This monograph provides an introduction to field-theoretic simulations in classical soft matter and Bose quantum fluids. The method represents a new class of molecular computer simulation in which continuous fields, rather than particle coordinates, are sampled and evolved.

Bibliographische Detailangaben

Hauptverfasser:	Fredrickson, Glenn H. (VerfasserIn), Delaney, Kris T. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Oxford Oxford University Press [2023]
Schriftenreihe:	International series of monographs on physics 173
Schlagworte:	Quantenfeldtheorie Simulation Weiche Materie Flüssigkeit
Zusammenfassung:	This monograph provides an introduction to field-theoretic simulations in classical soft matter and Bose quantum fluids. The method represents a new class of molecular computer simulation in which continuous fields, rather than particle coordinates, are sampled and evolved. Intro -- cover -- Titlepage -- copyright -- preface -- Acknowledgements -- contents -- Introduction -- Mathematical preliminaries -- Functional notation -- Functional calculus -- Gaussian integrals -- Delta functions and functionals -- Phenomenological field theories -- Molecularly-informed field theories -- Auxiliary field representation -- Coherent states representation -- Continuous polymer chains -- Bosonic quantum field theory -- Classical Equilibrium Theory: Particles to Fields -- Classical monatomic fluids -- Density-explicit, auxiliary field representation -- Auxiliary field representation -- Auxiliary fields: potentials and smearing -- Auxiliary fields: multiple components -- Electrostatic interactions -- Polymers and soft matter -- Linear homopolymer melts and solutions -- Coherent states representation -- Continuous polymer chains -- Other chain architectures -- Multicomponent polymers and soft matter -- Charged polymers -- Quantum Equilibrium Theory: Particles to Fields -- Particle representation and Feynman path integrals -- Imposition of Bose symmetry -- Path integral Monte Carlo -- Coherent states field theory representation -- Second quantization -- Coherent states -- Coherent states path integral -- Field operators -- Other ensembles and external potentials -- Canonical ensemble -- External potentials and artificial gauge fields -- Quantum lattice models -- Quantum spin models -- Numerical Methods for Field Operations -- Cells and boundary conditions -- Pseudo-spectral methods -- Periodic boundary conditions -- Non-periodic boundary conditions -- Modified diffusion equation -- Higher spatial dimensions -- Discrete chain models -- Parallel computing and GPUs -- Hardware trends -- Software implementation -- Numerical Methods for Field-Theoretic Simulations -- Mean-field solutions -- Root-finding versus optimization.
Beschreibung:	xiv, 384 Seiten Illustrationen, Diagramme
ISBN:	9780192847485