Relevant bibliographies by topics / Reaction-diffusion processes

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Reaction-diffusion processes'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Reaction-diffusion processes"

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Chen, Mufa. "Reaction-diffusion processes." Chinese Science Bulletin 43, no. 17 (1998): 1409–20. http://dx.doi.org/10.1007/bf02884118.

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Mufa, Chen. "Infinite dimensional reaction-diffusion processes." Acta Mathematica Sinica 1, no. 3 (1985): 261–73. http://dx.doi.org/10.1007/bf02564823.

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Richardson, M. J. E., and Y. Kafri. "Boundary effects in reaction-diffusion processes." Physical Review E 59, no. 5 (1999): R4725—R4728. http://dx.doi.org/10.1103/physreve.59.r4725.

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Alimohammadi, M., and N. Ahmadi. "Class of integrable diffusion-reaction processes." Physical Review E 62, no. 2 (2000): 1674–82. http://dx.doi.org/10.1103/physreve.62.1674.

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Kurganov, Alexander, and Philip Rosenau. "On reaction processes with saturating diffusion." Nonlinearity 19, no. 1 (2005): 171–93. http://dx.doi.org/10.1088/0951-7715/19/1/009.

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Alimohammadi, Masoud. "Solvable reaction-diffusion processes without exclusion." Journal of Mathematical Physics 47, no. 2 (2006): 023304. http://dx.doi.org/10.1063/1.2168398.

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Gorecki, J., K. Gizynski, J. Guzowski, et al. "Chemical computing with reaction–diffusion processes." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2046 (2015): 20140219. http://dx.doi.org/10.1098/rsta.2014.0219.

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Chemical reactions are responsible for information processing in living organisms. It is believed that the basic features of biological computing activity are reflected by a reaction–diffusion medium. We illustrate the ideas of chemical information processing considering the Belousov–Zhabotinsky (BZ) reaction and its photosensitive variant. The computational universality of information processing is demonstrated. For different methods of information coding constructions of the simplest signal processing devices are described. The function performed by a particular device is determined by the g
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Ding, Wan-Ding, Richard Durrett, and Thomas M. Liggett. "Ergodicity of reversible reaction diffusion processes." Probability Theory and Related Fields 85, no. 1 (1990): 13–26. http://dx.doi.org/10.1007/bf01377624.

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Alimohammadi, M., and N. Ahmadi. "p-species integrable reaction–diffusion processes." Journal of Physics A: Mathematical and General 35, no. 6 (2002): 1325–37. http://dx.doi.org/10.1088/0305-4470/35/6/301.

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Hu, Jifeng, Hye-Won Kang, and Hans G. Othmer. "Stochastic Analysis of Reaction–Diffusion Processes." Bulletin of Mathematical Biology 76, no. 4 (2013): 854–94. http://dx.doi.org/10.1007/s11538-013-9849-y.

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Dissertations / Theses on the topic "Reaction-diffusion processes"

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Hellander, Stefan. "Stochastic Simulation of Reaction-Diffusion Processes." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-198522.

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Numerical simulation methods have become an important tool in the study of chemical reaction networks in living cells. Many systems can, with high accuracy, be modeled by deterministic ordinary differential equations, but other systems require a more detailed level of modeling. Stochastic models at either the mesoscopic level or the microscopic level can be used for cases when molecules are present in low copy numbers. In this thesis we develop efficient and flexible algorithms for simulating systems at the microscopic level. We propose an improvement to the Green's function reaction dynamics
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Claus, Isabelle. "Microscopic chaos, fractals, and reaction-diffusion processes." Doctoral thesis, Universite Libre de Bruxelles, 2002. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211441.

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Santos, Jaime Eduardo Moutinho. "Non-equilibrium dynamics of reaction-diffusion processes." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.361994.

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Agliari, Elena, Raffaella Burioni, Davide Cassi, and Franco M. Neri. "Autocatalytic reaction-diffusion processes in restricted geometries." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-192966.

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Agliari, Elena, Raffaella Burioni, Davide Cassi, and Franco M. Neri. "Autocatalytic reaction-diffusion processes in restricted geometries." Diffusion fundamentals 7 (2007) 1, S. 1-8, 2007. https://ul.qucosa.de/id/qucosa%3A14157.

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Abdulbake, Janan. "A renormalisation approach to reaction-diffusion processes on fractals." Thesis, Glasgow Caledonian University, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.289517.

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Chaudhry, Qasim Ali. "Computational Modeling of Reaction and Diffusion Processes in Mammalian Cell." Doctoral thesis, KTH, Numerisk analys, NA, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-93466.

