Mathematical physics

This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective.

This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead.

This book investigates a wide range of phase equilibrium modelling and calculation problems for compositional thermal simulation.

This textbook introduces the reader to the basic concepts and equations that describe stellar structure.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face.

This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof.

This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel.

This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour.

This book presents 57 peer-reviewed papers from the 12th Conference on Traffic and Granular Flow (TGF) held in Washington, DC, in July 2017.

This book presents the latest perspectives and challenges within the interrelated fields of econophysics and sociophysics, which have emerged from the application of statistical physics to economics and sociology.

This book is aimed at researchers, industry professionals and students interested in the broad ranges of disciplines related to condition monitoring of machinery working in non-stationary conditions.

This book deals with an important topic in rational continuum physics, thermodynamics.

The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy.

This thesis uses the tools of quantum information science to uncover fascinating new insights about the intersection of quantum theory and relativity.

The sixth edition of this highly successful textbook provides a detailed introduction to Monte Carlo simulation in statistical physics, which deals with the computer simulation of many-body systems in condensed matter physics and related fields of physics and beyond (traffic flows, stock market fluctuations, etc.

Plasma Atomic Physics provides an overview of the elementary processes within atoms and ions in plasmas, and introduces readers to the language of atomic spectra and light emission, allowing them to explore the various and fascinating radiative properties of matter.

Most of the matter in our universe is in a gaseous or plasma state.

This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre "e;Energy transfers in atmosphere and ocean"e; (TRR-181), which was funded by the German Research Foundation (DFG).

This monograph presents a new model of mathematical structures called weak n-categories.

In the present work, the target station of the accelerator-driven neutron source HBS is optimized in comprehensive parameter studies using the Monto-Carlo method.

The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies.

This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities.

This book explains the modelling and simulation of thermal power plants, and introduces readers to the equations needed to model a wide range of industrial energy processes.

This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models.

This book presents a generalised computational model for the degradation of resorbable composites, using analytic expressions to represent the interwoven phenomena present during degradation.

This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications.

This easy-to read book looks at the many ways in which diffusion bears on processes that involve dispersion, starting from the Brownian motion of molecules, covering the invasion of exotic plants, migration of populations, epidemics, and extending to the spreading of languages and ideas.

This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner.

This book is about the drift, diffusion, and reaction of ions moving through gases under the influence of an external electric field, the gas temperature, and the number density.

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.

Back Cover Text:This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation.

This book introduces a quantum-mechanical description of the nuclear fission process from an initial compound state to scission.

This book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions.

This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE.

The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality.

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory.

This work introduces heavy ion beam probe diagnostics and presents an overview of its applications.

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

This book describes an effective framework for setting the right process parameters and new mold design to reduce the current plastic defects in injection molding.

This book presents the genetic connections of metamorphism and geodynamics.

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves.

This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.

This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air.

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks.

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena.

This thesis presents profound insights into the origins and dynamics of beam instabilities using both experimental observations and numerical simulations.

Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives.

This monograph develops a new way of justifying the claims made by science about phenomenon not directly observable by humans, such as atoms and black holes.

This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians.