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Books on the topic 'Simplex lattice'

Author: Grafiati
Published: 5 June 2025
Last updated: 15 July 2025

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1

S, Zaleski, ed. Lattice-gas cellular automata: Simple models of complex hydrodynamics. Cambridge University Press, 1997.

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2

Wako, Hiroshi. Folding/unfolding kinetics of lattice proteins by applying a simple statistical mechanical model for protein folding. Nova Biomedical, 2011.

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3

Wako, Hiroshi. Folding/unfolding kinetics of lattice proteins by applying a simple statistical mechanical model for protein folding. Nova Biomedical, 2011.

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4

Chekhov, Leonid. Two-dimensional quantum gravity. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.30.

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This article discusses the connection between large N matrix models and critical phenomena on lattices with fluctuating geometry, with particular emphasis on the solvable models of 2D lattice quantum gravity and how they are related to matrix models. It first provides an overview of the continuum world sheet theory and the Liouville gravity before deriving the Knizhnik-Polyakov-Zamolodchikov scaling relation. It then describes the simplest model of 2D gravity and the corresponding matrix model, along with the vertex/height integrable models on planar graphs and their mapping to matrix models. It also considers the discretization of the path integral over metrics, the solution of pure lattice gravity using the one-matrix model, the construction of the Ising model coupled to 2D gravity discretized on planar graphs, the O(n) loop model, the six-vertex model, the q-state Potts model, and solid-on-solid and ADE matrix models.
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5

Succi, Sauro. Lattice Gas-Cellular Automata. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0011.

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This chapter discusses the ancestor of the Lattice Boltzmann, the Boolean formulation of hydrodynamics known as lattice Gas Cellular Automata. In 1986, Uriel Frisch, Brosl Hasslacher and Yves Pomeau sent big waves across the fluid dynamics community: a simple cellular automaton obeying nothing but conservation laws at a microscopic level was able to reproduce the complexity of real fluid flows. This discovery spurred great excitement in the fluid dynamics community. The prospects were tantalizing: around free, intrinsically parallel computational paradigm for fluid flows. However, a few serious problems were quickly recognized and addressed with great intensity in the following years.
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6

Zaleski, Stiphane, and Daniel H. Rothman. Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics. Cambridge University Press, 2011.

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7

Zaleski, Stiphane, and Daniel H. Rothman. Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics. Cambridge University Press, 2009.

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8

Succi, Sauro. Lattice Boltzmann Models for Microflows. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0029.

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The Lattice Boltzmann method was originally devised as a computational alternative for the simulation of macroscopic flows, as described by the Navier–Stokes equations of continuum mechanics. In many respects, this still is the main place where it belongs today. Yet, in the past decade, LB has made proof of a largely unanticipated versatility across a broad spectrum of scales, from fully developed turbulence, to microfluidics, all the way down to nanoscale flows. Even though no systematic analogue of the Chapman–Enskog asymptotics is available in this beyond-hydro region (no guarantee), the fact remains that, with due extensions of the basic scheme, the LB has proven capable of providing several valuable insights into the physics of flows at micro- and nano-scales. This does not mean that LBE can solve the actual Boltzmann equation or replace Molecular Dynamics, but simply that it can provide useful insights into some flow problems which cannot be described within the realm of the Navier–Stokes equations of continuum mechanics. This Chapter provides a cursory view of this fast-growing front of modern LB research.
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9

Succi, Sauro. Lattice Boltzmann Models with Underlying Boolean Microdynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0012.

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This chapter takes a walk into the Jurassics of LBE, namely the earliest Lattice Boltzmann model that grew up out in response to the main drawbacks of the underlying LGCA. The earliest LBE was first proposed by G. McNamara and G. Zanetti in 1988, with the explicit intent of sidestepping the statistical noise problem plaguing its LGCA ancestor. The basic idea is simple: just replace the Boolean occupation Numbers with the corresponding ensemble-averaged population. The change in perspective is exactly the same as in Continuum Kinetic Theory (CKT); instead of tracking single Boolean molecules, one contents himself with the time history of a collective population representing a “cloud” of microscopic degrees of freedom.
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10

Zaleski, Stiphane, and Daniel H. Rothman. Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics (Collection Alea-Saclay: Monographs and Texts in Statistical Physics). Cambridge University Press, 2004.

