We study the probability distribution of residence time, T , of the sand grains in the one dimensional abelian sandpile model on a lattice of L sites, for T << L and T >> L. The distribution function decays as exp(−L L2 ). We numerically calculate the coefficient KL for the value of L upto 150 . Interestingly the distribution function has a scaling form 1 La f( T Lb ) with a 6= b for large L. K...

Channel holding time is of primary importance in teletraffic analysis of PCS networks. This quantity depends on user’s mobility which can be characterized by the cell residence time. In this paper we show that when the cell residence time is not exponentially distributed, the channel holding time is not exponentially distributed either, a fact also confirmed by available field data. In order to...

[1] Estimates of mean residence time (MRT) are increasingly used as simple summary descriptors of the hydrological processes involving storage and mixing of water within catchment systems. Current understanding of the physical controls on MRT remains limited, and various hypotheses have been proposed to explain its variability between catchments. We present a series of virtual experiments to in...

Evaluating biochars for their persistence in soil under field conditions is an important step towards their implementation for carbon sequestration. Current evaluations might be biased because the vast majority of studies are short-term laboratory incubations of biochars produced in laboratory-scale pyrolyzers. Here our objective was to investigate the stability of a biochar produced with a med...

Pyrogenic carbon (PyC) is an important component of the global soil carbon (C) pool, but its fate, persistence, and loss dynamics in contrasting soils and environments under planted field conditions are poorly understood. To fill this knowledge gap, a 13C-labelled biochar, as a surrogate material for PyC, produced from Eucalyptus saligna by slow pyrolysis (450°C; δ13C -36.7‰) was surface (0-10 ...

We present an analytic model for the performance evaluation of hierarchical cellular systems, which can provide multiple routes for calls through overflow from one cell layer to another. Our model allows the case where both the call time and the cell residence time are generally distributed. Based on the characterization of the call time by a hyper-Erlang distribution, the Laplace transform of ...

Heat transfer coefficients in a continuous oscillatory baffled crystallizer (COBC) with nominal internal diameter of 15 mm have been determined as function flow and conditions typically used under processing conditions. Residence time distribution measurements show near-plug high Peclet numbers on the order 100–1000 s, although there was significant oscillation damping longer COBC setups. Very ...