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PAHs are the reactive toxic chemical compounds which are present as environmental pollutants. These reactive compounds not only diffuse through the membranes of the cell but also partition into the membranes. They react with the DNA of the cell giving rise to toxicity and may cause cancer. To understand the cellular behavior of these foreign compounds, a mathematical model including the reaction-diffusion system and partitioning phenomenon has been developed. In order to reduce the complex structure of the cytoplasm due to the presence of many thin membranes, and to make the model less computa
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Gérard, Thomas. "Theoretical study of spatiotemporal dynamics resulting from reaction-diffusion-convection processes." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209861.

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Dans les réacteurs industriels ou dans la nature, l'écoulement de fluides peut être couplé à des réactions chimiques. Dans de nombreux cas, il en résulte l'apparition de structures complexes dont les propriétés dépendent entre autres de la géométrie du système.<p><p>Dans ce contexte, le but de notre thèse a été d'étudier de manière théorique et sur des modèles réaction-diffusion-convection simples les propriétés de dynamiques spatio-temporelles résultant du couplage chimie-hydrodynamique. <p>Nous nous sommes focalisés sur les instabilités hydrodynamiques de digitation visqueuse et de densité q
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Larsson, Stig. "On reaction-diffusion equation and their approximation by finite element methods /." Göteborg : Chalmers tekniska högskola, Dept. of Mathematics, 1985. http://bibpurl.oclc.org/web/32831.

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Wang, Siyang. "Simulation of stochastic reaction-diffusion processes on lower dimensional manifolds with application in molecular biology." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-181613.

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In this thesis, we simulate stochastically the reaction-diffusion processes in a living cell. The simulation is done in three dimension (3D) by MATLAB. The one dimensional (1D) polymers are embedded in the 3D space. The reaction and diffusion events occur both in the space and on the polymers. There is also a possibility for the molecule to jump between the 3D space and 1D polymers. Two simulation levels are used: mesoscopic and microscopic. An accurate and efficient algorithm is developed for the mesoscopic simulation. The corresponding microscopic Smoluchowski equation is solved numerically
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Books on the topic "Reaction-diffusion processes"

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NATO Advanced Study Institute on Disorder and Mixing (1987 Cargèse, France). Disorder and mixing: Convection, diffusion, and reaction in random materials and processes. Kluwer Academic Publishers, 1988.

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Díaz, Jesús Ildefonso, David Gómez-Castro, and Tatiana A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110648997.

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Stochastic Modelling of Reaction-Diffusion Processes. Cambridge University Press, 2020.

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Erban, Radek, and S. Jonathan Chapman. Stochastic Modelling of Reaction-Diffusion Processes. Cambridge University Press, 2020.

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Erban, Radek, and S. Jonathan Chapman. Stochastic Modelling of Reaction-Diffusion Processes. University of Cambridge ESOL Examinations, 2019.

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Erban, Radek, and S. Jonathan Chapman. Stochastic Modelling of Reaction-Diffusion Processes. University of Cambridge ESOL Examinations, 2019.

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Fasano, A. Problems in Nonlinear Diffusion: Lectures Given at the 2nd 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini (Lecture Notes in Computer Science). Springer, 1987.

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Díaz, Jesús Ildefonso, David Gómez-Castro, and Tatiana A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization. De Gruyter, Inc., 2021.

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Díaz, Jesús Ildefonso, David Gómez-Castro, and Tatiana A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization. de Gruyter GmbH, Walter, 2021.

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Díaz, Jesús Ildefonso, David Gómez-Castro, and Tatiana A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization. de Gruyter GmbH, Walter, 2021.

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Book chapters on the topic "Reaction-diffusion processes"

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Tomé, Tânia, and Mário J. de Oliveira. "Reaction-Diffusion Processes." In Graduate Texts in Physics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11770-6_16.

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Bressloff, Paul C. "Stochastic reaction–diffusion processes." In Interdisciplinary Applied Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72519-8_16.

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Freidlin, Mark. "Wave Fronts in Reaction-Diffusion Equations." In Markov Processes and Differential Equations. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9191-2_8.

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Alcaraz, Francisco C., and Vladimir Rittenberg. "Reaction-Diffusion Processes and Quantum Chains." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_15.

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Volpert, Vitaly. "Reaction-diffusion Processes, Models and Applications." In Elliptic Partial Differential Equations. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0813-2_1.

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Freidlin, Mark. "Large Scale Approximation for Reaction-Diffusion Equations." In Markov Processes and Differential Equations. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9191-2_10.

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Catanzaro, Michele, Marián Boguñá, and Romualdo Pastor-Satorras. "Reaction-diffusion Processes in Scale-free Networks." In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-69395-6_5.

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Bressloff, Paul C. "Intracellular pattern formation and reaction–diffusion processes." In Interdisciplinary Applied Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72519-8_11.

