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Thermodynamics and Statistical Mechanics of Small Systems

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ISBN: 9783038970576 9783038970583 Year: Pages: 334 DOI: 10.3390/books978-3-03897-058-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General)
Added to DOAB on : 2018-09-25 10:51:00
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A challenging frontier in modern statistical physics concerns systems with a small number of degrees of freedom, far from the thermodynamic limit. Beyond the general interest in the foundation of statistical mechanics, the relevance of this subject is due to the recent increase of resolution in the observation and manipulation of biological and man-made objects at micro- and nano-scales. A peculiar feature of small systems is the role played by fluctuations, which cannot be neglected and are responsible for many non-trivial behaviors. The study of fluctuations of thermodynamic quantities, such as energy or entropy, goes back to Einstein, Onsager, and Kubo; more recently, interest in this matter has grown with the establishment of new fluctuation–dissipation relations, and of so-called stochastic thermodynamics. This turning point has received a strong impulse from the study of systems that are far from the thermodynamic equilibrium, due to very long relaxation times, as in disordered systems, or due to the presence of external forcing and dissipation, as in granular or active matter. Applications of the thermodynamic and statistical mechanics of small systems range from molecular biology to micro-mechanics, including models of nano-transport, Brownian motors, and (living or artificial) self-propelled organisms.

Differential Geometrical Theory of Statistics

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ISBN: 9783038424253 9783038424246 Year: Pages: XIV, 458 DOI: 10.3390/books978-3-03842-425-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General)
Added to DOAB on : 2017-06-12 12:20:37
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This Special Issue "Differential Geometrical Theory of Statistics" collates selected invited and contributed talks presented during the conference GSI'15 on "Geometric Science of Information" which was held at the Ecole Polytechnique, Paris-Saclay Campus, France, in October 2015 (Conference web site: http://www.see.asso.fr/gsi2015).

Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century

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ISBN: 9783038977469 Year: Pages: 260 DOI: 10.3390/books978-3-03897-747-6 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-04-05 11:17:10
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For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

Molecular Magnets

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ISBN: 9783038977100 Year: Pages: 166 DOI: 10.3390/books978-3-03897-711-7 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Chemistry (General)
Added to DOAB on : 2019-03-21 14:08:22
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Molecular magnets show many properties not met in conventional metallic magnetic materials, i.e. low density, transparency to electromagnetic radiation, sensitivity to external stimuli such as light, pressure, temperature, chemical modification or magnetic/electric fields, and others. They can serve as “functional” materials in sensors of different types or be applied in high-density magnetic storage or nanoscale devices. Research into molecule-based materials became more intense at the end of the 20th century and is now an important branch of modern science. The articles in this Special Issue, written by physicists and chemists, reflect the current work on molecular magnets being carried out in several research centers. Theoretical papers in the issue concern the influence of spin anisotropy in the low dimensional lattice of the resulting type of magnet, as well as thermodynamics and magnetic excitations in spin trimers. The impact of external pressure on structural and magnetic properties and its underlying mechanisms is described using the example of Prussian blue analogue data. The other functionality discussed is the magnetocaloric effect, investigated in coordination polymers and high spin clusters. In this issue, new molecular magnets are presented: (i) ferromagnetic high-spin [Mn6] single-molecule magnets, (ii) solvatomagnetic compounds changing their structure and magnetism dependent on water content, and (iii) a family of purely organic magnetic materials. Finally, an advanced calorimetric study of anisotropy in magnetic molecular superconductors is reviewed.

Emergent Quantum Mechanics. David Bohm Centennial Perspectives

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ISBN: 9783038976165 Year: Pages: 544 DOI: 10.3390/books978-3-03897-617-2 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Science (General)
Added to DOAB on : 2019-04-05 10:34:31
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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

