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Plastic anisotropy is a common property of many metallic materials. This property affects the analysis and design of structures and metal forming processes. The present edited collection of papers concerns analytic and numerical methods of structural and metal forming analysis and design using material models for anisotropic materials. Some qualitative features of rigid plastic solutions in anisotropic plasticity are investigated. Both rate-independent and rate-dependent constitutive equations are considered. The effect of plastic anisotropy on the distribution of residual stresses and strains is shown. Some papers deal with thermo-mechanical problems.
fractional viscoplasticity --- rate dependence --- plastic anisotropy --- non-normality --- directional viscosity --- explicit/implicit non-locality. --- hydro-mechanical deep drawing (HDD) --- mechanical property --- type of cooling --- microstructure --- rotating disk --- plane stress --- residual stresses and strains --- flow theory of plasticity --- semi-analytic solution --- anisotropic columnar jointed rock --- numerical model --- centroidal Voronoi diagram --- coefficient of variation --- polar orthotropy --- Hill’s yield criterion --- friction regimes --- singularity --- residual stress --- residual strain --- open-ended cylinder --- autofrettage --- orthotropic plasticity --- temperature-dependent material properties --- composite cylinder --- finite element analysis
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This book presents the current views of leading physicists on the bizarre property of quantum theory: nonlocality. Einstein viewed this theory as “spooky action at a distance” which, together with randomness, resulted in him being unable to accept quantum theory. The contributions in the book describe, in detail, the bizarre aspects of nonlocality, such as Einstein–Podolsky–Rosen steering and quantum teleportation—a phenomenon which cannot be explained in the framework of classical physics, due its foundations in quantum entanglement. The contributions describe the role of nonlocality in the rapidly developing field of quantum information. Nonlocal quantum effects in various systems, from solid-state quantum devices to organic molecules in proteins, are discussed. The most surprising papers in this book challenge the concept of the nonlocality of Nature, and look for possible modifications, extensions, and new formulations—from retrocausality to novel types of multiple-world theories. These attempts have not yet been fully successful, but they provide hope for modifying quantum theory according to Einstein’s vision.
Stern–Gerlach experiment --- channel entropy --- non-locality --- nonsignaling --- retro-causal channel --- communication complexity --- controlled-NOT --- Bell test --- quantum measurement --- quantum mechanics --- quantum transport --- semiconductor nanodevices --- optimization --- quantum correlation --- PR Box --- non-linear Schrödinger model --- retrocausality --- entanglement --- device-independent --- Einstein–Podolsky–Rosen argument --- quantum nonlocality --- parallel lives --- PR box --- nonlocal correlations --- hypothesis testing --- quantum bounds --- channel capacity --- Wigner-function simulations --- quantum correlations --- quantum --- pre- and post-selected systems --- local hidden variables --- density-matrix formalism --- collapse of the quantum state --- local polytope --- quantum teleportation of unknown qubit --- parity measurements --- uncertainty relations --- nonlocality --- hybrid entanglement --- selectivity filter --- p-value --- steering --- axioms for quantum theory --- no-signalling --- ion channels --- KS Box --- EPR steering --- local realism --- Non-contextuality inequality --- entropic uncertainty relation --- continuous-variable states --- nonlocal dissipation models --- Bell’s theorem --- tsallis entropy --- classical limit --- general entropies --- pigeonhole principle --- biological quantum decoherence --- discrete-variable states
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There is overwhelming evidence, from laboratory experiments, observations, and computational studies, that coherent structures can cause intermittent transport, dramatically enhancing transport. A proper description of this intermittent phenomenon, however, is extremely difficult, requiring a new non-perturbative theory, such as statistical description. Furthermore, multi-scale interactions are responsible for inevitably complex dynamics in strongly non-equilibrium systems, a proper understanding of which remains a main challenge in classical physics. As a remarkable consequence of multi-scale interaction, a quasi-equilibrium state (the so-called self-organisation) can however be maintained. This special issue aims to present different theories of statistical mechanics to understand this challenging multiscale problem in turbulence. The 14 contributions to this Special issue focus on the various aspects of intermittency, coherent structures, self-organisation, bifurcation and nonlocality. Given the ubiquity of turbulence, the contributions cover a broad range of systems covering laboratory fluids (channel flow, the Von Kármán flow), plasmas (magnetic fusion), laser cavity, wind turbine, air flow around a high-speed train, solar wind and industrial application.
