Solidity of viscous liquids. III. Alpha relaxation

It is suggested that the $\omega^{-1/2}$ high-frequency decay of the alpha loss in highly viscous liquids, which appears to be generic, is a manifestation of a negative long-time tail as typically encountered in stochastic dynamics. The proposed mechanism requires that the coherent diffusion constant is much larger than estimated from the alpha relaxation time. This is justified by reference to the solidity of viscous liquids in an argument which, by utilizing the irrelevance of momentum conservation at high viscosity and introducing a center of mass diffusion constant, implies that at high viscosity the coherent diffusion constant is much larger than the incoherent diffusion constant

All-Order Corrections To Higgs Boson Production In Association With Jets

We present a new framework for calculating multi-jet observables. The framework is based on the factorisation of scattering amplitudes in the kinematical limit of large invariant mass between all particles. We show that by constraining the analyticity of scattering amplitudes away from this limits, we get good agreement order by order with the full, fixed order perturbative calculation at the low orders where these are available, and therefore get firm predictions on the all-order behaviour. As an example, we study Higgs boson production through gluon fusion in association with at least two jets at the LHC.Comment: Invited talk at 44th Rencontres de Moriond on QCD and High Energy Interactions, La Thuile, Valle d'Aosta, Italy, 14-21 Mar 200

Elastic Models for the Non-Arrhenius Relaxation Time of Glass-Forming Liquids

We first review the phenomenology of viscous liquids and the standard models used for explaining the non-Arrhenius average relaxation time. Then the focus is turned to the so-called elastic models, arguing that these models are all equivalent in the Einstein approximation (where the short-time elastic properties are all determined by just one effective, temperature-dependent force constant). We finally discuss the connection between the elastic models and two well-established research fields of condensed-matter physics: point defects in crystals and solid-state diffusion.Comment: Paper presented at the IWCS2005 (Nov. 2005, Sendai, Japan

Solidity of viscous liquids II: Anisotropic flow events

Recent findings on the displacements in the surroundings of isotropic flow events in viscous liquids [Phys. Rev. E, to appear Feb. 1999] are generalized to the anisotropic case. Also, it is shown that a flow event is characterized by a dimensionless number reflecting the degree of anisotropy.Comment: Rev-tex file, no figures, submitted to Phys. Rev. E as a Brief Repor

On the possible existence of crystallites in glass-forming liquids

We speculate that glass-forming liquids may contain fairly large and well-defined crystallites. This is based on arguing that the slowly relaxing "frozen-in" stresses characterizing ultraviscous liquids increase the barrier for nucleation, thus allowing for larger unstable crystallites than otherwise possible. The frozen-in stresses also deform the crystallites, making their observation difficult; specifically it is argued that a situation where 1/N of the molecules form N X N X N crystallites would be hard to detect by standard X-ray or neutron scattering experiments

Robin Hood Justice: Why Robin Hood Took from the Rich and Gave to the Poor (and We Should Too)

The legend of Robin Hood exemplifies a distinct concern of justice neglected by theorists: the distributive results of systemic injustices. Robin Hood’s redistributive activities are justified by the principle that the distributive results of systemic injustices are unjust and should be corrected. This principle has relevance beyond the legend: since current inequalities in the US are results of systemic injustices, the US has good reason to take from the rich and give to the poor

NVU perspective on simple liquids' quasiuniversality

The last half century of research into the structure, dynamics, and thermodynamics of simple liquids has revealed a number of approximate universalities. This paper argues that simple liquids' reduced-coordinate constant-potential-energy hypersurfaces constitute a quasiuniversal family of compact Riemannian manifolds parameterized by a single number, from which follows these liquids' quasiuniversalities