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Field Theoretical Tools for Polymer and Particle Physics
The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics
The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018. The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan. A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.
Statistical Mechanics
Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.
A Clinician's Guide to Statistics and Epidemiology in Mental Health
Accessible and clinically relevant, A Clinician's Guide to Statistics and Epidemiology in Mental Health describes statistical concepts in plain English with minimal mathematical content, making it perfect for the busy health professional. Using clear language in favour of complex terminology, limitations of statistical techniques are emphasized, as well as the importance of interpretation - as opposed to 'number-crunching' - in analysis. Uniquely for a text of this kind, there is extensive coverage of causation and the conceptual, philosophical and political factors involved, with forthright discussion of the pharmaceutical industry's role in psychiatric research. By creating a greater understanding of the world of research, this book empowers health professionals to make their own judgments on which statistics to believe - and why.
Modern Aspects of Electrochemistry No. 6
In the last decade, the evolution of electrochemistry away from concern with the physical chemistry of solutions to its more fruitful goal in the study of the widespread consequences of the transfer of electric charges across interphases has come to fruition. The turning of technology away from an onward rush, regardless, to progress which takes into account repercussions of techno logical activity on the environment, and the consequent need for a reduction and then termination of the injection of CO into 2 the atmosphere (greenhouse effect), together with a reckoning with air and water pollution in general, ensures a long-term need for advances in a basic knowledge of electrochemical system...
Mathematical Foundations of Classical Statistical Mechanics
This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey...
A Clinician's Guide to Statistics in Mental Health
The second edition of a clear and accessible guide to the application of statistics in psychiatric practice. The book expertly describes statistical concepts in clear and simple terms, with minimal mathematical content, making it the ideal resource for busy mental health professionals. Fully revised throughout, it features five new chapters covering key advances in the field and important topics in greater detail. Amongst the key concepts discussed in this edition are the logic of randomization, clinical trials, the overuse of p-values, understanding effect sizes, meta-analysis and why clinical experience is limited by observational confounding bias. Featuring a wealth of clinical examples, on topics of high importance or controversy in psychiatry, plus explanations and reasoning, to give clinicians a better understanding of how to apply research to their practice.
Principles of Phase Structures in Particle Physics
The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase convers...
The Many-body Problem
This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ? such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz ? can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.
