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- Simone Pigolotti, Roberto Benzi, Mogens H Jensen, David R Nelson
- Physical review letters
- 2012

We study competition between two biological species advected by a compressible velocity field. Individuals are treated as discrete Lagrangian particles that reproduce or die in a density-dependent fashion. In the absence of a velocity field and fitness advantage, number fluctuations lead to a coarsening dynamics typical of the stochastic Fisher equation. We… (More)

This is a paper about multifractal scaling and dissipation in a shell model of turbulence, called the Gledzer-Ohkitani-Yamada (GOY) model. This set of equations describes a one-dimensional cascade of energy towards higher wave vectors. When the model is chaotic, the high-wave-vector velocity is a product of roughly independent multipliers, one for each… (More)

Organisms often grow, migrate and compete in liquid environments, as well as on solid surfaces. However, relatively little is known about what happens when competing species are mixed and compressed by fluid turbulence. In these lectures we review our recent work on population dynamics and population genetics in compressible velocity fields of one and two… (More)

- Simone Pigolotti, Roberto Benzi
- Physical review letters
- 2014

We study a stochastic spatial model of biological competition in which two species have the same birth and death rates, but different diffusion constants. In the absence of this difference, the model can be considered as an off-lattice version of the voter model and presents similar coarsening properties. We show that even a relative difference in… (More)

- Roberto Benzi
- Science
- 2003

- M Sbragaglia, R Benzi, L Biferale, S Succi, K Sugiyama, F Toschi
- Physical review. E, Statistical, nonlinear, and…
- 2007

The physical behavior of a class of mesoscopic models for multiphase flows is analyzed in details near interfaces. In particular, an extended pseudopotential method is developed, which permits to tune the equation of state and surface tension independently of each other. The spurious velocity contributions of this extended model are shown to vanish in the… (More)

- Itamar Procaccia, Victor S. L’vov, Roberto Benzi
- 2007

The flow of fluids in channels, pipes or ducts, as in any other wall-bounded flow (like water along the hulls of ships or air on airplanes) is hindered by a drag, which increases many-folds when the fluid flow turns from laminar to turbulent. A major technological problem is how to reduce this drag in order to minimize the expense of transporting fluids… (More)

- Massimo Bernaschi, Ludovico Rossi, Roberto Benzi, Mauro Sbragaglia, Sauro Succi
- Physical review. E, Statistical, nonlinear, and…
- 2009

A graphic processing unit (GPU) implementation of the multicomponent lattice Boltzmann equation with multirange interactions for soft-glassy materials ["glassy" lattice Boltzmann (LB)] is presented. Performance measurements for flows under shear indicate a GPU/CPU speed up in excess of 10 for 1024(2) grids. Such significant speed up permits to carry out… (More)

- R Benzi, L Biferale, E Trovatore
- 2008

In this paper we study a new class of shell models, defined in terms of two complex dynamical variables per shell, transporting positive and negative helicity respectively. The dynamical equations are derived from a decomposition into helical modes of the velocity Fourier components of Navier-Stokes equations (F. Waleffe, Phys. Fluids A 4, 350 (1992)). This… (More)