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Book The Convection and Diffusion of Brwonian Particles Within Porous Systems

Download or read book The Convection and Diffusion of Brwonian Particles Within Porous Systems written by Dermot Mary Malone and published by . This book was released on 1977 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Diffusion of Hydrocarbons in Mica Pores

Download or read book Diffusion of Hydrocarbons in Mica Pores written by Charles Lambert Baker and published by . This book was released on 1978 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Anomalous Transport and Diffusion of Brownian Particles on Disordered Landscapes

Download or read book Anomalous Transport and Diffusion of Brownian Particles on Disordered Landscapes written by Marc Suñé Simon and published by . This book was released on 2016 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brownian motion refers to the random movement that undergo mesosized particles suspended in a simple sol- vent. Einstein's probabilistic approach to the Brownian motion is founded on the principal that it is on account of the molecular motions of heat; it can be summarized in three postulates: particles do not to interact with each other, the motion is memoryless at long times, and the distribution of displacements possesses at least two lower moments. According to the Einstein's theory, the displacements of Brownian particles ought to exhibit a Gaussian distribution whose variance is proportional to time through the diffusion coefficient, that involves the temperature and the friction coefficient. May a constant external force be applied, the mean displacement scales linearly with time. This scenario is referred to as normal transport and diffusion. The thesis aims at exploring the deviations of normal transport and diffusion to exhibit Brownian particles in a disordered medium. The method of choice are numerical simulations of the classical Langevin equation, a generalization of Newtonian equations so as to account for the Brownian trajectories. To grasp the influence of the disorder's attributes on Brownian motion is the main focus of the thesis. Further, the outcome sheds light into the physical foundations of the anomalous transport and diffusion. Complementarily, some refinements are made on the algorithms employed to simulate the stochastic differential equations. First, it is reviewed the Brownian motion in a periodic potential. According to the attained outcome, some hypothesis are conjectured for the subsequent explorations in disordered media: transport anomalies--if any-- would be only of subtransport type when the disorder is static, enhanced diffusion and superdiffusion are likely to be reached, and anomalous transport and diffusion regimes might be transient in dynamic landscapes. For overdamped Brownian particles in a disordered static potential, the anomalous regimes are characterized by the time exponents that exhibit the statistical moments of the ensemble of particle trajectories, as well as by the particle displacement distributions and the clouds of particles. This case of study bears out that the length scale of the roughness of the potential is an essential parameter in the understanding of the effect of disorder. Besides, the shape of the particle density histograms and the particle clouds have been proved to be related to the anomalies. The analogous scenario in the underdamped limit leads to the instantaneous velocity distributions, that disclose appealing properties of the system. This case of study proves that the anomalous transport and diffusion regimes occur no matter the damping, yet they come about at higher forces for high friction conditions. Overdamped Brownian motion of particles in random landscapes of moving deformable obstacles is also studied. It is settled an effective set of quantities to portray the transport and diffusion properties. The characteristic time scale constrains the time span of anomalies, and thus the subsequent steady transport and diffusion coefficients. For a given density of obstacles, both trafficking and diffusion are favored by wider and therefore fewer obstacles. To end, a high density of obstacles hinders both transport and dispersion. Algorithms to carry out the numerical simulations are discussed. A novel method to build Gaussian potential landscapes with arbitrary spatial correlation functions and the only requirement of isotropy is developed. It has the particularity that, although it uses the Fourier space, its constraints are in real space. A refreshing architec- ture for simulating random dynamic obstacles is also covered. Finally, two supplementary physical systems are addressed; the physics of particles undergoing changing viscosi- ties and confinement to quasi 2 d layers, and the transport of the motor KIF1A in a two-dimensional ratchet model that mimics a microtubule.

Book COMMON FUNDAMENTALS AND UNIT OPERATIONS IN THERMAL DESALINATION SYSTEMS   Volume II

Download or read book COMMON FUNDAMENTALS AND UNIT OPERATIONS IN THERMAL DESALINATION SYSTEMS Volume II written by and published by EOLSS Publications. This book was released on 2010-11-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes are part of Encyclopedia of Water Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The three volumes present state-of-the art subject matter of various aspects of Common Fundamentals and Unit Operations in Thermal Desalination Systems such as: Conventional Water Treatment Technologies; Guidelines for Potable Water Purification; Advanced Treatment Technologies for Recycle - Reuse of Domestic Wastewater; Composition of Desalinated Water; Crystallization; Deep Bed Filtration: Modeling Theory and Practice; Distillation ; Rectification; Flocculation and Flocculation Filtration; Hazardous Waste Treatment Technologies; Microfiltration and Ultrafiltration; Post-Treatment of Distillate and Permeate; Pre-Cleaning Measures: Filtration; Raw Water Pre-Treatment: Sludge Treatment Technologies; Supercritical Extraction; Potential for Industrial Wastewater Reuse; Treatment of Industrial Wastewater by Membrane Bioreactors; Unconventional Sources of Water Supply; Problem of Non-Condensable Gas Release in Evaporators; Entrainment in Evaporators; Mist Eliminators; Chemical Hazards in Seawater Desalination by the Multistage-Flash Evaporation Technique; Concentration of Liquid Foods; Environmental Impact of Seawater Desalination Plants; Environmental Impacts of Intakes and Out Falls; Industrial Ecology, Water Resources, and Desalination; Rural and Urban Water Supply and Sanitation; Sustainable Development, Water Supply and Sanitation Technology These volumes are aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy and Decision Makers.

