Academic literature on the topic 'Constrained percolation'
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Journal articles on the topic "Constrained percolation"
Reimann, Stefan, and Andreas Tupak. "Can constrained percolation be approximated by Bernoulli percolation?" Journal of Physics A: Mathematical and General 35, no. 48 (November 19, 2002): 10219–27. http://dx.doi.org/10.1088/0305-4470/35/48/302.
Full textde Lima, B. N. B., R. Sanchis, D. C. dos Santos, V. Sidoravicius, and R. Teodoro. "The Constrained-degree percolation model." Stochastic Processes and their Applications 130, no. 9 (September 2020): 5492–509. http://dx.doi.org/10.1016/j.spa.2020.03.014.
Full textGoyal, Abhay, Nicos S. Martys, and Emanuela Del Gado. "Flow induced rigidity percolation in shear thickening suspensions." Journal of Rheology 68, no. 2 (February 5, 2024): 219–28. http://dx.doi.org/10.1122/8.0000786.
Full textBendisch, Jürgen, Stefan Reimann, and Hartmut von Trotha. "Site percolation for a class of constrained honeycomb lattices." Physica A: Statistical Mechanics and its Applications 307, no. 1-2 (April 2002): 1–14. http://dx.doi.org/10.1016/s0378-4371(01)00611-2.
Full textSausset, François, Cristina Toninelli, Giulio Biroli, and Gilles Tarjus. "Bootstrap Percolation and Kinetically Constrained Models on Hyperbolic Lattices." Journal of Statistical Physics 138, no. 1-3 (December 12, 2009): 411–30. http://dx.doi.org/10.1007/s10955-009-9903-1.
Full textPASTORE, RAFFAELE, MASSIMO PICA CIAMARRA, and ANTONIO CONIGLIO. "PACMAN PERCOLATION AND THE GLASS TRANSITION." Fractals 21, no. 03n04 (September 2013): 1350021. http://dx.doi.org/10.1142/s0218348x13500217.
Full textdo Amaral, Charles S. "Constrained volume-difference site percolation model on the square lattice." Physica A: Statistical Mechanics and its Applications 663 (April 2025): 130431. https://doi.org/10.1016/j.physa.2025.130431.
Full textYan, Zehao, and Mo Li. "A Stochastic Optimization Model for Agricultural Irrigation Water Allocation Based on the Field Water Cycle." Water 10, no. 8 (August 3, 2018): 1031. http://dx.doi.org/10.3390/w10081031.
Full textBeach, Kory, Jeremy A. K. Horwitz, Alyssa Maich, Elida White, Dane Ramos, Ryan S. Crum-Friedman, Minta Akin, and Fady M. Najjar. "Constrained model calibration of grain structure dependent spall dynamics in shock-loaded tantalum." Journal of Applied Physics 132, no. 8 (August 28, 2022): 085904. http://dx.doi.org/10.1063/5.0102611.
Full textLi, Zhongyang. "Constrained percolation, Ising model, and XOR Ising model on planar lattices." Random Structures & Algorithms 57, no. 2 (May 7, 2020): 474–525. http://dx.doi.org/10.1002/rsa.20924.
Full textDissertations / Theses on the topic "Constrained percolation"
Shapira, Assaf. "Bootstrap percolation and kinetically constrained models in homogeneous and random environments." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCC066.
