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  • 1
    Electronic Resource
    Electronic Resource
    A short, economical, and stereoselective route to prostaglandins by vicinal alkylation of cyclopentadiene (1981)
    s.l. : American Chemical Society
    Journal of the American Chemical Society 103 (1981), S. 4616-4618 
    Details
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/ja00405a070
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  • 2
    Electronic Resource
    Electronic Resource
    Ergodic properties of a system in contact with a heat bath: A one dimensional model (1982)
    Springer
    Communications in mathematical physics 85 (1982), S. 419-427 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We consider a one-dimensional model of a system in contact with a heat bath: A particle (the system ormolecule) of massM, confined to the unit interval [0, 1], is surrounded by an infinite ideal gas (thebath of atoms) of point particles of massm with which it interacts via elastic collisions. The atoms are not affected by the walls at 0 and at 1. We obtain “convergence to equilibrium” for the molecule, from essentially any initial distribution on its position and velocity. The infinite composite system of molecule and bath has very good ergodic properties: it is a Bernoulli system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01208722
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  • 3
    Electronic Resource
    Electronic Resource
    Examination of Chili Pepper and Nutmeg Oleoresins Using the Salmonella/Mammalian Microsome Mutagenicity Assay (1982)
    Oxford, UK : Blackwell Publishing Ltd
    Journal of food science 47 (1982), S. 0 
    Details
    ISSN: 1750-3841
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Past investigations have suggested that various arylalkene spice compounds warrant further study as possible naturally occurring mutagens and/or carcinogens. The present study carried out a detailed examination of nutmeg oleoresin, myristicin, chili pepper oleoresin, capsaicin, and vanillylamine for in vitro mutagenicity using the Salmonella/mammalian microsome mutagenicity assay. None of the materials tested displayed significant mutagenicity over a wide range of concentrations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-2621.1982.tb11094.x
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  • 4
    Electronic Resource
    Electronic Resource
    Nd and Sr isotopic relationships in pelagic clays and ferromanganese deposits (1981)
    [s.l.] : Nature Publishing Group
    Nature 292 (1981), S. 324-327 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Ferromanganese sediments are broadly divisible into hydrogenous and hydrothermal deposits1. Hydrogenous deposits are considered to form by slow (0.1-1.0 mm Myr'1) precipitation of Fe and Mn (refs 2-4) and include ferromanganese pavements on marine topographic highs, and concretions on abyssal ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/292324a0
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  • 5
    Electronic Resource
    Electronic Resource
    Nd and Sr isotopic study of a mafic layer from Ronda ultramafic complex (1983)
    [s.l.] : Nature Publishing Group
    Nature 304 (1983), S. 226-230 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Detailed isotopic and trace element analyses of a garnet clinopyroxenite layer from the Ronda ultramafic complex demonstrate the difficulty in obtaining primary mantle information from orogenic lherzolites. However, isotope systematics suggest that mafic layers at Ronda were formed 22±2 Myr ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/304226a0
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  • 6
    Electronic Resource
    Electronic Resource
    A mechanical model of Brownian motion (1981)
    Springer
    Communications in mathematical physics 78 (1981), S. 507-530 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We consider a dynamical system consisting of one large massive particle and an infinite number of light point particles. We prove that the motion of the massive particle is, in a suitable limit, described by the Ornstein-Uhlenbeck process. This extends to three dimensions previous results by Holley in one dimension.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02046762
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  • 7
    Electronic Resource
    Electronic Resource
    A mechanical model for the Brownian motion of a convex body (1983)
    Springer
    Probability theory and related fields 62 (1983), S. 427-448 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Under suitable conditions the motion of a massive (Brownian) particle in a fluid is well described by a Langevin equation, i.e. an Ornstein-Uhlenbeck process in which the influence of the fluid on the motion is taken into account by frictional and fluctuating forces. A mechanical model for such a description was previously given for the translational motion of a sphere in an ideal gas in the “Brownian limit”. Here that description is extended to include also the rotational motion of a massive convex body. The only probabilistic assumptions concern the initial distribution of the gas; the time evolution of the convex body-ideal gas system is entirely deterministic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00534196
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  • 8
    Electronic Resource
    Electronic Resource
    On intrinsic randomness of dynamical systems (1981)
    Springer
    Journal of statistical physics 25 (1981), S. 111-126 
    Details
    ISSN: 1572-9613
    Keywords: Dynamical systems ; Markov processes ; K flows ; H theorem ; time operator ; irreversibility ; instability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We discuss the problem of nonunitary equivalence, via positivity-preserving similarity transformations, between the unitary groups associated with deterministic dynamical evolution and semigroups associated with stochastic processes. Dynamical systems admitting such nonunitary equivalence with stochastic Markov processes are said to beintrinsically random. In a previous work, it was found that the so-called Bernoulli systems (discrete time) are intrinsically random in this sense. This result is extended here by showing that a more general class of dynamical systems—the so-calledK systems andK flows—are intrinsically random. The connection of intrinsic randomness with local instability of motion is briefly discussed. We also show that Markov processes associated through nonunitary equivalence tononisomorphic K flows are necessarily non-isomorphic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01008481
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  • 9
    Electronic Resource
    Electronic Resource
    Invariant states of a thermally conducting barrier (1984)
    Springer
    Journal of statistical physics 34 (1984), S. 263-277 
    Details
    ISSN: 1572-9613
    Keywords: Invariant states ; thermally conducting barrier
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For an infinite one-dimensional system representing a thermally conducting barrier and two semi-infinite reservoirs which it separates, we prove the existence of a unique stationary probability distribution, to which essentially any initial distribution converges for large times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01770358
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  • 10
    Electronic Resource
    Electronic Resource
    A nonequilibrium entropy for dynamical systems (1981)
    Springer
    Journal of statistical physics 24 (1981), S. 325-343 
    Details
    ISSN: 1572-9613
    Keywords: Entropy ; dynamical system ; K-system ; H-theorem ; irreversibility
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is proposed to define entropy for nonequilibrium ensembles using a method of coarse graining which partitions phase space into sets which typically have zero measure. These are chosen by considering the totality of future possibilities for observation on the system. It is shown that this entropy is necessarily a nondecreasing function of the timet. There is no contradiction with the reversibility of the laws of motion because this method of coarse graining is asymmetric under time reversal. Under suitable conditions (which are stated explicitly) this entropy approaches the equilibrium entropy ast→+∞ and the fine-grained entropy ast→−∞. In particular, the conditions can always be satisfied if the system is aK-system, as in the Sinai billiard models. Some theorems are given which give information about whether it is possible to generate the partition used here for coarse graining from time translates of a finite partition, and at the same time elucidate the connection between our concept of entropy and the entropy invariant of Kolmogorov and Sinai.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01013304
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