{"title":"Muhammad Sahimi","description":null,"products":[{"product_id":"complex-media-and-percolation-theory-book-muhammad-sahimi-9781071614563","title":"Complex Media and Percolation Theory","description":"Percolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the path is formed is called the percolation threshold. Percolation theory also predicts that many macroscopic properties of complex media follow universal power laws near the percolation threshold that are independent of many microscopic features of such media.\u003cbr\u003eThere are many applications of percolation theory across the natural sciences, from porous materials, to composite solids, complex networks, and biological systems. This book presents the essential elements of percolation theory, covers the problem of calculating the exponents that characterize the power laws that the percolation quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featured, which expand the range of natural systems to which percolation may be applicable. In addition, coverage includes several important applications of percolation theory to a range of phenomena, ranging from electrical conductivity, thermopower, the Hall effect, and photoconductivity of disordered semiconductors, to flow, transport and reaction in porous media, geochemistry, biology, and ecology.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51101149364497,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51101153984785,"sku":"NIN9781071614563","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1071614568.jpg?v=1786027569"},{"product_id":"heterogeneous-materials-i-book-muhammad-sahimi-9780387001678","title":"Heterogeneous Materials I","description":"4 Derivation of Elastic Networks from Continuum Elasticity 8. 6 Rigidity Percolation 8. 5 Mapping between rigidity percolation and resistor networks 8. 6 Nature of phase transition in rigidity percolation 8. 8 The Critical Path Method 8. 11 Elastic Percolation Networks with Bond-Bending Forces 8.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52121333367057,"sku":"NLS9780387001678","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387001678.jpg?v=1786107632"},{"product_id":"heterogeneous-materials-i-book-muhammad-sahimi-9781475778519","title":"Heterogeneous Materials I","description":"8. Rigidity and Elastic Properties: The Discrete Approach 8. 0 Introduction 8. 1 Elastic Networks in Biological Materials 8. 2 Number of Elastic Moduli of a Lattice 8. 3 Numerical Simulation and Finite-Size Scaling 8. 4 Derivation of Elastic Networks from Continuum Elasticity 8. 4. 1 The Born model 8. 4. 2 Shortcomings of the Born model 8. 5 The Central-Force Network 8. 6 Rigidity Percolation 8. 6. 1 Static and dynamic rigidity and ?oppiness of networks 8. 6. 2 The correlation length of rigidity percolation 8. 6. 3 The force distribution 8. 6. 4 Determination of the percolation threshold 8. 6. 4. 1 Moments of the force distribution 8. 6. 4. 2 The pebble game 8. 6. 4. 3 Constraint-counting method 8. 6. 5 Mapping between rigidity percolation and resistor networks 8. 6. 6 Nature of phase transition in rigidity percolation 8. 6. 7 Scaling properties of the elastic moduli 8. 7 Green Function Formulation and Perturbation Expansion 8. 7. 1 E?ective-medium approximation 8. 7. 2 The Born model 8. 7. 3 Rigidity percolation 8. 8 The Critical Path Method 8. 9 Central-Force Networks at Non-zero Temperature and under Stress 8. 10 Shortcomings of the Central-Force Networks 8. 11 Elastic Percolation Networks with Bond-Bending Forces 8. 11. 1 The Kirkwood-Keating model xiv 8. 11. 2 The bond-bending model 8. 11. 3 The percolation thresholds 8. 11. 4 The force distribution 8. 11. 5 Comparison of the central-force and bond-bending networks 8. 11.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52126299029777,"sku":"NLS9781475778519","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781475778519.jpg?v=1757475100"},{"product_id":"heterogeneous-materials-book-muhammad-sahimi-9780387001661","title":"Heterogeneous Materials","description":"Disorder plays a fundamental role in many natural and man-made systems that are of industrial and scienti?c importance. Of all the disordered systems, hete- geneous materials are perhaps the most heavily utilized in all aspects of our daily lives, and hence have been studied for a long time. With the advent of new - perimental techniques, it is now possible to study the morphology of disordered materials and gain a much deeper understanding of their properties. Novel te- niqueshavealsoallowedustodesignmaterialsofmorphologieswiththeproperties that are suitable for intended applications. With the development of a class of powerful theoretical methods, we now have the ability for interpreting the experimental data and predicting many properties of disordered materials at many length scales. Included in this class are ren- malization group theory, various versions of effective-medium approximation, percolation theory, variational principles that lead to rigorous bounds to the - fective properties, and Green function formulations and perturbation expansions. Thetheoreticaldevelopmentshavebeenaccompaniedbyatremendousincreasein the computational power and the emergence of massively parallel computational strategies. Hence, we are now able to model many materials at molecular scales and predict many of their properties based on ?rst-principle computations.