Multiplier phenomenology in random multiplicative cascade processes

We demonstrate that the correlations observed in conditioned multiplier distributions of the energy dissipation in fully developed turbulence can be understood as an unavoidable artefact of the observation procedure. Taking the latter into account, all reported properties of both unconditioned and conditioned multiplier distributions can be reproduced by cascade models with uncorrelated random weights if their bivariate splitting function is non-energy conserving. For the alpha-model we show that the simulated multiplier distributions converge to a limiting form, which is very close to the experimentally observed one. If random translations of the observation window are accounted for, also the subtle effects found in conditioned multiplier distributions are precisely reproduced.Comment: 4 pages, 3 figure

Separation of strangeness from antistrangeness in the phase transition from quark to hadron matter: Possible formation of strange quark matter in heavy-ion collisions

We present a mechanism for the separation of strangeness from antistrangeness in the deconfinement transition. For a net strangeness of zero in the total system, the population of s quarks is greatly enriched in the quark-gluon plasma, while the s¯ quarks drift into the hadronic phase. This separation could result in ‘‘strangelet’’ formation, i.e., metastable blobs of strange-quark matter, which could serve as a unique signature for quark-gluon plasma formation in heavy-ion collisions. PACS: 25.70.Np, 12.38.M

Analytic multivariate generating function for random multiplicative cascade processes

We have found an analytic expression for the multivariate generating function governing all n-point statistics of random multiplicative cascade processes. The variable appropriate for this generating function is the logarithm of the energy density, ln epsilon, rather than epsilon itself. All cumulant statistics become sums over derivatives of ``branching generating functions'' which are Laplace transforms of the splitting functions and completely determine the cascade process. We show that the branching generating function is a generalization of the multifractal mass exponents. Two simple models from fully developed turbulence illustrate the new formalism.Comment: REVTeX, 4 pages, 2 PostScript figs, submitted to PR

The Robertson-Walker Metric in a Pseudo-Complex General Relativity

We investigate the consequences of the pseudo-complex General Relativity within a pseudo-complexified Roberston-Walker metric. A contribution to the energy-momentum tensor arises, which corresponds to a dark energy and may change with the radius of the universe, i.e., time. Only when the Hubble function $H$ does not change in time, the solution is consistent with a constant $\Lambda$.Comment: 31 pages, 2 figure

The Dynamic Interplay of Inequality and Trust - An Experimental Study

We study the interplay of inequality and trust in a dynamic game, where trust increases efficiency and thus allows higher growth of the experimental economy in the future. We find that trust is initially high in a treatment starting with equal endowments, but decreases over time. In a treatment with unequal endowments, trust is initially lower yet remains relatively stable. The difference seems partly due to the fact that equal start positions increase subjects' inclination to condition their trust decisions on wealth comparisons, whereas conditional trust is much less prevalent with unequal initial endowments. As a result, with respect to efficiency, the initially more unequal economy fares worse in the short run but better in the long run, and the disparity of wealth distributions across economies mitigates over time.inequality, trust, growth, laboratory experiments

The Dynamic Interplay of Inequality and Trust - An Experimental Study

We study the interplay of inequality and trust in a dynamic game, where trust increases efficiency and thus allows higher growth of the experimental economy in the future. We find that trust is initially high in a treatment starting with equal endowments, but decreases over time. In a treatment with unequal endowments, trust is initially lower yet remains relatively stable. The difference seems partly due to the fact that equal start positions increase subjects’ inclination to condition their trust decisions on wealth comparisons, whereas conditional trust is much less prevalent with unequal initial endowments. As a result, with respect to efficiency, the initially more unequal economy fares worse in the short run but better in the long run, and the disparity of wealth distributions across economies mitigates over time.inequality, trust, growth, laboratory experiments