Full textThis thesis concerns with Kinetically Constrained Models and Bootstrap Percolation, two topics in the intersection between probability, combinatorics and statistical mechanics. Kinetically constrained models were introduced by physicists in the 1980's to model the liquid-glass transition, whose understanding is still one of the big open questions in condensed matter physics. They have been studied extensively in the physics literature in the hope to shed some light on this problem, and in the last decade they have also received an increasing attention in the probability community. We will see that even though they belong to the well established field of interacting particle systems with stochastic dynamics, kinetically constrained models pose challenging and interesting problems requiring the development of new mathematical tools.Bootstrap percolation, on the other hand, is a class of monotone cellular automata, namely discrete in time and deterministic dynamics, the first example being the r-neighbor bootstrap percolation introduced in 1979. Since then, the study of bootstrap percolation has been an active domain in both the combinatorial and probabilistic communities, with several breakthroughs in the recent years.Though introduced in different contexts, kinetically constrained models and the bootstrap percolation, as we will see, are intimately related; and one may think of bootstrap percolation as a deterministic counterpart of kinetically constrained models, and of kinetically constrained models as the natural stochastic version of bootstrap percolation
Marêché, Laure. "Kinetically constrained models : relaxation to equilibrium and universality results." Thesis, Université de Paris (2019-....), 2019. http://www.theses.fr/2019UNIP7125.
Full textThis thesis studies the class of interacting particle systems called kinetically constrained models (KCMs). It considers first the question of universality: can the infinity of possible models be sorted into a finite number of classes according to their properties? Such a result was recently proven in a related class of models, bootstrap percolation, where models can be divided into supercritical, critical and subcritical. This classification can also be applied to KCMs, but it is not precise enough: supercritical KCMs have to be divided into rooted and unrooted, and critical KCMs depending on them having or not an infinity of stable directions. This thesis shows the relevance of this classification of KCMs and completes the proof of their universality in the supercritical and critical cases, by proving a lower bound for two characteristic scales, the relaxation time and the first time at which a site is at 0, in the supercritical rooted case (work with F. Martinelli and C. Toninelli, relying on a combinatorial result shown without collaboration) and in the case of critical models with an infinity of stable directions (work with I. Hartarsky and C. Toninelli). It also establishes a more precise lower bound in the particular case of the Duarte model (work with F. Martinelli and C. Toninelli). Secondly, this thesis shows results of exponential convergence to equilibrium, for all supercritical KCMs under certain conditions and in the particular case of the d-dimensional East model without restrictions
Siest, Pierrick. "Étude d’un modèle de percolation avec contrainte, et de modèles à croissance aléatoire linéaire." Electronic Thesis or Diss., Université de Lorraine, 2024. http://www.theses.fr/2024LORR0204.
Full textConstrained percolation is the study of percolation models in which the random subgraph obtained after edge removal is conditioned to verify a particular constraint. The first part of this thesis deals with a specific constrained percolation model: the corner percolation model. We show that in a regime with preferred directions, there are almost surely infinitely many infinite edge paths, and we determine the common asymptotic direction of these paths, using two different approaches. The second part of this thesis deals with interacting particle systems. We focus on variants of two classical models in this field: the Richardson model and the contact process. The latter can be seen as simplified versions of models representing the evolution over time of an epidemic, with infection and recovery dynamics. We focus on the incorporation into these models of a mixing dynamics, corresponding to the movement of individuals. We show several results on the Richardson model with mixing and the contact process with mixing, including an asymptotic shape theorem for the set of infected individuals. To prove this theorem, we use a general asymptotic shape theorem that we have shown for a class of interacting particle systems, which we call linear random growth models: this theorem is the subject of the last part of this thesis
BASCH, VALENTIN. "Melt-rock interactions in the oceanic lithosphere: microstructural and petro-geochemical constraints from ophiolites." Doctoral thesis, Università degli studi di Genova, 2018. http://hdl.handle.net/11567/932462.
