Field-Theoretic Simulations in Soft Matter and Quantum Fluids

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: International Series of Monographs on Physics Ser ; v.173Publisher: Oxford : Oxford University Press, Incorporated, 2023Description: 1 Online-Ressource (399 p)Additional physical formats: 9780192663238 | 0192663232 | 9780192847485 | Erscheint auch als: Field-Theoretic Simulations in Soft Matter and Quantum Fluids. Druck-Ausgabe Oxford : Oxford University Press, Incorporated,c2023DDC classification:
  • 530.413
Online resources: Summary: 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 representationSummary: 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 representationSummary: 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 implementationSummary: Numerical Methods for Field-Theoretic Simulations -- Mean-field solutions -- Root-finding versus optimization -- Auxiliary field polymer models -- Coherent state polymer models -- Coherent state boson models -- Including fluctuations: field-theoretic simulations -- Models without a sign problem -- Complex Langevin theory -- Algorithms for AF polymer models -- Algorithms for CS polymer models -- Algorithms for CS boson models -- Methodology, error analysis, and troubleshooting -- Mean-field solutions -- Field-theoretic simulations -- Troubleshooting -- Non-equilibrium ExtensionsSummary: Quantum fluids and magnets -- Non-equilibrium quantum field theory and Keldysh contours -- Coherent states representation of the generating functional -- Non-equilibrium field operators -- Numerical methods -- Classical polymers and soft matter -- Phenomenological methods with a molecular basis -- Hybrid methods: Single chain in a mean-field -- Advanced Simulation Methods -- Alternative ensembles -- Isothermal-isobaric ensemble for classical polymers -- Gibbs ensemble for classical polymers -- Microcanonical ensemble for Bose fluid -- Variable cell shape methods -- Isothermal-isotension ensembleSummary: 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 evolvedPPN: PPN: 1882634357Package identifier: Produktsigel: ZDB-4-NLEBK | BSZ-4-NLEBK-KAUB
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