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THE SECOND LAW OF THERMODYNAMICS AND THE GLOBAL CLIMATE SYSTEM: A REVIEW OF THE MAXIMUM ENTROPY PRODUCTION PRINCIPLE
"... [1] The longterm mean properties of the global climate system and those of turbulent fluid systems are reviewed from a thermodynamic viewpoint. Two general expressions are derived for a rate of entropy production due to thermal and viscous dissipation (turbulent dissipation) in a fluid system. It i ..."
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[1] The longterm mean properties of the global climate system and those of turbulent fluid systems are reviewed from a thermodynamic viewpoint. Two general expressions are derived for a rate of entropy production due to thermal and viscous dissipation (turbulent dissipation) in a fluid system. It is shown with these expressions that maximum entropy production in the Earthʼs climate system suggested by Paltridge, as well as maximum transport properties of heat or momentum in a turbulent system suggested by Malkus and Busse, correspond to a state in which the rate of entropy production due to the turbulent dissipation is at a maximum. Entropy production due to absorption of solar radiation in the climate system is found to be irrelevant to the maximized properties associated with turbulence. The hypothesis of maximum entropy production also seems to be applicable to the planetary atmospheres of Mars and Titan and perhaps to mantle convection. Lorenzʼs conjecture on maximum generation of available potential energy is shown to be akin to this hypothesis with a few minor approximations. A possible mechanism by which turbulent fluid systems adjust themselves to the states of maximum entropy production is presented as a selffeedback mechanism for the generation of available potential energy. These results tend to support the hypothesis of maximum entropy production that underlies a wide variety of nonlinear fluid systems, including our planet as well as other planets and stars. INDEX TERMS: 3220
NonBoolean Descriptions for MindMatter Problems
"... A framework for the mindmatter problem in a holistic universe which has no parts is outlined. The conceptual structure of modern quantum theory suggests to use complementary Boolean descriptions as elements for a more comprehensive nonBoolean description of a world without an apriorigiven mindmat ..."
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A framework for the mindmatter problem in a holistic universe which has no parts is outlined. The conceptual structure of modern quantum theory suggests to use complementary Boolean descriptions as elements for a more comprehensive nonBoolean description of a world without an apriorigiven mindmatter distinction. Such a description in terms of a locally Boolean but globally nonBoolean structure makes allowance for the fact that Boolean descriptions play a privileged role in science. If we accept the insight that there are no ultimate building blocks, the existence of holistic correlations between contextually chosen parts is a natural consequence. The main problem of a genuinely nonBoolean description is to find an appropriate partition of the universe of discourse. If we adopt the idea that all fundamental laws of physics are invariant under time translations, then we can consider a partition of the world into a tenseless and a tensed domain. In the sense of a regulative principle, the material domain is defined as the tenseless domain with its homogeneous time. The tensed domain contains the mental domain with a tensed time characterized by a privileged position, the Now. Since this partition refers to two complementary descriptions which are not given apriori,wehavetoexpectcorrelations between these two domains. In physics it corresponds to Newton’s separation of universal laws of nature and contingent initial conditions. Both descriptions have a nonBoolean structure and can be encompassed into a single nonBoolean description. Tensed and tenseless time can be synchronized by holistic correlations. 1.
MICROSCOPIC IRREVERSIBILITY
, 2003
"... First, I will recount the substance of several important conversations I had with Ilya Prigogine over the years. There is no doubt in my mind that Professor Prigogine firmly believed in the underlying stochasticity of the universe. Second, I will summarize my curiosity about the principle of detaile ..."
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First, I will recount the substance of several important conversations I had with Ilya Prigogine over the years. There is no doubt in my mind that Professor Prigogine firmly believed in the underlying stochasticity of the universe. Second, I will summarize my curiosity about the principle of detailed balance. In my opinion, so far it has always been put in by hand. Third, I will advance my own theory of microscopic irreversibility, that is, irreversibility at the quantum level. This involves new concepts of probability preference and probability violation. A manifestation of this irreversibility may be seen during emission of boundfree photons during fieldmatter interactions. Entropy increase is tied to radiation increase, and the notion of heat bath becomes light bath. 1. Ilya Prigogine Professor Ilya Prigogine, Nobel Laureat 1977 (Chemistry), was one of the great visionaries of our time. I have written a personal remembrance elsewhere [19] and I do not want to repeat myself here. In this section, it is my intent to recount selected key conversations and discussions I had with him, especially as they pertain to certain longstanding fundamental issues in physics. My association, and indeed, eventual friendship with Professor Prigogine began from a mathematical clarification we [9, 21, 22] provided him concerning irreversibility of dynamical systems. As a result of this, Professor Prigogine came to Boulder to visit us
Quantum Geometry and Quantum Mechanics of Integrable Systems
, 908
"... Quantum integrable systems and their classical counterparts are considered. We show that the symplectic structure and invariant tori of the classical system can be deformed by a quantization parameter � to produce a new (classical) integrable system. The new tori selected by the �equidistance rule ..."