Full textMelt-rock interactions have been increasingly invoked as key processes in the formation and compositional evolution of the oceanic crust, from separate lines of evidence: (1) the study of the chemical zoning and melt inclusions in lava phenocrysts (Lissenberg et al., 2013; Laubier et al., 2014; Coumans et al., 2016), (2) peculiar compositional trends observed in mid-ocean ridge basalts (MORBs), not consistent with a process of pure fractional crystallization (Collier & Kelemen, 2010; Van den Bleeken et al., 2010, 2011; Paquet et al., 2016), (3) olivine-rich troctolites found enclosed in the lowermost oceanic crust, thought to represent the “hybrid” reactive product of the interaction between dunites from the crust-mantle boundary and percolating MORB melts, dissolving olivine and crystallizing interstitial plagioclase and clinopyroxene (Suhr et al., 2008; Drouin et al., 2010; Renna & Tribuzio, 2011; Higgie & Tommasi, 2012; Sanfilippo et al., 2014; Rampone et al., 2016). The latter studies thus describe melt-rock interactions as a rock-forming process, leading to the incorporation of mantle slivers into the lower oceanic crust and formation of olivine-rich lithologies after multiple episodes of melt-rock interaction (Drouin et al., 2010, Sanfilippo & Tribuzio, 2012). The study presented in this thesis aims at constraining the structural and geochemical variations caused by melt-rock interaction processes acting at oceanic peridotite/gabbro transition settings, leading to the replacive formation of hybrid lithologies (plagioclase-bearing dunites, troctolites and olivine gabbros). These processes are often described in oceanic settings (Mid-Atlantic Ridge, Southwest Indian Ridge, East Pacific Rise), where clear field associations from the mantle protolith to the end-product are lacking, thus not allowing the direct observation of the evolution related to melt-rock interaction processes. The work has been developed through investigations on three ophiolitic case studies, fossil analogues of the oceanic lithosphere, preserving the primary association between mantle peridotites and gabbroic rocks: i) the Erro Tobbio peridotitic body and associated troctolites and olivine gabbros, in the Ligurian Alps (Italy), ii) the Monte Maggiore peridotites and associated dunites and troctolites, in the Alpine Corsica (France), and iii) the Maqsad massif Moho Transition Zone, in the Oman ophiolites. In all these ophiolites, previous studies documented a multi-stage melt-rock interaction history. In this study, we have used a multidisciplinary field, structural (EBSD) and geochemical approach (mineral major and trace element analyses) to define the replacive vs magmatic origin of the gabbroic lithologies and the correlation between the structural and geochemical variations induced by melt-rock interaction processes in a field-controlled petrological setting. In the Erro-Tobbio unit (Ligurian Alps, Italy), impregnated mantle peridotites are primarily associated to a hectometre-size mafic body composed of troctolite and plagioclase-bearing wehrlite, both crosscut by late gabbroic dykes. The troctolitic body exhibits high inner complexity, with a host troctolite (Troctolite A) crosscut by a second generation of troctolitic metre-size pseudo-tabular bodies (Troctolite B) (Borghini et al., 2007; Rampone & Borghini, 2008; Rampone et al., 2016). The host Troctolite A is characterized by two different textural types of olivine, between corroded deformed millimetre- to centimetre-size olivine and fine-grained rounded undeformed olivine, both embedded in interstitial to poikilitic plagioclase and clinopyroxene. It includes centimetre- to decimetre-size dunitic pods, surrounded by plagioclase enrichments. The Troctolite A shows meltrock reaction microstructures indicative of formation after impregnation of dunites by an olivineundersaturated melt (olivine being corroded by interstitial plagioclase). The textural evolution during impregnation is accompanied with a clear change of the olivine Crystallographic Preferred. Orientation (CPO), from dunitic aggregates bearing interstitial plagioclase preserving an axial-[100] pattern, similar to the CPO analyzed in the country peridotites, to single olivine grains embedded in poikilitic plagioclase in the most plagioclase-rich samples, showing a randoming of the olivine CPO indicative of the loss of cohesion of the solid matrix during impregnation at high melt/rock ratios (Rosenberg & Handy, 2005; Drouin et al., 2010). The Troctolite A shows reactive mineral compositional trends of evolution, characterized by variable Anorthite contents in plagioclase at constant Forsterite content in the olivine matrix, indicative of the buffering of the melt composition by the assimilation of olivine during impregnation (modelling performed using the pMELTS thermodynamic software; Ghiorso et al., 2002). The Troctolite B pseudo-tabular bodies correspond to brittle-ductile intrusions within the pre-existing Troctolite A, showing olivine CPO indicative of a formation by magmatic flow (shape-related orientation of the crystals; Benn & Allard, 1989; Jousselin et al., 2012). They are characterized by extreme textural variations from decimetre-size dendritic to fine-grained euhedral olivines, embedded in poikilitic plagioclase. We infer that this textural variability is the result of olivine assimilation during formation of the Troctolite A (diffuse percolation) and intrusion of the Troctolite B (focused percolation), and to the related increase in the degree of undercooling of the percolating melt (increase of the melt liquidus temperature up to 65°C during olivine assimilation; Faure et al., 2003, 2007; O’Driscoll et al., 2007). Mineral compositions within the Troctolite B are similar to the ones analyzed in the Troctolite A and indicate that olivinedissolving melt-rock interactions were still involved in the focused melt percolation (pMELTS; Ghiorso et al., 2002). The gabbroic intrusions crosscutting the association between mantle peridotites and the troctolitic body show mineral compositional trends of evolution consistent with the fractional crystallization of the melts modified after the olivine-dissolving reactive melt percolation related to the formation of the Troctolite A and Troctolite B (pMELTS; Ghiorso et al., 2002). Therefore, the Erro-Tobbio troctolitic body shows a poly-phase formation history related to the thermal evolution (Borghini et al., 2007; Rampone & Borghini, 2008), from diffuse reactive percolation leading to the replacive formation of the host Troctolite A in ductile environments, to brittle-ductile focused reactive percolation and formation of the Troctolite B, to the intrusion and fractional crystallization of the modified melt and formation of the gabbroic dykes in brittle environments. The Mt.Maggiore peridotitic body (Alpine Corsica, France) exposes a clear evolution from spinel lherzolite to plagioclase-bearing lithotypes (plagioclase peridotites, olivine-rich troctolites and troctolites) (Rampone et al., 1997, 2008; Muntener & Piccardo, 2003; Piccardo & Guarnieri, 2010) during two continuous episodes of melt-rock interaction. At spinel facies, the reactive melt percolation of LREE-depleted melts, likely representing unaggregated last melt increments produced by fractional melting of underlying asthenosphere mantle, leads to the dissolution of mantle pyroxenes and the growth of olivine crystals, until the formation of replacive spinel dunites in the most reacted peridotites. As a result, metre-size dunitic pods, characterized by irregular coarse grains of olivine, are enclosed in reacted olivine-rich spinel harzburgites (Rampone et al., 1997, 2008; Muntener & Piccardo, 2003; Piccardo & Guarnieri, 2010). The progressive evolution from spinel lherzolite to harzburgite to replacive dunite is accompanied by a change of olivine CPO, from axial-[100] in the lherzolite, consistent with high-temperature low-strain dislocation creep, commonly described in mantle peridotites (Tommasi et al., 2000), to axial-[010] olivine CPO in the dunites, indicative of deformation in presence of melt (Holtzman et al., 2003; Le Roux et al., 2008). The initial percolating melt composition is consistent with single melt increments after 6% partial melting of a depleted mantle source (Rampone et al., 1997, 2008). The reactive melt percolation leads to a progressive enrichment in the melt HREE absolute concentrations, while preserving its LREE depletion (REE modelling using the Plate Model after Vernières et al., 1997), consistent with the enriched analyzed HREE composition of olivine in the spinel dunite. At shallower plagioclase facies, the melts modified after reactive melt percolation (LREEdepleted, HREE-enriched) impregnate the spinel-facies lithotypes, leading to the dissolution of olivine and crystallization of plagioclase and orthopyroxene (± clinopyroxene) in the peridotites (Rampone et al., 1997, 2008; Piccardo & Guarnieri, 2010). The impregnation stage is also observed in the spinel dunites, leading to the hybrid formation of olivine-rich troctolites and troctolites, after dissolution of olivine and crystallization of interstitial plagioclase. The dissolution-precipitation reaction forming the hybrid troctolite develops progressive textural variations correlated with the modal content in olivine (decreasing during reaction). As inferred from previous studies of hybrid olivine-rich troctolites in oceanic settings (Suhr et al., 2008; Drouin et al., 2010), the irregular and coarse olivines from the dunite protolith are progressively corroded and disrupted by the reactive plagioclase-crystallizing melt, to form textures characterized by numerous rounded olivines embayed in poikilitic plagioclase. Therefore, during progressive impregnation, an increase in Grain Number, correlated with a decrease in grain area, aspect ratio and shape sactor of the olivine grains is observed. The textural evolution during impregnation is not accompanied by clear variations in the olivine CPO, indicative of very low instantaneous melt/rock ratios during the impregnation