non-locality --- hybrid (U)RANS-LES --- channel flow --- thermodynamics --- Lévy noise --- non-local theory --- low speed streaks --- drop breakage --- pipe flow boundary layer --- bifurcation --- Langevin equation --- attached and separated flows --- anomalous diffusion --- kinetic theory --- stochastic processes --- self-organisation --- spatiotemporal chaos --- chaos --- bifurcations --- turbulent flow --- Lyapunov theory --- Rushton turbine --- turbulence --- intermittency --- information length --- denoise --- microcavity laser --- free vortex wake --- IDDES methodology --- local intermittency --- control strategy --- population balance equation --- Tsallis entropy --- coherent structures --- Fokker-Planck equation --- energy cascade --- fluid dynamics --- high efficiency impeller --- fractals --- large eddy simulation --- shear flows --- heat transport --- multifractal --- drop coalescence --- continuous wavelet transform --- T-junction --- scaling properties --- floating wind turbine --- scaling --- fractional Fokker–Plank equation --- magnetic confinement fusion --- multi-scale problem --- coherent structure --- solar wind --- trailing-edge flap --- turbulent transition --- turbulent boundary layer --- complex dynamics --- statistical mechanics
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This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
mathematical economics --- economic theory --- fractional calculus --- fractional dynamics --- long memory --- non-locality --- fractional generalization --- econometric modelling --- identification --- Phillips curve --- Mittag-Leffler function --- generalized fractional derivatives --- growth equation --- Mittag–Leffler function --- Caputo fractional derivative --- economic growth model --- least squares method --- fractional diffusion equation --- fundamental solution --- option pricing --- risk sensitivities --- portfolio hedging --- business cycle model --- stability --- time delay --- time-fractional-order --- Hopf bifurcation --- Einstein’s evolution equation --- Kolmogorov–Feller equation --- diffusion equation --- self-affine stochastic fields --- random market hypothesis --- efficient market hypothesis --- fractal market hypothesis --- financial time series analysis --- evolutionary computing --- modelling --- economic growth --- prediction --- Group of Twenty --- pseudo-phase space --- economy --- system modeling --- deep assessment --- least squares --- modeling --- GDP per capita --- LSTM --- econophysics --- continuous-time random walk (CTRW) --- Mittag–Leffler functions --- Laplace transform --- Fourier transform --- n/a --- Einstein's evolution equation --- Kolmogorov-Feller equation --- Mittag-Leffler functions
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Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in ""deeper-level"" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.
non-locality --- ultraviolet divergence --- constraints --- Kilmister equation --- bohmian mechanics --- epistemic agent --- Bohmian mechanics --- relational space --- Feynman paths --- Langevin equation --- quantum causality --- emergent quantum gravity --- quantum ontology --- interpretations --- emergent quantum state --- undecidable dynamics --- molecule interference --- emergent quantum mechanics --- no-hidden-variables theorems --- mind–body problem --- physical ontology --- quantum foundations --- matter-wave optics --- conscious agent --- diffusion constant --- Bell theorem --- Burgers equation --- objective non-signaling constraint --- self-referential dynamics --- Bell inequality --- interpretation --- photochemistry --- Born rule statistics --- sub-quantum dynamics --- dynamical chaos --- weak measurement --- p-adic metric --- Levi-Civita connection --- David Bohm --- H-theorem --- the causal arrow of time --- strong coupling --- vortical dynamics --- fundamental irreversibility --- magnetic deflectometry --- quantum thermodynamics --- de Broglie–Bohm interpretation of quantum mechanics --- wavefunction nodes --- stochastic quantum dynamics --- entropic gravity --- metrology --- Schrödinger equation --- gauge freedom --- Monte Carlo simulations --- micro-constituents --- nonequilibrium thermodynamics --- Bell’s theorem --- emergent space-time --- spin --- quantum field theory --- time-symmetry --- Gaussian-like solutions --- Hamiltonian --- number theory --- fractional velocity --- ergodicity --- fractal geometry --- atomic metastable states --- operator thermodynamic functions --- Canonical Presentation --- Retrocausation --- interpretations of quantum mechanics --- Bohm theory --- quantum mechanics --- zero-point field --- conspiracy --- pilot wave --- quantum holism --- toy-models --- curvature tensor --- Aharonov–Bohm effect --- computational irreducibility --- Stochastic Electrodynamics --- diffraction --- retrocausality --- resonances in quantum systems --- stochastic differential equations --- Bianchi identity --- past of the photon --- commutator --- relational interpretation of quantum mechanics --- free will --- nomology --- trajectories --- primitive ontology --- Mach–Zehnder interferometer --- weak values --- singular limit --- interior-boundary condition --- Poincaré recurrence --- quantum inaccessibility --- symplectic camel --- surrealistic trajectories --- observables --- Stern-Gerlach --- decoherence --- quantum non-equilibrium --- generalized Lagrangian paths --- superdeterminism --- black hole thermodynamics --- nonlocality --- measurement problem --- entropy and time evolution --- bouncing oil droplets --- spontaneous state reduction --- quantum theory --- many interacting worlds --- complex entropy. --- Turing incomputability --- iterant --- space-time fluctuations --- quantum potential --- ontological quantum mechanics --- photon trajectory --- Dove prism --- the Friedrichs model --- contextuality --- discrete calculus --- transition probability amplitude --- gravity --- pilot-wave theory --- matter-waves --- de Broglie-Bohm theory --- covariant quantum gravity --- atom-surface scattering --- de Broglie–Bohm theory
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