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Physics of Long-Range Interacting Systems
This book deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle distances; in particular, systems where the decay is slower than the inverse inter-particle distance raised to the dimension of the embedding space. Gravitational and Coulomb interactions are the most prominent examples, however it has become clear that long-range interactions are more common than previously thought. A satisfactory understanding of properties, generally considered as oddities only a couple of decades ago, has now been reached: ensemble inequivalence, negative specific heat, negative susceptibility, ergodicity breaking, out-of-equilibrium quasi-stationary-states, anomalous diffusion. The book, intended for Master and PhD students, tries to gradually acquaint the reader with the subject. The first two parts describe the theoretical and computational instruments needed to address the study of both equilibrium and dynamical properties of systems subject to long-range forces. The third part of the book is devoted to applications of such techniques to the most relevant examples of long-range systems.
IUTAM Symposium on Turbulence in the Atmosphere and Oceans
The text of the Persian poet Rum ̄ ̄ ?, written some eight centuries ago, and reproduced at the beginning of this book is still relevant to many of our pursuits of knowledge, not least of turbulence. The text illustrates the inability people have in seeing the whole thing, the ‘big picture’. Everybody looks into the problem from his/her vi- point, and that leads to disagreement and controversy. If we could see the whole thing, our understanding would become complete and there would be no cont- versy. The turbulent motion of the atmosphere and oceans, at the heart of the observed general circulation, is undoubtedly very complex and dif?cult to understand in its entirety. Even ‘bare’...
Peyresq Lectures on Nonlinear Phenomena
This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin(r)aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomen
Gestaltungsmetrik
This treatise introduces Gestaltungsmetrik as a conceptual framework for studying and designing informal spaces, from image and Gestaltung to anatomy and materials. In mathematics and physics, the nexus between movement and space can be described by parallel transport on a metric space. This nexus may define analogue activity related to nontrivial geometries such as anholonomy effects due to transport on geometries, leading to holonomic computing and topological nonreciprocity or filtering. Yet the notion of metric spaces for activity design, particularly in the context of cultural and material sciences, is far from widespread. This prompts a rethinking of broadly defined parallel transport along nontrivial metric spaces with the aim of clarifying and improving the design of geometric activity. Gestaltungsmetrik emerges as the study of informal spaces by focusing on the intended anholonomy of parallel transport on an underlying latent Riemannian metric, imbuing agents with geometric activities in physical, artistic, societal and cultural spaces.
Dynamics and Thermodynamics of Systems with Long Range Interactions: Theory and Experiments
The workshop was about the developments of the thermodynamical and dynamical behavior of many-body systems in which the interactions decay very slowly with the distance: they present very strange properties, not found in the other systems. The possibility of testing the theoretical ideas in laboratory systems was the most innovative issue.
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