Fluctuating Geometries in Statistical Mechanics and Field Theory PDF Download
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Author:
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 1092
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Book Description
Author:
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 1092
Get Book Here
Book Description
Author: François David
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 1136
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Book Description
Hardbound. This session of was organized with two principal purposes. Firstly to introduce a common language and culture to a mixed audience, composed of field theorists, string theorists, condensed matter physicists and statistical mechanicians. Secondly, to expose young researchers to the recent advances in various areas of theoretical physics, where the concepts of extended objects, geometry and fluctuations are currently playing an important role.Courses included an introduction to the problem of random paths in disordered media; theoretical and numerical approaches to quantized geometries, from random paths to surfaces/strings to four-dimensional gravity; physics of amphiphilic membranes and the models of random surfaces used to describe them; defects in various physical systems; recent developments on the formulation of two-dimensional gauge theories as string theories. Problems of condensed matter physics were surveyed and a seminar on the renor
Author: Ivo Sachs
Publisher: Cambridge University Press
ISBN: 1139452460
Category : Science
Languages : en
Pages : 347
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Book Description
This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.
Author: David R. Nelson
Publisher: Cambridge University Press
ISBN: 9780521004008
Category : Science
Languages : en
Pages : 396
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Book Description
Publisher Description
Author: S. Roy
Publisher: Springer Science & Business Media
ISBN: 9401152306
Category : Science
Languages : en
Pages : 262
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Book Description
Recent results from high-energy scattering and theoretical developments of string theory require a change in our understanding of the basic structure of space-time. This book is about the advancement of ideas on the stochastic nature of space-time from the 1930s onward. In particular, the author promotes the concept of space as a set of hazy lumps, first introduced by Karl Menger, and constructs a novel framework for statistical behaviour at the microlevel. The various chapters address topics such as space-time fluctuation and random potential, non-local fields, and the origin of stochasticity. Implications in astro-particle physics and cosmology are also explored. Audience: This volume will be of interest to physicists, chemists and mathematicians involved in particle physics, astrophysics and cosmology.
Author:
Publisher: Elsevier
ISBN: 0080538762
Category : Science
Languages : en
Pages : 517
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Book Description
The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.
Author: David Nelson
Publisher: World Scientific
ISBN: 9813201495
Category : Science
Languages : en
Pages : 272
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Book Description
The School explored the delicate interplay between geometry and statistical mechanics in these materials such as microemulsions, wetting and growth interfaces, bulk lyotropic liquid crystals, chalcogenide glasses and sheet polymers, using tools from the fields of polymer physics, of differential geometry and of critical phenomena.
Author: Wim van Saarloos
Publisher: Princeton University Press
ISBN: 0691191301
Category : Science
Languages : en
Pages : 622
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Book Description
"Soft matter science is an interdisciplinary field at the interface of physics, biology, chemistry, engineering, and materials science. It encompasses colloids, polymers, and liquid crystals as well as rapidly emerging topics such as metamaterials, memory formation and learning in matter, bioactive systems, and artificial life. This textbook introduces key phenomena and concepts in soft matter from a modern perspective, marrying established knowledge with the latest developments and applications. The presentation integrates statistical mechanics, dynamical systems, and hydrodynamic approaches, emphasizing conservation laws and broken symmetries as guiding principles while paying attention to computational and machine learning advances. The book features introductory chapters on fluid mechanics, elasticity, and stochastic phenomena and also covers advanced topics such as pattern formation and active matter. it discusses technological applications as well as relevant phenomena in the life sciences and offers perspectives on emerging research directions"--
Author: Éric Blayo
Publisher: OUP Oxford
ISBN: 0191035777
Category : Science
Languages : en
Pages : 609
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Book Description
Data assimilation aims at determining as accurately as possible the state of a dynamical system by combining heterogeneous sources of information in an optimal way. Generally speaking, the mathematical methods of data assimilation describe algorithms for forming optimal combinations of observations of a system, a numerical model that describes its evolution, and appropriate prior information. Data assimilation has a long history of application to high-dimensional geophysical systems dating back to the 1960s, with application to the estimation of initial conditions for weather forecasts. It has become a major component of numerical forecasting systems in geophysics, and an intensive field of research, with numerous additional applications in oceanography, atmospheric chemistry, and extensions to other geophysical sciences. The physical complexity and the high dimensionality of geophysical systems have led the community of geophysics to make significant contributions to the fundamental theory of data assimilation. This book gathers notes from lectures and seminars given by internationally recognized scientists during a three-week school held in the Les Houches School of physics in 2012, on theoretical and applied data assimilation. It is composed of (i) a series of main lectures, presenting the fundamentals of the most commonly used methods, and the information theory background required to understand and evaluate the role of observations; (ii) a series of specialized lectures, addressing various aspects of data assimilation in detail, from the most recent developments of the theory to the specificities of various thematic applications.
Author: Claude Fabre
Publisher: Oxford University Press
ISBN: 0198768605
Category : Science
Languages : en
Pages : 479
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Book Description
Over the last few decades, the quantum aspects of light have been explored and major progress has been made in understanding the specific quantum aspects of the interaction between light and matter. The domain of classical optics has recently seen many exciting new developments, especially in the areas of nano-optics, nano-antennas, metamaterials, and optical cloaking. Approaches based on single-molecule detection and plasmonics have provided new avenues for exploring light-matter interaction at the nanometre scale. All these topics have in common a trend to consider and use smaller and smaller objects, down to the micrometre, nanometre, and even atomic range. The summer school held in Les Houches in July 2013 treated all these subjects lying at the frontier between nanophotonics and quantum optics, in a series of lectures given by world experts
