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Singularities of Solutions to Chemotaxis Systems
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ISBN: 3110598620 3110599538 Year: 2019 Publisher: Berlin ; Boston : De Gruyter,

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The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived.


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Measurements, mechanisms, and models of heat transport
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ISBN: 0128099828 012809981X 9780128099827 9780128099810 Year: 2019 Publisher: Amsterdam, Netherlands : Elsevier,

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Measurements, Mechanisms, and Models of Heat Transport offers an interdisciplinary approach to the dynamic response of matter to energy input. Using a combination of fundamental principles of physics, recent developments in measuring time-dependent heat conduction, and analytical mathematics, this timely reference summarizes the relative advantages of currently used methods, and remediates flaws in modern models and their historical precursors. Geophysicists, physical chemists, and engineers will find the book to be a valuable resource for its discussions of radiative transfer models and the kinetic theory of gas, amended to account for atomic collisions being inelastic. This book is a prelude to a companion volume on the thermal state, formation, and evolution of planets. Covering both microscopic and mesoscopic phenomena of heat transport, Measurements, Mechanisms, and Models of Heat Transport offers both the fundamental knowledge and up-to-date measurements and models to encourage further improvements.--


Book
Fractional Differential Equations: Theory, Methods and Applications
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ISBN: 303921733X 3039217321 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.


Book
Emergent Quantum Mechanics. David Bohm Centennial Perspectives
Authors: --- --- ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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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.

Keywords

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


Book
Emergent Quantum Mechanics. David Bohm Centennial Perspectives
Authors: --- --- ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

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.

Keywords

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


Book
Emergent Quantum Mechanics. David Bohm Centennial Perspectives
Authors: --- --- ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

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.

Keywords

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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