连续碎裂过程的能源效率
Energy efficiency of consecutive fragmentation processes
摘要：
我们提出了第一个研究所需的能量，以减少一个单位质量的碎片连续使用几个设备，因为它发生在采矿业。两个设备被认为是，我们表示为不同的随机碎裂过程。根据Bertoin和Martinez引入的自相似能量模型，我们计算了使用这种两个设备程序达到尺寸x所需的平均能量。然后，我们渐近比较，作为x去0或1，其能量需求与个人的碎裂过程。特别是，我们表明，对于碎裂过程及其能量成本函数的某些参数范围，连续使用两个设备可以比单独使用它们中的每一个渐进地更有效，或者相反。
英文摘要：
We present a first study on the energy required to reduce a unit mass fragment by consecutively using several devices, as it happens in the mining industry. Two devices are considered, which we represent as different stochastic fragmentation processes. Following the self-similar energy model introduced by Bertoin and Martinez, we compute the average energy required to attain a size x with this two-device procedure. We then asymptotically compare, as x goes to 0 or 1, its energy requirement with that of individual fragmentation processes. In particular, we show that for certain range of parameters of the fragmentation processes and of their energy cost-functions, the consecutive use of two devices can be asymptotically more efficient than using each of them separately, or conversely.
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