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  • Articles  (39)
  • sedimentology  (21)
  • statistical mechanics  (18)
  • Springer  (39)
  • American Geophysical Union
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  • 2000-2004  (7)
  • 1970-1974  (32)
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  • Geosciences  (21)
  • Physics  (18)
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  • Articles  (39)
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  • Springer  (39)
  • American Geophysical Union
  • De Gruyter
  • Emerald
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical physics, analysis and geometry 3 (2000), S. 101-115 
    ISSN: 1572-9656
    Keywords: statistical mechanics ; Hubbard model ; periodic ground state configurations ; symbolic dynamics ; phenomenon of even two-colouring ; averaging procedure ; devil's staircase ; completeness
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract This paper considers an averaging procedure for the description of a particles arrangement in a Hubbard model with antiferromagnetic interactions. The arrangements are described by the devil's staircase. Completeness of the staircase is proved.
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  • 2
    ISSN: 1573-0417
    Keywords: saline lakes ; stable isotope ; sedimentology ; mineralogy ; paleohydrology ; Altiplano ; Holocene ; Little Ice Age
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geosciences
    Notes: Abstract The paleohydrological evolution of several high altitude, saline lakes located in the southernmost Altiplano (El Peinado and San Francisco basins, Catamarca province, NW Argentina) was reconstructed applying sedimentological, geochemical and isotopic techniques. Several playa lakes from the San Francisco basin (26° 56′ S; 68° 08′ W, 3800-3900 m a.s.l.) show evidence of a recent raise in the watertable that led to modern deposition of carbonate and diatomaceous muds. A 2 m - long core from El Peinado Lake (26° 29′ 59′′ S, 68°05′ 32′′ W, 3820 m a.s.l.) consists of calcitic crusts (unit 3), overlaid by an alternation of macrophyte-rich and travertine clast- rich, laminated muds (unit 2), and topped by travertine facies (unit 1). This sedimentary sequence illustrates a paleohydrological evolution from a subaerial exposure (unit 3) to a high lake stand (unit 2), and a subsequent smaller decrease in lake level (unit 1). The δ13Corganic matterrecord also reflects the lake transgression between units 3 and 2. Although there is a general positive correlation between δ 18Ocarbonate and salinity proxies (Na, Li and B content), the large data dispersion indicates that other factors besides evaporation effects control chemical and isotopic composition of lakewater. Consequently, the oxygen isotopic composition cannot be interpreted exclusively as an indicator of salinity or evaporation ratio. The degassing of CO2 during groundwater discharge can explain the enriched δ13C values for primary carbonates precipitated. The carbon budget in these high altitude, saline lakes seems to be controlled by physical rather than biological processes.The Altiplano saline lakes contain records of environmental and climatic change, although accurate 14C dating of these lacustrine sediments is hindered by the scarcity of terrestrial organic material, and the large reservoir effects. Sedimentologic evidence, a 210Pb-based chronology, and a preliminary U/Th chronology indicate a very large reservoir effect in El Peinado, likely as a result of old groundwaters and large contributions of volcanic and geothermal 14C-free CO2 to the lake system. Alternative chronologies are needed to place these paleorecords in a reliable chronological framework. A period of increased water balance in the San Francisco basin ended at about 1660 ± 82 yr B.P. (calendar yr U/Th age), and would correlates with the humid phase between 3000 and 1800 yr B.P detected in other sites of the southern Altiplano. Both, 210Pb and preliminary U/Th dating favor a younger age for the paleohydrological changes in El Peinado. The arid period reflected by subaerial exposure and low lake levels in unit 3 would have ended with a large increase in effective moisture during the late 17th century. The increased lake level during deposition of unit 2 would represent the period between AD1650 - 1900, synchronous to the Little Ice Age. This chronological framework is coherent with other regional records that show an abrupt transition from more arid to more humid conditions in the early 17th century, and a change to modern conditions in the late 19th century. Although there are local differences, the Little Ice Age stands as a significant climatic event in the Andean Altiplano.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 100 (2000), S. 757-763 
    ISSN: 1572-9613
    Keywords: statistical mechanics ; nonequilibrium ; ensembles ; thermodynamic limit ; Gaussian thermostats
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent, as remarked by Gallavotti, Rondoni, and Cohen. But outside of equilibrium the fluctuations are uncontrolled and might break the equivalence. We show that equivalence is ensured if we consider an infinite system assumed to be ergodic under space translations.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 10 (1974), S. 175-177 
    ISSN: 1572-9613
    Keywords: Irreversibility ; thermodynamic limit ; statistical mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that the thermodynamic limit may be highly misleading when used in an attempt to resolve the paradoxes associated with the problem of irreversibility.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 2 (1970), S. 251-265 
    ISSN: 1572-9613
