Critical Dynamics PDF Download

Author: Uwe C. Täuber
Publisher: Cambridge University Press
ISBN: 1139867202
Category : Science
Languages : en
Pages : 529

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Book Description
Introducing a unified framework for describing and understanding complex interacting systems common in physics, chemistry, biology, ecology, and the social sciences, this comprehensive overview of dynamic critical phenomena covers the description of systems at thermal equilibrium, quantum systems, and non-equilibrium systems. Powerful mathematical techniques for dealing with complex dynamic systems are carefully introduced, including field-theoretic tools and the perturbative dynamical renormalization group approach, rapidly building up a mathematical toolbox of relevant skills. Heuristic and qualitative arguments outlining the essential theory behind each type of system are introduced at the start of each chapter, alongside real-world numerical and experimental data, firmly linking new mathematical techniques to their practical applications. Each chapter is supported by carefully tailored problems for solution, and comprehensive suggestions for further reading, making this an excellent introduction to critical dynamics for graduate students and researchers across many disciplines within physical and life sciences.

Author: Uwe C. Täuber
Publisher: Cambridge University Press
ISBN: 0521842239
Category : Science
Languages : en
Pages : 529

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Book Description
A comprehensive and unified introduction to describing and understanding complex interacting systems.

Author: Eduardo Fradkin
Publisher: Cambridge University Press
ISBN: 0521764440
Category : Science
Languages : en
Pages : 855

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Book Description
Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Author: Janusz Jedrzejewski
Publisher: World Scientific
ISBN: 9814704105
Category : Science
Languages : en
Pages : 230

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Book Description
This volume comprises 8 articles written by lecturers of 50th Karpacz Winter School of Theoretical Physics and their collaborators. The contributing lecturers are outstanding researchers, and experts in various fields of physics, in particular in condensed matter, quantum phase transitions and quantum critical phenomena. The articles reflect the contents of the lectures given for school participants and cover various aspects of quantum phase transitions and quantum critical phenomena, from experimental to mathematical ones. For those wishing to get acquainted with the subject, extensive lists of references are provided in the articles.

Author: Eleftherios Papantonopoulos
Publisher: Springer Science & Business Media
ISBN: 3642048633
Category : Science
Languages : en
Pages : 433

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Book Description
The AdS/CFT correspondence is a powerful tool in studying strongly coupled phenomena in gauge field theories, using results from a weakly coupled gravity background studied in the realm of string theory. AdS/CFT was first successfully applied to the study of phenomena such as the quark-gluon plasma produced in heavy ions collisions. Soon it was realized that its applicability can be extended, in a more phenomenological approach, to condensed matter systems and to systems described by fluid dynamics. The set of tutorial reviews in this volume is intended as an introduction to and survey of the principle of the AdS/CFT correspondence in its field/string theoretic formulation, its applicability to holographic QCD and to heavy ions collisions, and to give a first account of processes in fluid dynamics and condensed matter physics, which can be studied with the use of this principle. Written by leading researchers in the field and cast into the form of a high-level but approachable multi-author textbook, this volume will be of benefit to all postgraduate students, and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.

Author: Snir Gazit
Publisher: Springer
ISBN: 3319193546
Category : Science
Languages : en
Pages : 82

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Book Description
This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate that the amplitude mode can be probed arbitrarily close to criticality in the universal line shape of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening energy scales near the phase transition. In addition, the author employs the charge-vortex duality to show that the capacitance of the Mott insulator near the superfluid to insulator phase transition serves as a probe for the dual vortex superfluid stiffness. The numerical methods employed are described in detail, in particular a worm algorithm for O(N) relativistic models and methods for numerical analytic continuation of quantum Monte Carlo data. The predictions obtained are particularly relevant to recent experiments in cold atomic systems and disordered superconductors.

Author: Ilya Prigogine
Publisher: John Wiley & Sons
ISBN: 0470142286
Category : Science
Languages : en
Pages : 438

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Book Description
Coverage includes five chapters entitled Criticality of Ionic Fluids; Mode Coupling Theory Approach to Liquid State Dynamics; Anomalous Stochastic Processes in the Fractional Dynamics Framework: Fokker-Planck; Moment Free Energies for Polydisperse Systems; and Chemical Physics of the Electrode-Electrolyte Interface.

Author: Bernhard Kramer
Publisher: Springer Science & Business Media
ISBN: 9783540211488
Category : Science
Languages : en
Pages : 600

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Book Description
This Volume 44 of Advances in Solid State Physics contains the written versions of most of the invited lectures of the Spring Meeting of the Condensed Matter Physics section of the Deutsche Physikalische Gesellschaft held from March 8 to 12, 2004 in Regensburg, Germany. Many of the topical talks given at the numerous and very lively symposia are also included. They have covered extremely interesting and timely subjects. Thus the book truly reflects the status of the field of solid state physics in 2004, and indicates its importance, not only in Germany but also internationally.

Author: A R Bishop
Publisher: World Scientific
ISBN: 981448671X
Category : Science
Languages : en
Pages : 233

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Book Description
There is considerable interest in the intrinsically multiscale structure and dynamics of complex electronic oxides, especially since these materials include those of technological importance, such as colossal magnetoresistance manganites and cuprate high temperature superconductors. Current microscopies, such as diffuse X-ray and inelastic neutron scattering, electromagnetic and acoustic response, NMR and scanning tunneling microscope probes, have revealed static and dynamic multiscale patterns in charge positioning, lattice structure and magnetic orientation, that respond to both external stress and magnetic field. These self-organized patterns include charge and orbital ordering; stripes in strain/spin; and labyrinth-like conductance modulations. The materials exhibit nanoscale phase segregation and mesoscale inhomogeneous clustering, and their phase transitions can have a percolative character.This volume presents experimental and theoretical work on these exciting new developments in condensed matter physics and materials science.

Author: Armando Francesco Borghesani
Publisher: OUP Oxford
ISBN: 0191526711
Category : Science
Languages : en
Pages : 559

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Book Description
Electrons and ions have been used for over 40 years as probes to investigate the fascinating properties of helium liquids. The study of the transport properties of microscopic charge carriers sheds light on superfluidity, on quantum hydrodynamics, and on the interactions with collective excitations in quantum liquids. The structure of the probes themselves depends on their coupling with the liquid environment in a way that gives further insight into the microscopic behavior of the liquid in different thermodynamic conditions, such as in the superfluid phase, in the normal phase, or near the liquid-vapor critical point. This book provides a comprehensive review of the experiments and theories of transport properties of charge carriers in liquid helium. It is a subject about which no other monograph exists to date. The book is intended for graduate and postgraduate students and for condensed matter physicists who will benefit from its completeness and accuracy.