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Quantum integrable systems and their classical counterparts are considered. We show that the symplectic structure and invariant tori of the classical system can be deformed by a quantization parameter � to produce a new (classical) integrable system. The new tori selected by the �equidistance rule represent the spectrum of the quantum system up to O( � ∞ ) and are invariant under quantum dynamics in the longtime range O( � − ∞). The quantum diffusion over the deformed tori is described. The analytic apparatus uses quantum actionangle coordinates explicitly constructed by an �deformation of the classical actionangles. 1
Local Casimir energy for solitons
, 2008
"... Direct calculation of the oneloop contributions to the energy density of bosonic and supersymmetric φ 4 kinks exhibits: (1) Local mode regularization. Requiring the mode density in the kink and the trivial sectors to be equal at each point in space yields the anomalous part of the energy density. ( ..."
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Direct calculation of the oneloop contributions to the energy density of bosonic and supersymmetric φ 4 kinks exhibits: (1) Local mode regularization. Requiring the mode density in the kink and the trivial sectors to be equal at each point in space yields the anomalous part of the energy density. (2) Phase space factorization. A striking positionmomentum factorization for reflectionless potentials gives the nonanomalous energy density a simple relation to that for the bound state. For the supersymmetric kink, our expression for the energy density (both the anomalous and nonanomalous parts) agrees with the published central charge density, whose anomalous part we also compute directly by pointsplitting regularization. Finally we show that, for a scalar field with arbitrary scalar background potential in one space dimension, pointsplitting regularization implies local mode regularization of the Casimir energy density.
Quantum Mechanics in Terms of Realism
, 1996
"... We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. The ψ function is no l ..."
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We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. The ψ function is no longer interpreted as a probability amplitude of the observed behavior of an elementary particle but as an objective physical field representing the particle itself. The particles are thus extended objects whose extension varies in time according to the variation of ψ. They are considered as fundamental regions of space with no internal structure. This implies some kind of nonlocality. Symmetrization of the configuration space wave function is interpreted as a mathematical description of a physical process, which also leads to nonlocal effects. Special consideration
On Expansion of a Spherical Enclosure Bathed in ZeroPoint Radiation
, 2004
"... Abstract: In the present contribution a simple thought experiment made with an idealized spherical enclosure bathed in zeropoint (ZP) electromagnetic radiation and having walls made of a material with an upper frequency cutoff has been qualitatively analysed. As a result, a possible mechanism of f ..."
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Abstract: In the present contribution a simple thought experiment made with an idealized spherical enclosure bathed in zeropoint (ZP) electromagnetic radiation and having walls made of a material with an upper frequency cutoff has been qualitatively analysed. As a result, a possible mechanism of filling real cavities with ZP radiation based on Doppler’s effect has been suggested and corresponding entropy changes have been discussed.
On the verge of Umdeutung in Minnesota: . . . Part Two
, 2006
"... This is the second installment of a twopart paper on developments in quantum dispersion theory leading up to Heisenberg’s Umdeutung paper. In telling this story, we have taken a paper by John H. Van Vleck (1924b,c) as our main guide. In this second part we present the detailed derivations on which ..."
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This is the second installment of a twopart paper on developments in quantum dispersion theory leading up to Heisenberg’s Umdeutung paper. In telling this story, we have taken a paper by John H. Van Vleck (1924b,c) as our main guide. In this second part we present the detailed derivations on which our narrative in the first part rests. The central result that we shall derive is the Kramers dispersion formula, which played a key role in the thinking that led to Heisenberg’s Umdeutung paper. Closely following Van Vleck’s preUmdeutung approach, we derive classical and construct quantum formulae for the dispersion, emission, and absorption of radiation both for the special case of a charged harmonic oscillator (sec. 5) and for arbitrary nondegenerate multiplyperiodic systems (sec. 6). In sec. 7, we rederive the same results using modern quantum mechanics. In sec. 8 we bring together the main conclusions of our study.
КОНДЕНСОВАНИХ
"... Препринти Iнституту фiзики конденсованих систем НАН України розповсюджуються серед наукових та iнформацiйних установ. Вони також доступнi по електроннiй комп’ютернiй мережi на WWWсерверi iнституту за адресою ..."
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Препринти Iнституту фiзики конденсованих систем НАН України розповсюджуються серед наукових та iнформацiйних установ. Вони також доступнi по електроннiй комп’ютернiй мережi на WWWсерверi iнституту за адресою