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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Contributions to mineralogy and petrology 44 (1974), S. 195-218 
    ISSN: 1432-0967
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Garnetiferous basic granulites occur, as parts of hornblende-pyroxene- and pyroxene granulites, in a Precambrian terrain around Saltora. The chemistry of the garnetiferous basic granulites is broadly similar to that of the hornblende-pyroxene granulites, their immediate precursors, but in detail they have distinctly higher Fe/Mg ratios. The compositions of the major mafic silicates of the garnetiferous varieties do not reflect higher pressures of formation: the Jd/Ts ratios in calcic pyroxenes are similar to those from the non-garnetiferous varieties, and the pyrope contents of garnets are low. Exchange equilibrium in respect of major elements was established among the mafic silicates in spite of garnets being late overprints. The orthopyroxene — calcic pyroxene pairs from the garnetiferous granulites show lower values of K D(Mg-Fe) opx-cpx than those from the non-garnetiferous granulites, pointing to lower temperature of equilibration. The K D(Mg-Fe) opx-hbl K D(Mg-Fe) cpx-hbl relations show that the more magnesian triads equilibrated at lower temperatures; viewed against experimental data regarding the effect of Mg/Fe ratios on the appearance of garnets in basic rocks, formation of garnets by cooling is strongly indicated. Several intergrowth textures, especially garnet-ilmenite and garnet-quartz (±albite) symplectites, and modal relations argue in favour of composite reactions of the type hornblende+ quartz-→calcic pyroxene+garnet+albite+H2O, which couple hornblende breakdown reactions with orthopyroxene+anorthite→garnet reactions. The approximate range of pressure and temperature conditions, estimated from experimental data, are 6–8.5 kb and 750–830° C. Since garnets formed by cooling in iron-rich granulites, the garnetiferous granulites do not represent higher pressure subfacies of the granulite facies.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 61 (1985), S. 205-208 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We here study directed self-avoiding walks on site diluted square lattice at the percolation threshold by two parameter real space renormalization group method. We found $$v_\parallel ^{p_c } = 1.00$$ and $$v_ \bot ^{p_c } = 0.4348$$ from cell-to-cell transformation method. This $$v_ \bot ^{p_c } $$ value is then compared with the modified Alexander-Orbach formula that $$v_ \bot ^{p_c } = {{d_S } \mathord{\left/ {\vphantom {{d_S } {2d_L }}} \right. \kern-\nulldelimiterspace} {2d_L }}$$ whered s is the fracton dimension andd L is the spreading dimension of the infinite directed percolation cluster.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 74 (1989), S. 389-393 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Random walk on a self-avoiding walk with superconducting local bridges is studied by Real Space renormalization group technique. We enumerate SAWs in two dimensions for a square lattice by using corner rule and equal averaging method. For a SAW network with superconducting bridges we estimate the exponents for end to end resistance and linear part as 0.8625 and 0.81907 respectively. We also obtain the shortest path exponent τ=0.9782 by equal averaging technique.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 64 (1991), S. 525-539 
    ISSN: 1572-9613
    Keywords: Fractals ; multifractals ; Apollonian packing ; space-filling bearings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the structure of space-filling bearings (SFB) and Apollonian packings (AP) by determining the scaling behavior of the density distribution of points where the circles touch each other. Application of the sand box method to the average of theqth power of the number of touching points reveals the multifractal aspects of the structure of SFB and AP.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 61 (1990), S. 923-932 
    ISSN: 1572-9613
    Keywords: Self-organized criticality ; conservation ; fluctuations ; universality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We generalize the model of self-organized critical systems to cases where due to some internal degrees of freedom the local conservation law is violated. This can be realized by taking a transfer ratio different from the critical one in a sand pile model (global violation) or allowing fluctuations around the critical ratio (local violation). In the first case the deviation from the critical ratioR is a critical parameter and the characteristic avalanche size diverges as |R|−ψ . In the second case the global conservation assures criticality; however, our numerical results indicate that the model is in a new universality class.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 66 (1992), S. 1155-1163 
    ISSN: 1572-9613
    Keywords: Ising model ; Kawasaki dynamics ; surface tension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present results of a stochastic simulation which determines the shape of a liquid drop, subject to gravity, on a wall. The system is modeled using an Ising model in a field gradient, with Kawasaki dynamics governing the time dependence. We can locate a phase transition between a hanging and a sliding phase with high precision and determine its critical exponents.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 59 (1990), S. 509-521 
    ISSN: 1572-9613
    Keywords: Self-organized criticality ; BTW model ; avalanche cluster distribution ; multispin coding method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The avalanche cluster distribution of the sand pile model of self-organized criticality is studied on the square lattice. A vectorized multispin coding algorithm is developed for this study with three bits per site. The exponents characterizing the size and the lifetime of the avalanches are slightly different from the previous estimates.
    Type of Medium: Electronic Resource
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