quantum foundations --- nonlocality --- retrocausality --- Bell’s theorem --- Bohmian mechanics --- quantum theory --- surrealistic trajectories --- Bell inequality --- quantum mechanics --- generalized Lagrangian paths --- covariant quantum gravity --- emergent space-time --- Gaussian-like solutions --- entropy and time evolution --- resonances in quantum systems --- the Friedrichs model --- complex entropy. --- Bell’s theorem --- the causal arrow of time --- retrocausality --- superdeterminism --- toy-models --- quantum ontology --- sub-quantum dynamics --- micro-constituents --- emergent space-time --- emergent quantum gravity --- entropic gravity --- black hole thermodynamics --- Stern-Gerlach --- trajectories --- spin --- Bell theorem --- fractal geometry --- p-adic metric --- singular limit --- gravity --- conspiracy --- free will --- number theory --- quantum potential --- Feynman paths --- weak values --- Bohm theory --- no-hidden-variables theorems --- observables --- measurement problem --- Bohmian mechanics --- primitive ontology --- Retrocausation --- weak values --- Stochastic Electrodynamics --- quantum mechanics --- decoherence --- interpretations --- pilot-wave theory --- Bohmian mechanics --- Born rule statistics --- measurement problem --- quantum thermodynamics --- strong coupling --- operator thermodynamic functions --- quantum theory --- de Broglie–Bohm theory --- contextuality --- atom-surface scattering --- bohmian mechanics --- matter-wave optics --- diffraction --- vortical dynamics --- Schrödinger equation --- de Broglie–Bohm theory --- nonequilibrium thermodynamics --- zero-point field --- de Broglie–Bohm interpretation of quantum mechanics --- pilot wave --- interior-boundary condition --- ultraviolet divergence --- quantum field theory --- Aharonov–Bohm effect --- physical ontology --- nomology --- interpretation --- gauge freedom --- Canonical Presentation --- relational space --- relational interpretation of quantum mechanics --- measurement problem --- non-locality --- discrete calculus --- iterant --- commutator --- diffusion constant --- Levi-Civita connection --- curvature tensor --- constraints --- Kilmister equation --- Bianchi identity --- stochastic differential equations --- Monte Carlo simulations --- Burgers equation --- Langevin equation --- fractional velocity --- interpretations of quantum mechanics --- David Bohm --- mind–body problem --- quantum holism --- fundamental irreversibility --- space-time fluctuations --- spontaneous state reduction --- Poincaré recurrence --- symplectic camel --- quantum mechanics --- Hamiltonian --- molecule interference --- matter-waves --- metrology --- magnetic deflectometry --- photochemistry --- past of the photon --- Mach–Zehnder interferometer --- Dove prism --- photon trajectory --- weak measurement --- transition probability amplitude --- atomic metastable states --- Bell’s theorem --- Bohmian mechanics --- nonlocality --- many interacting worlds --- wavefunction nodes --- bouncing oil droplets --- stochastic quantum dynamics --- de Broglie–Bohm theory --- quantum non-equilibrium --- H-theorem --- ergodicity --- ontological quantum mechanics --- objective non-signaling constraint --- quantum inaccessibility --- epistemic agent --- emergent quantum state --- self-referential dynamics --- dynamical chaos --- computational irreducibility --- undecidable dynamics --- Turing incomputability --- quantum ontology --- nonlocality --- time-symmetry --- retrocausality --- quantum causality --- conscious agent --- emergent quantum mechanics --- Bohmian mechanics --- de Broglie-Bohm theory

Quantum Probability and Randomness

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ISBN: 9783038977148 9783038977155 Year: Pages: 276 DOI: 10.3390/books978-3-03897-715-5 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-04-25 16:37:17
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The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Keywords

quantum logic --- groups --- partially defined algebras --- quasigroups --- viable cultures --- quantum information theory --- bit commitment --- protocol --- entropy --- entanglement --- orthogonality --- quantum computation --- Gram–Schmidt process --- quantum probability --- potentiality --- complementarity --- uncertainty relations --- Copenhagen interpretation --- indefiniteness --- indeterminism --- causation --- randomness --- quantum information --- quantum dynamics --- entanglement --- algebra --- causality --- geometry --- probability --- quantum information theory --- realism --- reality --- entropy --- correlations --- qubits --- probability representation --- Bayes’ formula --- quantum entanglement --- three-qubit random states --- entanglement classes --- entanglement polytope --- anisotropic invariants --- quantum random number --- vacuum state --- maximization of quantum conditional min-entropy --- quantum logics --- quantum probability --- holistic semantics --- epistemic operations --- Bell inequalities --- algorithmic complexity --- Borel normality --- Bayesian inference --- model selection --- random numbers --- quantum-like models --- operational approach --- information interpretation of quantum theory --- social laser --- social energy --- quantum information field --- social atom --- Bose–Einstein statistics --- bandwagon effect --- social thermodynamics --- resonator of social laser --- master equation for socio-information excitations --- quantum contextuality --- Kochen–Specker sets --- MMP hypergraphs --- Greechie diagrams --- quantum foundations --- probability --- irreducible randomness --- random number generators --- quantum technology --- entanglement --- quantum-like models for social stochasticity --- contextuality

Intermittency and Self-Organisation in Turbulence and Statistical Mechanics

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ISBN: 9783039211081 / 9783039211098 Year: Pages: 298 DOI: 10.3390/books978-3-03921-109-8 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-08-28 11:21:27
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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.