process. Olivine, plagioclase and clinopyroxene REE compositions analyzed in the troctolite fit a process of impregnation with a progressive closure of the porosity (at decreasing melt mass), leading to the crystallization of trapped melt and REE enrichments during the last crystallization increments (Plate Model; Vernières et al., 1997). The crystallization of small trapped melt fractions is consistent with the low instantaneous melt/rock ratio suggested by the preserved olivine CPO during the impregnation process. The Oman Moho Transition Zone (MTZ) is formed of a layering of interfingered dunites (sensu lato; >70 vol% modal olivine) and variably evolved olivine gabbros (from 10 to 70 vol% olivine; Boudier & Nicolas, 1995; Higgie & Tommasi, 2012). A recent petrological and structural study by Higgie & Tommasi (2012) demonstrated the replacive origin of the olivine gabbro layers, formed by a deformation-driven focused reactive percolation within the pre-existing dunite, corroding the olivine matrix and crystallizing interstitial clinopyroxene and plagioclase. The progressive evolution of modal compositions (decreasing modal composition of olivine) is accompanied by a change in symmetry of olivine CPO from axial-[100] patterns in the dunite to axial-[010] CPO in the olivine gabbro, observed over a range of olivine modal compositions from 60 to 40 vol%. Higgie & Tommasi (2012) interpreted this olivine CPO evolution as indicative of the higher cumulated strain and melt/rock ratio integrated over time in the olivine gabbro layers. The centimetre-scale at which the structural variations are observed within the dunite - olivine gabbro layering calls for a positive feedback between deformation and melt focusing in the weaker olivine gabbro layers, as previously described in melt-bearing simple shear experiments (Zimmerman et al., 1999, Holtzman et al., 2003b). Strong chemical discrepancies are observed between the dunite layers showing compositional trends of evolution indicative of a closed system melt impregnation, with the buffering of the melt composition by the host rock and the olivine dissolving melt-rock interaction, and the olivine gabbro layers showing compositions dominated by the percolating melt composition, consistently with the open-system reactive melt percolation previously described by Higgie & Tommasi (2012). We observed a good correlation between the transition from axial-[100] in olivine-rich samples to axial-[010] in more evolved olivine gabbros, and the geochemical transition from closed system (matrix-dominated) to open system (meltdominated) mineral compositions. The clinopyroxene REE and trace elements compositions are consistent with a MORB-type melt composition, similar to the clinopyroxenes analyzed in the Oman lower crustal gabbros, indicating that melts percolating the Moho Transition Zone were then extracted and fed the oceanic crust (Kelemen et al., 1997; Korenaga & Kelemen, 1997; Koga et al., 2001). The olivine gabbros show an [olivine – clinopyroxene – plagioclase] crystallization sequence (Browning, 1984), and high-Anorthite plagioclase (An = 87-92 mol%) is associated with relatively evolved compositions of olivine (Fo = 83-84 mol%) and clinopyroxene (Mg# = 86-88 mol%). Previous studies (Kelemen et al., 1997; Korenaga & Kelemen, 1997; Koga et al., 2001) invoked the crystallization of hydrous melts to explain the peculiar crystallization order and minecompositions, not consistent with the crystallization ofdry MORB-type melt at 2kbar (Koga et al., 2001). However, based on the absence of any hydrous phase, the high calculated plagioclaseclinopyroxene equilibrium temperatures (REE geothermometer after Sun et al., 2017), and the decoupling between Anorthite contents in plagioclase and Forsterite contents in olivine (both positively correlated with the water content in the melt), we infer that the water content of the parental melt is not the controlling factor on the composition of crystallizing minerals, rather a peculiar CaO-rich chemical signature of the primary MORB melt (high CaO/Na2O and CaO/Al2O3 and fractional crystallization modelling performed using the pMELTS thermodynamic software; Ghiorso et al., 2002), possibly formed by partial melting of a mixed pyroxenite-peridotite mantle source (e.g. Borghini et al., 2017). The results of this thesis demonstrate the possible hybrid origin of gabbroic rocks in fieldcontrolled ophiolitic settings, and provide a textural, structural and geochemical methodology to constrain melt-rock interaction processes and the magmatic vs replacive origin of an olivine-rich gabbroic rock. The three case studies highlight a significant control of instantaneous and cumulated melt/rock ratios on both the structural and the geochemical evolution during melt-rock interaction processes. The combination of structural and geochemical analyses allows a detailed understanding of the melt-rock interaction processes from large to small scale, and the related structural and geochemical evolution of the pre-existing mantle matrix and percolating melt.