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11

Glazov, M. M. Electron Spin Decoherence by Nuclei. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0007.

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The discussion of the electron spin decoherence and relaxation phenomena via the hyperfine interaction with host lattice spins is presented here. The spin relaxation processes processes limit the conservation time of spin states as well as the response time of the spin system to external perturbations. The central spin model, where the spin of charge carrier interacts with the bath of nuclear spins, is formulated. We also present different methods to calculate the spin dynamics within this model. Simple but physically transparent semiclassical treatment where the nuclear spins are considered as largely static classical magnetic moments is followed by more advanced quantum mechanical approach where the feedback of electron spin dynamics on the nuclei is taken into account. The chapter concludes with an overview of experimental data and its comparison with model calculations.
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12

Strains upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Boqstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Creative Media Partners, LLC, 2018.

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13

Strains upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Boqstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Creative Media Partners, LLC, 2022.

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14

Strains upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Boqstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Creative Media Partners, LLC, 2022.

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15

Cargill, Thomas. The Strains Upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Boqstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Franklin Classics Trade Press, 2018.

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16

Cargill, Thomas. The Strains Upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Boqstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Franklin Classics, 2018.

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17

The Strains Upon Bridge Girders and Roof Trusses: Including the Warren, Lattice, Trellis, Bowstring, and Other Forms of Girders, the Curved Roof, and Simple and Compound Trusses. Nabu Press, 2010.

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18

Cantor, Brian. The Equations of Materials. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851875.001.0001.

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This book describes some of the important equations of materials and the scientists who derived them. It is aimed at anyone interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It is meant to be readable and enjoyable, a primer rather than a textbook, covering only a limited number of topics and not trying to be comprehensive. It is pitched at the level of a final year school student or a first year undergraduate who has been studying the physical sciences and is thinking of specialising into materials science and/or materials engineering, but it should also appeal to many other scientists at other stages of their career. It requires a working knowledge of school maths, mainly algebra and simple calculus, but nothing more complex. It is dedicated to a number of propositions, as follows: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject. Each chapter is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. The topics included are: Bravais lattices and crystals; Bragg’s law and diffraction; the Gibbs phase rule and phases; Boltzmann’s equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick’s laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke’s law and elasticity; the Burgers vector and plasticity; Griffith’s equation and fracture; and the Fermi level and electrical properties.
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19

Morawetz, Klaus. Interacting Systems far from Equilibrium. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.001.0001.

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In quantum statistics based on many-body Green’s functions, the effective medium is represented by the selfenergy. This book aims to discuss the selfenergy from this point of view. The knowledge of the exact selfenergy is equivalent to the knowledge of the exact correlation function from which one can evaluate any single-particle observable. Complete interpretations of the selfenergy are as rich as the properties of the many-body systems. It will be shown that classical features are helpful to understand the selfenergy, but in many cases we have to include additional aspects describing the internal dynamics of the interaction. The inductive presentation introduces the concept of Ludwig Boltzmann to describe correlations by the scattering of many particles from elementary principles up to refined approximations of many-body quantum systems. The ultimate goal is to contribute to the understanding of the time-dependent formation of correlations. Within this book an up-to-date most simple formalism of nonequilibrium Green’s functions is presented to cover different applications ranging from solid state physics (impurity scattering, semiconductor, superconductivity, Bose–Einstein condensation, spin-orbit coupled systems), plasma physics (screening, transport in magnetic fields), cold atoms in optical lattices up to nuclear reactions (heavy-ion collisions). Both possibilities are provided, to learn the quantum kinetic theory in terms of Green’s functions from the basics using experiences with phenomena, and experienced researchers can find a framework to develop and to apply the quantum many-body theory straight to versatile phenomena.
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20

Kanne, Jewel. Hot and Cold Coffee Beverage Recipes : Simple Step-By-Step of Making Coffee Drinks at Home, Frappuccino, Macchiato, Latte and More: Caramel Iced Coffee Recipe. Independently Published, 2021.

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21

Organized Collapse: An Introduction to Discrete Morse Theory. American Mathematical Society, 2020.

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22

Organized Collapse: An Introduction to Discrete Morse Theory. American Mathematical Society, 2021.

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