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52478306287889,"sku":"NLS9780387001661","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52735241421073,"sku":"NIN9780387001661","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387001661.jpg?v=1786614415"},{"product_id":"heterogeneous-materials-book-muhammad-sahimi-9781441918048","title":"Heterogeneous Materials","description":"Disorder plays a fundamental role in many natural and man-made systems that are of industrial and scienti?c importance. Of all the disordered systems, hete- geneous materials are perhaps the most heavily utilized in all aspects of our daily lives, and hence have been studied for a long time. With the advent of new - perimental techniques, it is now possible to study the morphology of disordered materials and gain a much deeper understanding of their properties. Novel te- niqueshavealsoallowedustodesignmaterialsofmorphologieswiththeproperties that are suitable for intended applications. With the development of a class of powerful theoretical methods, we now have the ability for interpreting the experimental data and predicting many properties of disordered materials at many length scales. Included in this class are ren- malization group theory, various versions of effective-medium approximation, percolation theory, variational principles that lead to rigorous bounds to the - fective properties, and Green function formulations and perturbation expansions. Thetheoreticaldevelopmentshavebeenaccompaniedbyatremendousincreasein the computational power and the emergence of massively parallel computational strategies. Hence, we are now able to model many materials at molecular scales and predict many of their properties based on ?rst-principle computations.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481115783441,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481117061393,"sku":"NLS9781441918048","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441918048.jpg?v=1759851251"},{"product_id":"applications-of-percolation-theory-book-muhammad-sahimi-9783031203855","title":"Applications of Percolation Theory","description":"The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition  been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.\u003cbr\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52681932046609,"sku":"NLS9783031203855","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031203855.jpg?v=1786615479"},{"product_id":"artificial-intelligence-in-science-and-engineering-2-volume-set-book-muhammad-sahimi-9783527355068","title":"Artificial Intelligence in Science and Engineering, 2 Volume Set","description":"\u003cp\u003e\u003cb\u003eApply AI and ML to solve complex problems across sciences\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eMany problems in physics, engineering, and applied sciences resist traditional modeling approaches. \u003ci\u003eArtificial Intelligence in Science and Engineering: From Porous Materials to Drug Discovery\u003c\/i\u003e presents AI and ML methods for tackling otherwise unsolvable problems in complex systems. Written by Muhammad Sahimi, who brings over 40 years of research experience to the topic, this reference spans multiple scientific domains. \u003c\/p\u003e\u003cp\u003eThe book covers AI and ML applications in hydrodynamics, porous media characterization, molecular dynamics simulation, and biological phenomena including protein folding. It addresses environmental applications and drug discovery, connecting computational methods with domain-specific challenges in fluid dynamics, materials science, and biology. Readers gain access to methods that model, predict, and optimize processes difficult to approach through conventional techniques. \u003c\/p\u003e\u003cp\u003eReaders will also find: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eDetailed treatment of AI and ML approaches applied to complex systems in fluid dynamics and porous media research\u003c\/li\u003e\n\u003cli\u003eCoverage of molecular dynamics applications where machine learning accelerates simulation and prediction of material properties\u003c\/li\u003e\n\u003cli\u003eMethods for protein folding prediction and drug discovery leveraging current artificial intelligence and computational biology techniques\u003c\/li\u003e\n\u003cli\u003eEnvironmental science applications demonstrating how AI-driven modeling addresses problems resistant to traditional analytical methods\u003c\/li\u003e\n\u003cli\u003eCross-disciplinary frameworks connecting physics, engineering, materials science, and biology through unified computational approaches\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003ePhysicists, materials scientists, engineers, computer scientists, and computational biologists will find this volume a substantive reference for applying AI and ML across their research domains. 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