Anti-diffusive dynamics: from sub-cellular to astrophysical scales
ADI
8 January 2024 to 28 June 2024
Programme theme
Anti-diffusive (`negative viscosity') phenomena are the remarkable processes by which up-gradient transport leads to mesoscopic structure formation in many physical and biological systems, including those that are chaotic or turbulent. The formation of layers or staircases – i.e., regular patterns in which steep-gradient layers (transport barriers) are situated between zones of stronger mixing – is a typical outcome of anti-diffusion. This state of inhomogeneous mixing resembles closely that of spontaneous phase separation, familiar from statistical mechanics, and so is contrary to the naively expected limiting case of homogenisation. Layered systems exhibit very different transport properties to those of familiar weakly inhomogeneous systems. Understanding the physics of anti-diffusion and layering is therefore crucial to developing an accurate description of transport in multi-phase and active fluids, metallurgy, magnetically-confined plasmas, oceanographic and atmospheric flows – which determine climate – and stellar interiors. In addition to the physical applications, important fundamental questions remain unanswered concerning an underlying common mathematical foundation for the different physical phenomena. Furthermore, since, mathematically, the anti-diffusion problem in its starkest form is ill-posed, there is considerable interest in how the problem can be regularised, and in the dynamics resulting from different approaches. On the computational side, the efficient and accurate representation of states with two or more highly disparate scales represents a significant challenge. The programme will be extremely broad and interdisciplinary, bringing together researchers in fluid dynamics – particularly geophysical and astrophysical – in plasma physics and in active matter, as well as experts on the mathematical analysis and computational aspects of anti-diffusive phenomena.
Workshops
Layering — A structure formation mechanism in oceans, atmospheres, active fluids and plasmas
15 January 2024 to 19 January 2024
Layering in Magnetized Plasmas
19 February 2024 to 23 February 2024
Mathematical and Computational Modelling of Anti-Diffusive Phenomena
25 March 2024 to 28 March 2024
Climate Applications of Layering
20 May 2024 to 24 May 2024
Anti-Diffusion in Multiphase and Active Flows
10 June 2024 to 14 June 2024
Organisers
- Patrick Diamond University of California, San Diego
- Guilhem Dif-Pradalier CEA, Cadarache
- Anna Frishman Technion - Israel Institute of Technology
- David Hughes University of Leeds
- Alexis Kaminski University of California, Berkeley
- M Cristina Marchetti University of California, Santa Barbara
- Rahul Pandit Indian Institute of Science
- Bruce Sutherland University of Alberta
- Mary-Louise Timmermans Yale University
Participants
- Ricard Alert Max-Planck-Institut für Physik komplexer Systeme, Dresden
- Alexandros Alexakis École Normale Supérieure
- Sandro Azaele Università degli Studi di Padova
- Neil Balmforth University of British Columbia
- Adrian Barker University of Leeds
- Dwight Barkley University of Warwick
- Daniel Boutros University of Cambridge
- Till Bretschneider University of Warwick
- Nicholas Brummell University of California, Santa Cruz
- Livio Carenza Lorentz Institute, Leiden University; Koç University
- Mike Cates University of Cambridge
- Greg Chini University of New Hampshire
- Laura Cope University of Leeds
- Andrew Cumming McGill University
- Amita Das Indian Institute of Technology
- Sujit Datta Princeton University
- Robert Dewar Australian National University
- Patrick Diamond University of California, San Diego
- Guilhem Dif-Pradalier CEA, Cadarache
- Berengere Dubrulle CEA/Saclay; Université Paris Saclay
- Tom Eaves University of Dundee
- Gregory Falkovich Weizmann Institute of Science
- Benjamin Favier CNRS (Centre national de la recherche scientifique); Aix Marseille Université
- Effie Fine Scripps Institution of Oceanography
- Mara Freilich Brown University
- Anna Frishman Technion - Israel Institute of Technology
- Rafael Fuentes University of Colorado Boulder
- Xavier Garbet Nanyang Technological University; CEA, Cadarache
- John Gibbon Imperial College London
- Celine Guervilly Newcastle University
- Weixin Guo Huazhong University of Science and Technology
- Özgür Gürcan CNRS & École polytechnique
- Thomas Haine Johns Hopkins University
- Peter Haynes University of Cambridge
- Corentin Herbert ENS - Lyon
- Linda Hirst University of California, Merced
- Rebecca Hoyle University of Southampton
- David Hughes University of Leeds
- Christopher Jones University of Leeds
- Yariv Kafri Technion - Israel Institute of Technology
- Rich Kerswell University of Cambridge
- Eun-jin Kim Coventry University
- Edgar Knobloch University of California, Berkeley
- Joris Labarbe Université de Nice
- Patrice Le Gal Aix Marseille Université; Institut de Recherche sur les Phénomènes Hors Equilibre
- Michael LeBars CNRS (Centre national de la recherche scientifique)
- Daphné Lemasquerier University of St Andrews
- Tanniemola Liverpool University of Bristol
- Joanne Mason University of Exeter
- Leo Middleton Woods Hole Oceanographic Institution
- Alexander Milovanov ENEA C.R. Frascati; Max-Planck-Institut für Physik komplexer Systeme, Dresden
- Cesare Nardini SPEC, CEA-Saclay
- Nairita Pal Indian Institute of Technology Kharagpur
- Rahul Pandit Indian Institute of Science
- Francesco Paparella New York University
- Prasad Perlekar Tata Institute of Fundamental Research
- Paul Edward Pruzina
- Sriram Ramaswamy Indian Institute of Science
- Peter Leonard Read University of Oxford
- Igor Rogachevskii Ben-Gurion University
- Samriddhi Sankar Ray International Centre for Theoretical Sciences, TIFR, Bangalore; Tata Institute of Fundamental Research
- Yanick Sarazin CEA, Cadarache
- Richard Scott University of St Andrews
- Suraj Shankar University of Michigan
- Nicole Shibley Princeton University
- Bruce Sutherland University of Alberta
- Leif Thomas Stanford University
- Mary-Louise Timmermans Yale University
- Laurette Tuckerman PMMH-ESPCI; CNRS (Centre national de la recherche scientifique); ESPCI ParisTech
- Massimo Vergassola CNRS - Ecole Normale Superieure Paris; UC San Diego
- Lu Wang Huazhong University of Science and Technology
- Stephanie Waterman University of British Columbia
- Nobumitsu Yokoi University of Tokyo
- Qi Zhou University of Calgary
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