    Keywords: Brownian motion ; molecular diffusion ; Einstein's diffusion coefficient ; fluctuation-dissipation theorem ; equipartition theorem ; entropy ; statistical mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An analysis is made of the motion of a spherical Brownian particle whose surface can diffusely reflect the molecules of an equilibrium host gas. The analysis is based on Newton's second law and a limiting form of Markov's method. It is shown, both for specular and diffuse reflections, that equipartition of energy is a consequence of the dynamics and randomness of the motion. In addition, it is demonstrated that the diffusion coefficient can depend on the temperature of the particle. The entire analysis is restricted to the case for which the Knudsen number of the particle is large compared to unity.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 6 (1972), S. 133-155 
    ISSN: 1572-9613
    Keywords: Ferromagnet ; statistical mechanics ; equivalence of ensembles
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A constant-magnetization ensemble is introduced in order to study classical, anisotropic Heisenberg systems. Existence, uniform convergence, and convexity properties are proved for an appropriate thermodynamic potential. The thermodynamic equivalence of this ensemble with the more common canonical ensemble is also established. In a subsequent paper, this formulation is used to obtain an exact statistical mechanical solution of classical Heisenberg systems with long-range Kac interactions.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 9 (1973), S. 339-349 
    ISSN: 1572-9613
    Keywords: Information theory ; liquid state ; statistical mechanics ; thermodynamic properties
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Equilibrium properties of one-component liquids are obtainable—as suggested by Collins-from the coding procedure in terms of distances between neighboring molecules. The monatomic case is dealt with first, and consequences of some simplifying assumptions are explored. The connection between the probabilityψ(R) of an intermolecular distanceR and the usual pair distribution function is considered. The treatment is then generalized to the case of heterogeneous multiatomic molecules.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 98 (2000), S. 321-345 
    ISSN: 1572-9613
    Keywords: statistical mechanics ; variance reduction ; Monte Carlo algorithms ; Metropolis algorithm ; statistical estimators ; Ising model ; histogram methods ; transition probabilities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For Metropolis Monte Carlo simulations in statistical physics, efficient, easy- to-implement, and unbiased statistical estimators of thermodynamic properties are based on the transition dynamics. Using an Ising model example, we demonstrate (problem-specific) variance reductions compared to conventional histogram estimators. A proof of variance reduction in a microstate limit is presented.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 98 (2000), S. 513-535 
    ISSN: 1572-9613
    Keywords: statistical mechanics ; lattice models ; chiral Potts model ; free energy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The free energy of the chiral Potts model has been obtained in two ways. The first used only the star-triangle relation, symmetries, and invariances, and led to a system of equations that implicitly define the free energy, and from which the critical behavior can be obtained The second used the functional relations derived by Bazhanov and Stroganov, solving them to obtain the free energy explicitly as a double integral. Here we obtain, for the first time, a direct verification that the two results are identical at all temperatures.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 3 (1971), S. 227-238 
    ISSN: 1573-8868
    Keywords: classification ; data processing ; graphics ; mapping ; mathematics ; plotting ; sampling ; statistics ; sedimentology ; stratigraphy ; grain-size analysis ; textural analysis ; glacial geology ; Pleistocene stratigraphy ; till
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Relative percentages of sand, silt, and clay from samples of the same till unit are not identical because of different lithologies in the source areas, sorting in transport, random variation, and experimental error. Random variation and experimental error can be isolated from the other two as follows. For each particle-size class of each till unit, a standard population is determined by using a normally distributed, representative group of data. New measurements are compared with the standard population and, if they compare satisfactorily, the experimental error is not significant and random variation is within the expected range for the population. The outcome of the comparison depends on numerical criteria derived from a graphical method rather than on a more commonly used one-way analysis of variance with two treatments. If the number of samples and the standard deviation of the standard population are substituted in at-test equation, a family of hyperbolas is generated, each of which corresponds to a specific number of subsamples taken from each new sample. The axes of the graphs of the hyperbolas are the standard deviation of new measurements (horizontal axis) and the difference between the means of the new measurements and the standard population (vertical axis). The area between the two branches of each hyperbola corresponds to a satisfactory comparison between the new measurements and the standard population. Measurements from a new sample can be tested by plotting their standard deviation vs. difference in means on axes containing a hyperbola corresponding to the specific number of subsamples used. If the point lies between the branches of the hyperbola, the measurements are considered reliable. But if the point lies outside this region, the measurements are repeated. Because the critical segment of the hyperbola is approximately a straight line parallel to the horizontal axis, the test is simplified to a comparison between the means of the standard population and the means of the subsample. The minimum number of subsamples required to prove significant variation between samples caused by different lithologies in the source areas and sorting in transport can be determined directly from the graphical method. The minimum number of subsamples required is the maximum number to be run for economy of effort.
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