This book delves into the foundational principles governing the treatment of molecular networks and "e;chemical space"e;-the comprehensive domain encompassing all physically achievable molecules-from the perspectives of vector space, graph theory, and data science.
The aim of this international symposium was to bring together active scientists from Central, East and West Europe working in the field of physics of continua.
All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range.
Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects.
This book covers the broad subject of equilibrium statistical mechanics along with many advanced and modern topics such as nucleation, spinodal decomposition, inherent structures of liquids and liquid crystals.
In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible.
This book presents an introduction to the main concepts of statistical physics, followed by applications to specific problems and more advanced concepts, selected for their pedagogical or practical interest.
This book explains in detail the key concepts, calculations and applications elucidating quantum tunnelling mediated by instantons, using the Feynman path integral.
A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "e;reversibility paradox"e;, with modern tools.
This book delves into the intricate world of soft matter physics, specifically focusing on two contemporary complex systems: ferronematics and living liquid crystals.
This book is the fourth in the series of review papers on advanced problems of phase transitions and critical phenomena, the first three volumes appeared in 2004, 2007, and 2012.
This book describes in detail the fundamental mathematics and algorithms of machine learning (an example of artificial intelligence) and signal processing, two of the most important and exciting technologies in the modern information economy.
This text presents a concise and thorough introduction to the main concepts and practical applications of thermodynamics and kinetics in materials science.
This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes.
This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter.
The following topics were covered: the study of renormalization group flows between field theories using the methods of quantum integrability, S-matrix theory and the thermodynamic Bethe Ansatz; impurity problems approached both from the point of view of conformal field theory and quantum integrability.
This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 - the first ever conference to deal exclusively with this topic.
Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science.
In July 2009, many experts in the mathematical modelling of biological sciences gathered in Les Houches for a 4-week summer school on the mechanics and physics of biological systems.
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics.
This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning.
This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871).
