Renormalization Group and Instantons in Stochastic Nonlinear Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Renormalization Group and Instantons in Stochastic Nonlinear Dynamics write by Dimitri Volchenkov. This book was released on 2009. Renormalization Group and Instantons in Stochastic Nonlinear Dynamics available in PDF, EPUB and Kindle.
Random Walks and Diffusions on Graphs and Databases
Random Walks and Diffusions on Graphs and Databases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Walks and Diffusions on Graphs and Databases write by Philipp Blanchard. This book was released on 2011-05-26. Random Walks and Diffusions on Graphs and Databases available in PDF, EPUB and Kindle. Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks.
Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis
Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis write by Teiji Kunihiro. This book was released on 2022-04-01. Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis available in PDF, EPUB and Kindle. This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
Exact Renormalization Group, The - Proceedings Of The Workshop
Exact Renormalization Group, The - Proceedings Of The Workshop - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exact Renormalization Group, The - Proceedings Of The Workshop write by Alexander Krasnitz. This book was released on 1999-08-13. Exact Renormalization Group, The - Proceedings Of The Workshop available in PDF, EPUB and Kindle. The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems write by Malo Tarpin. This book was released on 2020-03-19. Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems available in PDF, EPUB and Kindle. This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.