Schröder, Malte. "Network Formation and Dynamics under Economic Constraints." Thesis, 2018. http://hdl.handle.net/11858/00-1735-0000-002E-E3A1-0.
Full textBook chapters on the topic "Constrained percolation"
Floris, Antonio, and Lucio Di Cosmo. "Protective Function and Primary Designated Management Objective." In Springer Tracts in Civil Engineering, 469–502. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-98678-0_11.
Full textStevenson, D. J. "Fluid Dynamics Of Core Formation." In Origin of the Earth, 231–49. Oxford University PressNew York, NY, 1990. http://dx.doi.org/10.1093/oso/9780195066197.003.0014.
Full textPullum, Lionel. "High Concentration, Coarse Particle, Hydraulic Conveying." In Slurry Technology - New Advances [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.107230.
Full textConference papers on the topic "Constrained percolation"
Sawayama, K., T. Ishibashi, F. Jiang, and T. Tsuji. "Rock Physical Modeling of Sheared Fractures: Permeability-Resistivity-Seismic Velocity Relationship Explored via Digital Rock Physics Approach." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0740.
Full textSarkar, Amites, and Martin Haenggi. "Percolation in the secrecy graph: Bounds on the critical probability and impact of power constraints." In 2011 IEEE Information Theory Workshop (ITW). IEEE, 2011. http://dx.doi.org/10.1109/itw.2011.6089582.
Full textHu, Jialiang, Pradeep Menon, Amna Al Yaqoubi, Mohamed Al Shehhi, Mahmoud Basioni, Fabio Roncarolo, and Natela Belova. "Fracture Characterization in Deep Gas Reservoirs to Identify Fracture Enhanced Flow Units, Offshore Abu Dhabi." In Abu Dhabi International Petroleum Exhibition & Conference. SPE, 2021. http://dx.doi.org/10.2118/207646-ms.
Full textFeofilov, Grigory Alexandrovich, Igor Altsybeev, and Olga KOCHEBINA. "Constraints on string percolation model from anomalous centrality evolution data in Au-Au collisions at sqrt(s_ NN) = 62 and 200 GeV." In XXII International Baldin Seminar on High Energy Physics Problems. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.225.0067.
Full textAltsybeev, Igor, Grigory Feofilov, and Olga Kochebina. "Constraints on the percolation model from anomalous centrality evolution of two-particle correlations in Au-Au collisions at sNN=62 and 200 GeV." In XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM. AIP Publishing LLC, 2016. http://dx.doi.org/10.1063/1.4938674.
Full textGayashan, K. M. K., and R. L. H. L. Rajapakse. "Investigation of the transferability of basin hydrological parameters in Sri Lanka’s wet zone river basins." In Civil Engineering Research Symposium 2024, 41–42. Department of Civil Engineering, University of Moratuwa, 2024. http://dx.doi.org/10.31705/cers.2024.21.
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