Diffusion : Formalism and Applications /: Formalism and Applications. ([2014])

• Record Type: Book
• Further Information: Note: Sushanta Dattagupta.
• Other Names: Dattagupta, S (Sushanta), 1947-
• Contents: CLASSICAL DIFFUSION; Introduction to Brownian Motion ; Introductory Remarks; Fourier Equation; Random Walk; Random Walk on Lattice and Its Continuum Limit; Einstein on Brownian Motion; Concluding Remarks Markov Processes ; Genesis of Markov Concept; Definition; Stationary Markov Process Gaussian Processes ; Introduction; Gaussian Stochastic Processes; Stationary GaussMarkov Process Langevin Equations ; Introduction; Free Particle in Momentum Space; Free Particle in Position Space; Harmonic Oscillator; Diffusive Cyclotron Motion Fokker–Planck Equation ; Introduction; FP Equation in Velocity; FP Equation in Position: Stochastic Diffusion; FP Equation in Force Field: Kramers Equation; FP Equation in Force Field in High Friction Limit: Smoluchowski Equation; FP Equation for Damped Harmonic Oscillator; FP Equation for Cyclotron Motion; Diffusion across Barrier Jump Diffusion ; Introduction; Operator Notation; Two-State Jump and Telegraph Processes; Multi-State Jump Process; KuboAnderson Process; Interpolation Model; Kangaroo Process Random Walk and Anomalous Diffusion ; Introduction to Continuous Time Random Walk (CTRW); Non-Markovian Diffusion in CTRW Scheme Spectroscopic Structure Factor ; Introductory Remarks; Cyclotron Motion in Weak Collision and BoltzmannLorentz Models; Neutron Scattering From a Damped Harmonic Oscillator; Restricted Diffusion over Discrete Sites; Unbounded Jump Diffusion in Empty Lattice; Vacancy-Assisted Correlated Diffusion in Solids Rotational Diffusion of Molecules ; Introduction; Extended Diffusion Models; M Diffusion Model; J Diffusion Model; Interpolation Model; Applications to Infrared and Raman Rotational Spectroscopy Order Parameter Diffusion ; CahnHilliard Equation; Pattern Formation; Jump Diffusion in Ising Model Relation with CH Equation; ReactionDiffusion Models and Spatiotemporal Patterns Diffusion of Rapidly Driven System ; Introduction; Langevin Equation in Over-Damped Case; Langevin Equation for Arbitrary Damping; Effective Diffusion in Periodic Potential QUANTUM DIFFUSION; Quantum Langevin Equations ; Introduction; Derivation of Classical Langevin Equation; Quantum Generalization; Free Particle; Diffusive Quantum Cyclotron Motion; Diffusive Landau Diamagnetism Path Integral Treatment of Quantum Diffusion ; Introduction; Basic Model; Ohmic Dissipation and Classical Limit; Master Equation in High Temperature Limit; Application to Dissipative Diamagnetism Quantum Continuous Time Random Walk Model ; Introduction; Formulation; Applications; Finite Temperature Effects Quantum Jump Models ; Introduction; Formalism; Polaronic Transformation; Qubit; Neutron Structure Factor for H Diffusion in Metals; Spin Relaxation of Muon Diffusion in Metals Quantum Diffusion: Decoherence and Localization ; Introductory Comments; Landau-to-Bohrvan Leeuwen Transition of Diamagnetism; Harmonic Oscillator in Quantum Diffusive Regime; Decoherence in Spin Boson Model; Dissipation-less Decoherence; Retrieving Quantum Information Despite Decoherence; Localization of Electronic States in Disordered Systems References appear at the end of each chapter.
• Publisher Details: Boca Raton : CCRC Press
• Publication Date: 2014
• Extent: 1 online resource
• Subjects: 530.4/15; Diffusion; Diffusion; Electronic books
• Languages: English
• ISBNs: 9781439895580; 1439895589; 9781306085731; 9781439895573; 1439895570
• Related ISBNs: 130608573X
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from digital title page (viewed on Feb. 3, 2014).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.