This paper is dedicated to the effective viscosity of suspensions without inertia, at low solid volume fraction ϕ. The goal derive rigorously a o(ϕ2) formula for viscosity. In [17], [19], such was given rigid spheres satisfying strong separation assumption dmin≥cϕ−13r, where dmin minimal distance between and r their radius. It then applied both periodic random configurations with separation, yi...

In a recent paper with Bousquet-Mélou, de Gier, Duminil-Copin and Guttmann (2012), we proved that a model of self-avoiding walks on the honeycomb lattice, interacting with an impenetrable surface, undergoes an adsorption phase transition when the surface fugacity is 1 + √ 2. Our proof used a generalisation of an identity obtained by Duminil-Copin and Smirnov (2012), and confirmed a conjecture o...

We compute analytically the probability distribution function P(ε) of the dissipation field ε = (∇θ)2 of a passive scalar θ advected by a d-dimensional random flow, in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime). The tail of the distribution is a stretched exponential: for ε → ∞, lnP(ε) ∼ −(d2ε)1/3. PACS numbers: 47.10.+g, 47.27.-i, 05.40.+j

K. E. Emblem, P. Polaskova, D. L. Jennings, E. R. Gerstner, T. T. Batchelor, R. K. Jain, and G. Sorensen A. A. Martinos Center for Biomedical Imaging, Massachusetts General Hospital, Boston, Massachusetts, United States, Pappas Center for Neuro-Oncology, Massachusetts General Hospital, Boston, Massachusetts, United States, Department of Radiation Oncology, Massachusetts General Hospital, Boston...

Anil N Makam ([email protected]) Holly J Lanham ([email protected]) Kim Batchelor ([email protected]) Lipika Samal ([email protected]) Brett Moran ([email protected]) Temple Howell-Stampley ([email protected]) Lynne Kirk ([email protected]) Manjula Cherukuri ([email protected]) Noel Santini ([email protected]) Luci ...