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Author: J.K. Bhattacharjee Publisher: Springer Science & Business Media ISBN: 1402053886 Category : Science Languages : en Pages : 300
Book Description
This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory, various forms of the renormalization group, and self-consistent mode coupling.
Author: J.K. Bhattacharjee Publisher: Springer Science & Business Media ISBN: 1402053886 Category : Science Languages : en Pages : 300
Book Description
This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory, various forms of the renormalization group, and self-consistent mode coupling.
Author: Steven H. Strogatz Publisher: CRC Press ISBN: 0429961111 Category : Mathematics Languages : en Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Werner Ebeling Publisher: World Scientific Publishing Company ISBN: 9813104635 Category : Science Languages : en Pages : 342
Book Description
This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.
Author: Joel Keizer Publisher: Springer Science & Business Media ISBN: 1461210542 Category : Science Languages : en Pages : 517
Book Description
The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.
Author: Anastasios A. Tsonis Publisher: Springer Science & Business Media ISBN: 0387349189 Category : Science Languages : en Pages : 603
Book Description
This work comprises the proceedings of a conference held last year in Rhodes, Greece, to assess developments during the last 20 years in the field of nonlinear dynamics in geosciences. The volume has its own authority as part of the Aegean Conferences cycle, but it also brings together the most up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences, and discusses the advances made and the future directions of nonlinear dynamics.
Author: Erwin B. Montgomery Jr. Publisher: Elsevier ISBN: 0443216983 Category : Medical Languages : en Pages : 405
Book Description
Nonlinear Dynamics of Parkinson's Disease and the Basal Ganglia-Thalamic-Cortical System examines current research regarding the operations of the basal ganglia-thalamic-cortical system that causes neurological disorders like Parkinson's disease. While there have been remarkable advances in the understanding of the anatomy, physiology and chemistry of these systems, there remains a significant degree of inconsistency and incompleteness between facts and advancements. This book introduces the novel concepts of nonlinear complex systems and their connection to Parkinsonism as well as hyperkinetic disorders. The actual mechanisms underlying the motor disorders of Parkinson's disease at the level of the lower motor neuron are also discussed. - Outlines phenomenological selectivity of pallidotomy and Deep Brain Stimulation - Reviews the anatomical models of pathophysiology and physiology - Discusses the instrumental and analytical misrepresentations and the inferences that misrepresent the data in Nonmonotonic Nonlinear Dynamics
Author: Michael Cross Publisher: Cambridge University Press ISBN: 0521770505 Category : Mathematics Languages : en Pages : 547
Book Description
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Author: Xavier de Hemptinne Publisher: World Scientific ISBN: 9789810209261 Category : Science Languages : en Pages : 304
Book Description
This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (Bnard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.
Author: Paul Meakin Publisher: Cambridge University Press ISBN: 9780521452533 Category : Mathematics Languages : en Pages : 700
Book Description
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author: J.K. Bhattacharjee
Author: J.K. Bhattacharjee
Author: Steven H. Strogatz
Author: Werner Ebeling
Author: Jayanta K. Bhattacharjee
Author: Joel Keizer
Author: Anastasios A. Tsonis
Author: Erwin B. Montgomery Jr.
Author: Michael Cross
Author: Xavier de Hemptinne
Author: Paul Meakin