Contemporary Natural Philosophy and Philosophies - Part 1

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ISBN: 9783038978220 / 9783038978237 Year: Pages: 350 DOI: 10.3390/books978-3-03897-823-7 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Philosophy
Added to DOAB on : 2019-06-26 08:44:06
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Modern information communication technology eradicates barriers of geographic distances, making the world globally interdependent, but this spatial globalization has not eliminated cultural fragmentation. The Two Cultures of C.P. Snow (that of science–technology and that of humanities) are drifting apart even faster than before, and they themselves crumble into increasingly specialized domains. Disintegrated knowledge has become subservient to the competition in technological and economic race leading in the direction chosen not by the reason, intellect, and shared value-based judgement, but rather by the whims of autocratic leaders or fashion controlled by marketers for the purposes of political or economic dominance. If we want to restore the authority of our best available knowledge and democratic values in guiding humanity, first we have to reintegrate scattered domains of human knowledge and values and offer an evolving and diverse vision of common reality unified by sound methodology. This collection of articles responds to the call from the journal Philosophies to build a new, networked world of knowledge with domain specialists from different disciplines interacting and connecting with other knowledge-and-values-producing and knowledge-and-values-consuming communities in an inclusive, extended, contemporary natural–philosophic manner. In this process of synthesis, scientific and philosophical investigations enrich each other—with sciences informing philosophies about the best current knowledge of the world, both natural and human-made—while philosophies scrutinize the ontological, epistemological, and methodological foundations of sciences, providing scientists with questions and conceptual analyses. This is all directed at extending and deepening our existing comprehension of the world, including ourselves, both as humans and as societies, and humankind.

Keywords

n/a --- compositional hierarchy --- development --- dissipative structures --- final cause --- internalism --- Second Law of thermodynamics --- subsumptive hierarchy --- agonism --- apophasis --- autocatalysis --- centripetality --- contingency --- endogenous selection --- heterogeneity --- indeterminacy --- process --- mathematics --- physics --- philosophical foundations --- natural philosophy --- the logic of nature --- ontology --- epistemology --- in the name of nature --- philosophy of information --- natural philosophy --- metaphysics --- physics --- problem of induction --- physicalism --- theoretical unity --- philosophy of science --- scientific method --- scientific progress --- pessimistic induction --- awareness --- cognition --- computation --- cybernetics --- differentiation --- fitness --- holographic encoding --- memory --- perception --- quantum information --- signal transduction --- spatial representation --- thermodynamics --- unitarity --- Leibniz --- monad --- internal quantum state --- relational biology --- reflexive psychology --- self --- induction --- naturalism --- evidence and justification --- epistemic norms --- induction and concept formation --- induction and discovery of laws --- natural philosophy --- R.M. Unger --- L. Smolin --- Aristotle --- F.W.J. Schelling --- Naturphilosophie --- A.N. Whitehead --- Ivor Leclerc --- dialectics --- discourse --- discursive space --- information --- knowledge --- humanistic management --- language --- natural philosophy --- subjective experience --- process --- dual aspects --- consciousness --- information-theory --- theoretical biology --- 1st-person and 3rd-person perspectives --- hylomorphism --- mind --- form --- matter --- neurodynamics --- natural philosophy --- philosophy of science --- Jungian psychology --- depth psychology --- analytical psychology --- phenomenological psychology --- evolutionary psychology --- active imagination --- Aristotle’s four causes --- aesthetics in science --- philosophy as a way of life --- common good --- contradiction --- ethics --- information --- logic --- naturalization --- realism --- science --- synthesis --- natural philosophy --- philosophy of nature --- naturalism --- unity of knowledge --- qualitative ontology --- intentionality --- dispositions --- qualia --- abduction --- agent-based reasoning --- creativity --- eco-cognitive model --- eco-cognitive openness --- fallacies --- errors of reasoning --- third-way reasoning --- naturalization of logic --- causality --- embodiment --- measurement --- regulation --- retrocausality --- second-person description --- symmetry breaking --- temporality --- natural philosophy --- cosmology --- emptiness --- vacuum --- void --- dark energy --- space flight --- exoplanet --- big freeze --- big crunch --- everyday lifeworld --- digitization --- computability --- complexity --- reverse mathematics --- quantum computing --- real computing --- theory of everything --- acategoriality --- state-space approach --- mental representation --- dual-aspect monism --- exceptional experiences --- intentionality --- mind-matter relations --- category theory --- memory evolutive system --- emergence --- emergentist reductionism --- anticipation --- creativity --- info-computational model

