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Author: Walter Pressman Publisher: Forgotten Books ISBN: 9781333319359 Category : Science Languages : en Pages : 46
Book Description
Excerpt from Equation of State and Phase Transition of the Spherical Lattice Gas The spherical lattice gas is a simplified model of a gas. We introduce it because we can deduce its equation of state statistical mechanically. We find that it undergoes phase transition in three dimensions, although not in one or two dimensions. We also find that its isotherms and transition curve, shown in Figure 9 are in qualitative agreement with experimental curves. However they exhibit a physically unreasonable negative pressure at very large and very small Specific volumes. This can be traced to an inadequacy of the model for such specific volumes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Walter Pressman Publisher: Forgotten Books ISBN: 9781333319359 Category : Science Languages : en Pages : 46
Book Description
Excerpt from Equation of State and Phase Transition of the Spherical Lattice Gas The spherical lattice gas is a simplified model of a gas. We introduce it because we can deduce its equation of state statistical mechanically. We find that it undergoes phase transition in three dimensions, although not in one or two dimensions. We also find that its isotherms and transition curve, shown in Figure 9 are in qualitative agreement with experimental curves. However they exhibit a physically unreasonable negative pressure at very large and very small Specific volumes. This can be traced to an inadequacy of the model for such specific volumes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Gary D. Doolen Publisher: MIT Press ISBN: 9780262540636 Category : Mathematics Languages : en Pages : 356
Book Description
This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.
Author: Daniel Charles Mattis Publisher: World Scientific ISBN: 9810214766 Category : Science Languages : en Pages : 992
Book Description
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.
Author: Michael C. Sukop Publisher: Springer Science & Business Media ISBN: 3540279822 Category : Science Languages : en Pages : 178
Book Description
Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.
Author: Dieter A. Wolf-Gladrow Publisher: Springer ISBN: 3540465863 Category : Mathematics Languages : en Pages : 320
Book Description
Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Author: Robert G. Mortimer Publisher: Academic Press ISBN: 0080878598 Category : Technology & Engineering Languages : en Pages : 1415
Book Description
In this third edition, core applications have been added along with more recent developments in the theories of chemical reaction kinetics and molecular quantum mechanics, as well as in the experimental study of extremely rapid chemical reactions.* Fully revised concise edition covering recent developments in the field* Supports student learning with step by step explanation of fundamental principles, an appropriate level of math rigor, and pedagogical tools to aid comprehension* Encourages readers to apply theory in practical situations
Author: Annick LESNE Publisher: Springer Science & Business Media ISBN: 364215123X Category : Science Languages : en Pages : 406
Book Description
During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.
Author: M. Baus Publisher: Springer Science & Business Media ISBN: 3540746315 Category : Science Languages : en Pages : 362
Book Description
This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.
Author: Walter Pressman
Author: Walter Pressman
Author: United States. National Bureau of Standards
Author: Gary D. Doolen
Author: Daniel Charles Mattis
Author: Gary D. Doolen
Author: Michael C. Sukop
Author: Dieter A. Wolf-Gladrow
Author: Robert G. Mortimer
Author: Annick LESNE
Author: M. Baus