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Isaac Newton Institute for Mathematical Sciences

The workshop will foster dialogue and interaction among oceanographers, plasma physicists, geophysical and astrophysical fluid dynamicists, soft-condensed-matter physicists, applied mathematicians and biophysicists. The central aim of the workshop is cross-fertilization, formation of new collaborations, and progress toward collective understanding.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Applied Mathematics (in general),    Plasma and Gas-discharge Physics, Nuclear Fusion

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on staircases and layering in magnetized plasmas, with the aim of promoting progress in mathematical modelling by drawing on theory, simulations, and phenomenology. Topics will include edge and core transport barriers, staircases, avalanching and perturbative experiments, reduced models and their validation. The crucial role of the boundary and the boundary conditions will be emphasized. The workshop will explore approaches to profile and confinement optimization, and discuss future research directions, including approaches to ignition, energetic particle effects and the interplay of electron and ion scales.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Applied Mathematics (in general),    Plasma and Gas-discharge Physics, Nuclear Fusion

Isaac Newton Institute for Mathematical Sciences

Anti-diffusive phenomena are the remarkable processes whereby up-gradient transport leads to large-scale structure formation. Such self-organization can occur through coarsening, coalescence, a flux between different scales, or a combination of the above. It is particularly striking in systems which are chaotic or turbulent, where there is no known organizing principle such as minimization of energy or a long-wave instability. From the jets on Jupiter to sand ripples on dunes to drop coalescence, large-scale formation can occur in systems of very different scale and physical origin, including oceanographic and atmospheric flows, magnetically-confined plasmas, and active and multiphase fluids. Despite the ubiquity of the phenomena, many open questions remain: are there universal mechanisms underlying the formation and sustainment of large-scale structures, shared by these systems? Is there a common mathematical characterization? What determines the scale to which the structures grow and their resulting shape? What is the feedback between chaotic fluctuations and the large-scale structure? How do bifurcations between different large-scale structures occur in chaotic systems? How are such transitions affected by internal and external perturbations? If the system is bi-stable, are there universal transition paths in such self-organizing systems? The aim of the workshop is to bring together experts from different fields, working on related phenomena from different perspectives, to shed light on these questions.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Isaac Newton Institute for Mathematical Sciences

Our workshop on Anti-Diffusion in Multiphase and Active Flows will bring together specialists in theory, numerical simulations, and experiments to address questions including: Can we draw quantitative connections between the interfacial properties of turbulent multi-phase fluids and those of active structured fluids that can form phases with orientational order — both polar and nematic — and are important to biological applications? What are the roles of active forces and interface anchoring in renormalizing the interfacial tension and driving coarsening kinetics? Can we identify generic classes of extended systems that organize in nonequilibrium statistically steady states, with both spatial and temporal structure? How can we systematize the study of the statistical properties of particles and fields in multi-phase and active-fluid turbulence?

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

The International Symposium on Lattice Field Theory is an annual conference that attracts scientists from around the world. Originally started as a place for physicists to discuss recent developments in lattice gauge theory, the conference is now the largest of its type and has grown to cover strongly interacting phenomena in many contexts such as particle physics phenomenology and nuclear theory, as well as algorithms, code development and machine architectures.