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Yoo, Han-Ill. "Kinetics of Gas/Solid Reaction: Diffusion-Controlled Case." In Lectures on Kinetic Processes in Materials. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-25950-1_8.

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Bandman, Olga. "A Hybrid Approach to Reaction-Diffusion Processes Simulation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-44743-1_1.

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Conference papers on the topic "Reaction-diffusion processes"

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Freire, Teofilo Cobos, Souvik Mahapatra, and Alexander L. Shluger. "Atomistic Simulation of Defect Processes Involved in the Reaction-Diffusion-Drift Model of NBTI." In 2024 IEEE International Integrated Reliability Workshop (IIRW). IEEE, 2024. https://doi.org/10.1109/iirw62856.2024.10947139.

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Linhardt, P. "Corrosion Processes in the Presence of Microbiologically Deposited Manganese Oxides." In CORROSION 2000. NACE International, 2000. https://doi.org/10.5006/c2000-00398.

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Abstract The influence of oxygen on the cathodic behaviour of manganese dioxide was studied qualitatively by galvanostatic reduction of MnO2 deposited electrochemically onto stainless steel (SS), under aerated and deaerated conditions. The results indicate that the reduction takes place primarily at the interface MnO2/SS–substrate and leads to detachment of the deposit. Oxygen may participate in the reduction reaction being reduced itself and retarding the detachment process. This effect is diminished at higher current densities due to diffusion limitation of oxygen. It is concluded that the w
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Crolet, Jean-Louis, and Michel R. Bonis. "Revisiting Hydrogen in Steel, Part I : Theoretical Aspects of Charging, Stress Cracking and Permeation." In CORROSION 2001. NACE International, 2001. https://doi.org/10.5006/c2001-01067.

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Abstract This article first of all summarizes recent changes in the understanding of hydrogen charging and hydrogen stress cracking (HSC) mechanisms : In a completely unexpected manner, hydrogen charging is found to coexist with significant degassing of the metal towards the corrosive medium. The surface reaction 2 Hads → H2 ➚ is thus extremely rapid, even in sour media. It is therefore in no way inhibited, contrary to former belief.Charging probably involves a cathodic reaction in which a proton is transferred directly from the electrolyte into the metal, without requiring the intermediate fo
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Pomeroy, M. J., P. Byrne, and R. Ramesh. "Oxidation and Alkali-Metal Sulphate Corrosion Processes in Silicon Nitride - Based Materials." In CORROSION 1998. NACE International, 1998. https://doi.org/10.5006/c1998-98198.

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Abstract β-sialon materials (Si(6-z)AlzOzN(8-z)) densified with a YSiAlON glass and having z-values of 0.2, 0.5, 1.0, 1.5, 2.0 and 3.0 have been subjected to oxidation and hot corrosion experiments. From the results obtained, the process by which oxidation occurs at a temperature of 1350°C involves direct solution of β-sialon grains by an aluminosilicate liquid. This liquid forms by the preferential diffusion of yttrium and/or aluminium from the bulk of the ceramic into the scale - ceramic interface. In the case of higher z-value materials (≥1.0), liquid formation is also facilitated by the re
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Evitts, R. W., J. Postlethwaite, and M. K. Watson. "Modelling Crevice Corrosion." In CORROSION 1992. NACE International, 1992. https://doi.org/10.5006/c1992-92075.

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Abstract An improved mathematical technique has been developed for the numerical simulation of the incubation period of crevice corrosion. The model utilizes an iterative fully-implicit finite difference method coupled with a modified fractional- step decoupling technique to solve the mass transport section of the model. This produces an unconditionally stable algorithm permitting time step considerations to be centered around the desired accuracy of the solution. All chemical equilibria are solved simultaneously by the use of a multiple Newton-Raphson technique. Two test cases were explored.
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Woollam, Richard C., and Richard Barker. "An Explanation for the Difference in Reported Iron Carbonate (Siderite) Precipitation Kinetics." In CONFERENCE 2025. AMPP, 2025. https://doi.org/10.5006/c2025-00434.

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Abstract In energy production, and carbon capture and storage processes which involve the transport of carbon dioxide (CO2)-saturated aqueous solution in carbon steel pipework, the precipitation of iron carbonate (siderite) at the steel-solution interface is known to have a significant impact on the corrosion process. As a result, the precipitation kinetics of iron carbonate have been an area of significant research with several studies reported in literature. Unfortunately, the reported rates of precipitation can differ by 2 - 3 orders of magnitude depending on the experimental methodology. I
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Mulaudzi, Fulufhelo Marandela, Lesley Cornish, Gideon Slabbert, Jones Papo, and Jianqiang Zhang. "An Investigation of Metal Dusting Corrosion of Alloys N06025 and N08800." In CORROSION 2012. NACE International, 2012. https://doi.org/10.5006/c2012-01222.

