependence of the response will be observed if the relaxation times for bond formation and breakage are long on a timescale determined by the dimensions and the instantaneous shear modulus of the sample. However, if the relaxation is fast on such a timescale, the response does not show resonance behavior and is maximal at zero frequency. Analytical expressions are provided that relate the half-widths of spectral response to kinetic parameters pertaining to the internal restructuring of the gel matrix.
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瞬态凝胶的动态光散射分析
研究了用动态光散射来测量描述瞬态键合凝胶动态响应参数的可能性。当样品受到外部施加的机械激励时,如果键形成和断裂的松弛时间在由样品的尺寸和瞬时剪切模量决定的时间尺度上很长,则会观察到响应的频率依赖共振。然而,如果在这样的时间尺度上弛豫很快,则响应不表现出共振行为,并且在零频率处最大。给出了光谱响应半宽度与凝胶基质内部重构动力学参数之间的解析表达式。
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