27 Nov 1996 | Peter Sollich1*, François Lequeux2, Pascal Hébraud2, Michael E Cates1
The paper by Sollich, Lequeux, Hébraud, and Cates explores the rheological properties of soft glassy materials, such as foams, emulsions, and slurries. These materials exhibit unique rheological behaviors that are attributed to their structural disorder and metastability. The authors introduce a generic model for the mesoscopic dynamics of these materials, where interactions are represented by a mean-field noise temperature \( x \). The model predicts power-law fluid behavior with either a yield stress or without, depending on the value of \( x \). For \( 1 < x < 2 \), both storage and loss moduli vary with frequency as \( \omega^{x-1} \), becoming flat near a glass transition at \( x = 1 \). The values of \( x \) close to 1 may result from marginal dynamics, similar to spin glass models. The paper also discusses the origin and magnitude of the "attempt frequency" \( \Gamma_0 \) and the "noise temperature" \( x \), suggesting that \( x \) values close to unity are normal and can be explained by the system's metastable state. The authors further explore the implications of these findings for steady shear flow and aging phenomena, highlighting the role of flow in interrupting aging processes.The paper by Sollich, Lequeux, Hébraud, and Cates explores the rheological properties of soft glassy materials, such as foams, emulsions, and slurries. These materials exhibit unique rheological behaviors that are attributed to their structural disorder and metastability. The authors introduce a generic model for the mesoscopic dynamics of these materials, where interactions are represented by a mean-field noise temperature \( x \). The model predicts power-law fluid behavior with either a yield stress or without, depending on the value of \( x \). For \( 1 < x < 2 \), both storage and loss moduli vary with frequency as \( \omega^{x-1} \), becoming flat near a glass transition at \( x = 1 \). The values of \( x \) close to 1 may result from marginal dynamics, similar to spin glass models. The paper also discusses the origin and magnitude of the "attempt frequency" \( \Gamma_0 \) and the "noise temperature" \( x \), suggesting that \( x \) values close to unity are normal and can be explained by the system's metastable state. The authors further explore the implications of these findings for steady shear flow and aging phenomena, highlighting the role of flow in interrupting aging processes.