We propose a model for aggregation where particles are continuously growing by heterogeneous condensation in one dimension, and solve it exactly. We show that the particle size spectra exhibit a transition to dynamic scaling c(x,t) approximately t-beta phi(x/tz) . The exponents beta and z satisfy a generalized scaling relation beta=(1+q)z where the value of q is fixed by a nontrivial conservation law. We show that the value of 1+q is always less than the value 2 for aggregation without condensation.
We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability q. The free parameter q interpolates between the classical car parking problem of only one car size and the competitive random sequential adsorption (CRSA) of a binary mixture. We give an exact solution to the CRSA rate equations and find that the final coverage, the jamming limit of the line, is always larger for a binary mixture than for the unisized case. The analytical results are in good agreement with our direct numerical simulations of the problem.
Abstract:The main objectives of this socio-technical study are to investigate the Indian farmers' biomass production capacities and their perceptions and willingness to supply their surplus biomass to fuel an envisioned biomass-based power plant in three selected Indian states: Maharashtra, Madhya Pradesh and Tamil Nadu. For doing so, 471 farmers (about one-third from each state) have been interviewed in the field with info-sheet filled in by the field investigators. The farmers from all of the states appeared very much willing to sell their surplus biomass directly to a power plant. The farmers seem to depreciate the involvement of a middleman in the biomass procurement process. The farmers, however, appeared to highly appreciate a community-based association to regulate the biomass prices, with varying perceptions regarding government intervention. The majority of the farmers perceived the establishment of a biomass-based power plant in their region with positive economic outcomes. The farmers identified several barriers to supply biomass to a power plant where transportation logistics appeared to be the main barrier. The study recommends considering biomass collection, storage and transportation logistics as a fundamental segment of any envisioned investment in a biomass-based power plant. Biomass processing, such as pelletization or briquetting is recommended for efficient transportation of biomass at longer distances to reduce the transportation costs. The study further encourages the
OPEN ACCESSChallenges 2015, 6 43 establishment of a farmers' association aimed at collecting and selling biomass in agriculture areas predominant for small land holdings.
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