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Effects of shear flow on phase nucleation and crystallization.
TLDR
A classical nucleation theory for sheared systems starting from the molecular level of the Becker-Doering master kinetic equation is developed and a closed-form expression for the nucleation rate is derived that predicts an optimal shear rate at which the nucleations rate is one order of magnitude larger than in the absence of flow.
Approximate analytical description of the nonaffine response of amorphous solids
An approximation scheme for model disordered solids is proposed that leads to the fully analytical evaluation of the elastic constants under explicit account of the inhomogeneity (nonaffinity) of the
Disorder-assisted melting and the glass transition in amorphous solids.
TLDR
The theory explains the basic mechanism of the melting transition of amorphous (disordered) solids in terms of the lattice energy lost to this nonaffine motion, compared to which thermal vibrations turn out to play only a negligible role.
Interatomic repulsion softness directly controls the fragility of supercooled metallic melts
TLDR
A linear relationship is found between the fragility and the energy scales of both the screened Coulomb and the electron overlap repulsions and this relationship opens up opportunities to fabricate alloys with tailored thermoelasticity and fragility by rationally tuning the chemical composition of the alloy according to general principles.
Theory of activated-rate processes under shear with application to shear-induced aggregation of colloids.
TLDR
The theory explains the induction time followed by explosive rise of viscosity observed in charge-stabilized colloidal and protein systems under steady shear, and demonstrates the important role of shear drive in activated-rate processes as they are encountered in soft condensed matter.
Local inversion-symmetry breaking controls the boson peak in glasses and crystals
It is well known that amorphous solids display a phonon spectrum where the Debye $\sim \omega^2$ law at low frequency melds into an anomalous excess-mode peak (the boson peak) before entering a
Linking self-assembly, rheology, and gel transition in attractive colloids
We propose a microscopic framework based on nonequilibrium statistical mechanics to connect the microscopic level of particle self-assembly with the macroscopic rheology of colloidal gelation. The
Criticality for shear-induced gelation of charge-stabilized colloids
Colloidal systems that are well stabilized by electrostatic repulsive forces can be activated by intense shear flow and transformed into solid-like gels, without adding any electrolyte. We have
Unifying model for random matrix theory in arbitrary space dimensions.
TLDR
A sparse random block matrix model suggested by the Hessian matrix used in the study of elastic vibrational modes of amorphous solids is presented and analyzed, and the Marchenko-Pastur spectral density is reproduced exactly in the limit of infinite size of the blocks, or d→∞, which clarifies the physical meaning of space dimension in these models.
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