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Abstract The mechanistic studies of metal dusting processes and associated filamentous carbon formation were carried out in Alloys N06025 (Ni-based) and N08800 (austenitic Fe-based) under a simulated metal dusting environment (18.9 vol% Co–79.1 vol% H2–2 vol% H2O) at 650oC. Reaction kinetics and product characterisation of alloys N06025 and N08800 were studied by weight loss/gain measurement, visual examination, optical microscopy, scanning electron microscopy with energy dispersive X-ray analysis (SEM-EDX) and X-ray diffraction (XRD). The results showed that alloy N06025 is more resistant to
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Macdonald, Digby D. "Fundamental Issues in the Application of Electrochemical Impedance Spectroscopy." In CORROSION 2005. NACE International, 2005. https://doi.org/10.5006/c2005-05343.

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Abstract The history of Electrochemical Impedance Spectroscopy (EIS) is briefly reviewed, starting with the foundations laid by Heaviside in the late nineteenth century in the form of Linear Systems Theory (LST). Warburg apparently was the first to extend the concept of impedance to electrochemical systems at the turn of the nineteenth century, when he derived the impedance function for a diffusion process that still bears his name. Impedance spectroscopy was next employed extensively using reactive bridges to measure the capacitance of ideally polarizable electrodes (mostly mercury), leading
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Eggum, Troy, Nima Tajallipour, Sridhar Arumugam, and Patrick Teevens. "Comprehensive Approach to Oxygen Corrosion Analysis of Water Injection Systems." In CORROSION 2015. NACE International, 2015. https://doi.org/10.5006/c2015-05962.

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Abstract Oxygen corrosion is a major threat to water injection systems, particularly when injecting seawater to maintain reservoir pressure. Utilizing and building on previously published approaches, mechanistic and semi-empirical modeling applications were developed for oxygen corrosion in aqueous environments. The goal of this work was to develop a comprehensive, multi-platform approach that can be applied to a variety of oilfield water applications (seawater and produced water) and conditions (oxygen concentrations, flow velocities, temperatures, etc.). The Oxygen Reduction Reaction rate (t
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Yepez, Omar, Nihal Obeyesekere, and Jonathan Wylde. "Can Critical Pitting Temperature Be Used on Carbon Steel? and Finding the Localized Corrosion Behavior in the Impedance Spectra of the CO2 Corrosion Process." In CORROSION 2018. NACE International, 2018. https://doi.org/10.5006/c2018-11389.

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Abstract Critical Pitting Temperature (CPT) is used to measure the breakdown of passive layers on corrosion resistant alloys. A large oxidative potential, typically +720 mV (SCE) is imposed on a metal surface. Then, the reaction temperature is increased from 0 °C until a breakdown of the metallic passive layer occurs. This breakdown is observed as an abrupt increase in the current. For example, in the case of UNS S31600, the failure of its metallic passive layer occurs around 12 °C. The high current observed is due to localized corrosion occurring where the layer broke. An oxidative potential
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Reports on the topic "Reaction-diffusion processes"

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Or, Dani, Shmulik Friedman, and Jeanette Norton. Physical processes affecting microbial habitats and activity in unsaturated agricultural soils. United States Department of Agriculture, 2002. http://dx.doi.org/10.32747/2002.7587239.bard.

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experimental methods for quantifying effects of water content and other dynamic environmental factors on bacterial growth in partially-saturated soils. Towards this end we reviewed critically the relevant scientific literature and performed theoretical and experimental studies of bacterial growth and activity in modeled, idealized and real unsaturated soils. The natural wetting-drying cycles common to agricultural soils affect water content and liquid organization resulting in fragmentation of aquatic habitats and limit hydraulic connections. Consequently, substrate diffusion pathways to soil
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Führ, Martin, Julian Schenten, and Silke Kleihauer. Integrating "Green Chemistry" into the Regulatory Framework of European Chemicals Policy. Sonderforschungsgruppe Institutionenanalyse, 2019. http://dx.doi.org/10.46850/sofia.9783941627727.

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20 years ago a concept of “Green Chemistry” was formulated by Paul Anastas and John Warner, aiming at an ambitious agenda to “green” chemical products and processes. Today the concept, laid down in a set of 12 principles, has found support in various arenas. This diffusion was supported by enhancements of the legislative framework; not only in the European Union. Nevertheless industry actors – whilst generally supporting the idea – still see “cost and perception remain barriers to green chemistry uptake”. Thus, the questions arise how additional incentives as well as measures to address the ba
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