The process of “EXTRACTION”. The flow is Newtonian at shear rates where the time-scale of coil extension in shear fields is much longer than that of desorption. For the conductivity parallel to the layers, an effective medium calculation comes within 10% of the true conductivity. contacting solid grains in the liquid matrix. You can change your ad preferences anytime. Clipping is a handy way to collect important slides you want to go back to later. The zero-order release periods obtained from KCl/Eudragit® RS-PM matrices have been investigated in this paper. diffusion coefficient in random porous media. This drastically affects the temperature dependence of the conductivity. are presented for situations where solid grain contiguity exceeds the percolation limit, yet grain sliding occurs in response See our Privacy Policy and User Agreement for details. Indian Journal of Pharmaceutical Sciences, Percolation theory, fractal geometry, and dosage form desing, Equivalence of the Critical Concentrations in the Ising and Heisenberg Models of Ferromagnetism, Flocculation of Colloids by Soluble Polymers and its Effect on Rheology, Application of Percolation Theory to Characterize the Release Behavior of Carteolol Matrix Systems, Zero-order release periods in inert matrices. The concepts of percolation theory are used to elucidate the formation of a tablet by compression of particulate matter. The process is essentially phase separation resulting in particle-rich solid and particle-poor fluid phases. bond problems on the honeycomb and triangular lattices are obtained. No public clipboards found for this slide. To read the full-text of this research, you can request a copy directly from the authors. The, The largest current in the bonds of a random resistor network (RRN) is shown to have an anomalous size dependence given by Imax∼(lnL)α, for L (the linear dimension of the network) ≫ξp (the percolation correlation length). The lattice percolation model has been previously reported in the literature as appropriate to model tablet tensile strength for systems containing microcrystalline cellulose … The control equations of the system are set up and the simulation method is Learn more. The random Ising models are solved in the annealed limit for both site and bond dilution. © 2008-2020 ResearchGate GmbH. diffusion can be obtained. The strong solution of active constituents of drug formed during maceration is displaced by the fresh menstruum when percolation process is started. macrostructure to distortion during liquid-phase sintering for many common alloys. Substantial improvements in the interpretation of the compression-compaction process are possible with these findings, and some interpretations differ from previous ones in earlier publications. The influence of the particle size and drug loading governing the time-period for a constant release has been investigated. both parallel and perpendicular to the layers, in both two and three dimensions. You can request the full-text of this article directly from the authors on ResearchGate. Because of effects of different particle size and shape of … Two linear regions, above and below the percolation threshold of the harder substance, can therefore be identified.The linear relationships can be used for predictive purposes in the composition ranges in which they are valid. Journal Article, Even when solid grains are connected into a solid skeleton, there is possible component shape distortion during liquid-phase But if continuous percolation stage has … The article explains the concept of percolation theory and types. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. ResearchGate has not been able to resolve any citations for this publication. of VPT, VCG. Both effective-medium results and numerical Monte Carlo calculations of finite simple-cubic networks show that the piezoresistive anisotropy is a strongly dependent function of bond probability p and of bond conductance distribution width Δg. We argue that a measurement of the piezoresistive anisotropy could be a sensitive tool to estimate critical metallic concentrations in real granular metals. Towards this end, we focus on the partial coverage by applying the percolation theory to solve the exposure path problem for wireless sensor networks. In contrast, the exposure-path prevention does not require full coverage sensor deployment, and instead it only needs the partial coverage, because the exposure paths are prevented as long as no moving, We present an exact algorithm for finding all the ground states of the two-dimensional Edwards-Anderson +/-J spin glass and characterize its performance. The process of compaction can be considered as a combination of site and bond percolation phenomena. Looks like you’ve clipped this slide to already. ferromagnetic order and show how percolating paths are created by the overlap of different ground-state solutions. Long square-lattice and cubic-lattice samples consisting of many layers are simulated. DOI: The criterion established here is based on the effective stress and its relation to the strength of the bond between Within each layer, the concentration of permeable bonds is constant whereas each layer has a different concentration chosen randomly from the interval between the percolation threshold and unit concentration. The network formation process can be described as a sol-gel transition through percolation theory. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. We propose a bond-percolation theory based scheme by mapping the exposure path problem into a bond percolation model. We evaluate our proposed model by simulations. As a result, only one inflexion point component occurs in the semilogarithmic plot of H0 as a function of the binary component compact composition. The two inflexion points which give rise to the three linear regions correspond to the percolation thresholds of the components.In a compact, consisting of a relatively hard and a relatively soft substance, the hardness is dominated by the harder substance as long as it percolates the compact despite the occurrence of a percolating cluster of the softer substance. This treatment provides a method for linking Furthermore, the relationship between this time and the distance to the percolation threshold has been studied for the first time. The bonds in suspensions flocculated by depletion show little resistance with respect to transverse bending forces. Metallurgical and Materials Transactions A. explain progressive distortion observed in high solid volume fraction systems. The composition dependence and the critical percolation density are similar to what has been observed in crystalline systems. Similar percolation thresholds have been found (52.7%, 56.2% v/v for the insoluble phase and 48.2% to 51.2% v/v for the soluble phase), even with changing formulation factors such as nature and percentage of polymer, type of wetting liquid and nature, and percentage of filler. This model is, in certain cases, only rigorously valid close to the percolation threshold (range, [+/- 0.1 pc]). Prof., Dept. objects or phenomena can go through a deployment region without being detected. In suspensions flocculated by irreversible bridging the extension and bending of bonds can accumulate the elastic energy and the relaxation hardly takes place by thermal energy. When the polymer chains do not have strong affinity for the surface the suspensions are flocculated by reversible bridging. Because of effects of different particle size and shape of the particles in a powder bed and effects of brittle fracture and plastic flow, moisture content of the powder, and finite size of the tablet, no sharp percolation thresholds are expected. limit to, A 3-D bond pore network model is presented and used to evaluate the effect of pore size and connectivity on the effective Icom and scales as Icom∼(lnL)β. Analytic arguments are presented to support the inequality 1/[2(D-1)]≲β≤α≲1, where D is the spatial dimension. New microstructure-based criteria (1962) for the site and. are different, they obtain the same temperature dependence for the conductivity, namely Mott's law sigma approximately exp(-(T0/T)14/). The irreversible growth can generate fractal floes. Combination of the Heckel equation with an equation derived earlier for the properties (X) of tensile strength (sigma t) and deformation hardness (P) yields a power law with q = 1, S'(sigma t) = sigma tmax/(1 - pc), and S(P) = Pmax/(1 - pc).


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