Amide Bond Activation

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ISBN: 9783039212033 / 9783039212040 Year: Pages: 466 DOI: 10.3390/books978-3-03921-204-0 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Chemistry (General)
Added to DOAB on : 2019-08-28 11:21:27
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The amide bond represents a privileged motif in chemistry. The recent years have witnessed an explosion of interest in the development of new chemical transformations of amides. These developments cover an impressive range of catalytic N–C bond activation in electrophilic, Lewis acid, radical, and nucleophilic reaction pathways, among other transformations. Equally relevant are structural and theoretical studies that provide the basis for chemoselective manipulation of amidic resonance. This monograph on amide bonds offers a broad survey of recent advances in activation of amides and addresses various approaches in the field.

Keywords

fumardiamide --- primaquine --- succindiamide --- Michael acceptor --- biofilm eradication --- antibacterial screening --- antiviral activity --- cytostatic activity --- N,N-dimethylformamide --- DMF --- N,N-dimethylacetamide --- DMAc --- amination --- amidation --- thioamidation --- formylation --- carbonylation --- cyanation --- insertion --- cyclization --- amide --- arynes --- insertion --- activation --- heterocycles --- organic synthesis --- multi-component coupling reaction --- aryl thioamides --- thiourea --- C-H/C-N activation --- C-S formation --- transition-metal-free --- rotational barrier energy --- amide bond --- nuclear magnetic resonance --- kinetic --- density functional theory --- non planar amide --- base-catalyed hydrolysis --- water solvation --- entropy --- transamidation --- amide --- amine --- catalyst --- catalysis --- acylative cross-coupling --- trialkylborane --- amide activation --- palladium --- N-heterocyclic carbene --- ruthenium (Ru) --- N-heterocyclic carbenes (NHCs) --- homogeneous catalysis --- in situ --- amide bonds --- synthesis --- density functional theory --- cis/trans isomerization --- secondary amides --- dipeptides --- steric effects --- tert-butyl --- additivity principle --- amino acid transporters --- amide bond --- gemcitabine prodrug --- metabolic stability --- pancreatic cancer cells --- pharmacokinetics --- peptide bond cleavage --- amide bond resonance --- twisted amides --- enzymes --- metal complexes --- catalysts --- amide C–N bond activation --- nickel catalysis --- amidation --- DFT study --- reaction thermodynamics --- amide resonance --- anomeric effect --- HERON reaction --- pyramidal amides --- physical organic chemistry --- reaction mechanism --- amide --- activation --- amidicity --- carbonylicity --- transamidation --- acyl transfer --- excited state --- Suzuki-Miyaura --- cross-coupling --- aryl esters --- C–O activation --- Pd-catalysis --- amides --- carbanions --- C–H acidity --- nitro-aci tautomerism --- molecular dynamics --- density-functional theory --- alkynes --- C–H bond cleavage --- C–N bond cleavage --- cyclopentadienyl complexes --- N-(1-naphthyl)acetamide --- rhodium --- [2+2+2] annulation --- amide bond --- sulfonamide bond --- alkynes --- addition reaction --- aminoacylation --- aminosulfonylation --- pre-catalysts --- palladium catalysis --- amide bond activation --- ester bond activation --- cross-coupling --- amide bond --- bridged lactams --- twisted amides --- amides --- Winkler-Dunitz parameters --- N–C activation --- hypersensitivity --- nitrogen heterocycles --- distortion --- bridged sultams --- amides --- C-N ? bond cleavage --- sodium --- crown ether --- amide hydrolysis --- model compound --- intramolecular catalysis --- twisted amide --- protease --- intein --- C-H functionalization --- directing groups --- amides --- transition metals --- catalysis

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