Book American Doctoral Dissertations

Download or read book American Doctoral Dissertations written by and published by . This book was released on 1989 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Membrane Separations

Download or read book Handbook of Membrane Separations written by Anil Kumar Pabby and published by CRC Press. This book was released on 2015-04-09 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Membrane Separations: Chemical, Pharmaceutical, Food, and Biotechnological Applications, Second Edition provides detailed information on membrane separation technologies from an international team of experts. The handbook fills an important gap in the current literature by providing a comprehensive discussion of membrane application

Book Handbook of Porous Media

Download or read book Handbook of Porous Media written by Kambiz Vafai and published by CRC Press. This book was released on 2005-03-30 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last three decades, advances in modeling flow, heat, and mass transfer through a porous medium have dramatically transformed engineering applications. Comprehensive and cohesive, Handbook of Porous Media, Second Edition presents a compilation of research related to heat and mass transfer including the development of practical applications

Book Macrotransport Processes

Download or read book Macrotransport Processes written by Howard Brenner and published by Elsevier. This book was released on 2013-10-22 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book, the first published on the subject, provides an introduction to the theory of macrotransport processes, a comprehensive effective-medium theory of transport phenomena in heterogeneous systems. The text begins with a relatively simple approach to the basic theory before turning to a more formal theoretical treatment which is extended in scope in each successive chapter. Many detailed examples, as well as questions appearing at the end of each chapter, are included to demonstrate the practical implementation of the theory. Macrotransport Processes is aimed at an audience already familiar with conventional theories of transport phenomena. This audience especially includes graduate students in chemical, mechanical, and civil engineering departments, as well as applied mathematicians, biomechanicists, and soil physics, particularly those with interests in problems of flow and dispersion in porous media.

Book Modelling of Pollutants in Complex Environmental Systems

Download or read book Modelling of Pollutants in Complex Environmental Systems written by Grady Hanrahan and published by ILM Publications. This book was released on 2010 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental modelling has enjoyed a long tradition, but there is a defined need to continually address both the power and the limitations of such models, as well as their quantitative assessment. This book showcases modern environmental modelling methods, the basic theory behind them and their incorporation into complex environmental investigations. It highlights advanced computing technologies and how they have led to unprecedented and adaptive modelling, simulation and decision-support tools to study complex environmental systems, and how they can be applied to current environmental concerns. This volume is essential reading for researchers in academia, industry and government-related bodies who have a vested interest in all aspects of environmental modelling. Features include: A range of modern environmental modelling techniques are described by experts from around the world, including the USA, Canada, Australia, Europe and Thailand; many examples from air, water, soil/sediment and biological matrices are covered in detail throughout the book; key chapters are included on modelling uncertainty and sensitivity analysis; and, a selection of figures are provided in full colour to enable greater comprehension of the topics discussed.

Book The k dependence of the long time diffusion in system of interacting Brownian particles

Download or read book The k dependence of the long time diffusion in system of interacting Brownian particles written by Friedrich Grüner and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Competing Brownian Particles

Download or read book Competing Brownian Particles written by Andrey Sarantsev and published by . This book was released on 2015 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider a finite system of N Brownian particles on the real line. Rank them from bottom to top: the (currently) lowest particle has rank 1, the second lowest has rank 2, etc., up to the top particle, which has rank N. The particle which has (currently) rank k moves as a Brownian motion with drift coefficient gk and diffusion coefficient [sigma]k^2. When two or more particles collide, they might exchange ranks; in this case, they exchange drift and diffusion coefficients. This model is called a system of competing Brownian particles. It was introduced in Banner, Fernholz, Karatzas (2005) for the purpose of financial modeling. Since then, it attracted a considerable amount of attention. We can also consider infinite systems of competing Brownian particles (with the lowest particle but no highest particle, that is, with ranks ranging from 1 to infinity). For both finite and infinite systems, the gap process is formed by the spacings (gaps) between adjacent particles. It is (N-1)-dimensional for a finite system with N particles and infinite-dimensional for an infinite system. We say that a triple collision has occurred if three or more particles occupy the same position at the same time. In this thesis, we prove several new results about these systems. In particular, we establish convergence results for the gap process of infinite systems, building on the work of Pal, Pitman (2008); and we find a necessary and sufficient condition for a.s. absence of triple collisions, continuing the research from Ichiba, Karatzas, Shkolnikov (2013).

Book Complexity in Biological and Physical Systems

Download or read book Complexity in Biological and Physical Systems written by Ricardo Lopez-Ruiz and published by BoD – Books on Demand. This book was released on 2018-05-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and simulating biological and physical systems are nowadays active branches of science. The diversity and complexity of behaviors and patterns present in the natural world have their reciprocity in life systems. Bifurcations, solitons and fractals are some of these ubiquitous structures that can be indistinctively identified in many models with the most diverse applications, from microtubules with an essential role in the maintenance and the shaping of cells, to the nano/microscale structure in disordered systems determined with small-angle scattering techniques. This book collects several works in this direction, giving an overview of some models and theories, which are useful for the study and analysis of complex biological and physical systems. It can provide a good guidance for physicists with interest in biology, applied research scientists and postgraduate students.

Book The Ultrafiltration of Polyelectrolytes

Download or read book The Ultrafiltration of Polyelectrolytes written by Lawrence Paul Zestar and published by . This book was released on 1977 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Flow and Transport in Porous Media and Fractured Rock

Download or read book Flow and Transport in Porous Media and Fractured Rock written by Muhammad Sahimi and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: