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The Physics Behind Nanotechnology & Mathematical Modelling

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Release : 2023-10-07
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Kind : eBook
Book Rating : 267/5 ( reviews)

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Book Synopsis The Physics Behind Nanotechnology & Mathematical Modelling by : Christopher Oluwatobi Adeogun

Download or read book The Physics Behind Nanotechnology & Mathematical Modelling written by Christopher Oluwatobi Adeogun. This book was released on 2023-10-07. Available in PDF, EPUB and Kindle. Book excerpt: Nanotechnology is a multidisciplinary field that involves the manipulation and control of matter at the nanoscale, typically ranging from 1 to 100 nanometers. At this scale, the properties of materials can significantly differ from their bulk counterparts, leading to unique and enhanced functionalities. The physics behind nanotechnology encompasses various principles and phenomena that govern the behavior of matter at the nanoscale. In this book, we can see how these principles help explain phenomena related to heat transfer, phase transitions, and fluctuations at the nanoscale. Understanding these principles is crucial for designing and optimizing nanoscale devices and systems. One of the fundamental concepts in nanotechnology is quantum mechanics. Quantum mechanics describes the behavior of particles at the atomic and subatomic levels. It provides a framework for understanding phenomena such as wave-particle duality, quantization of energy levels, and tunneling. In nanotechnology, quantum mechanics plays a crucial role in explaining the electronic properties of nanomaterials. Mathematical modelling plays a vital role in understanding and predicting the behavior of nanoscale systems. It provides a quantitative framework for describing complex phenomena and optimizing device performance. Mathematical models in nanotechnology often involve differential equations, statistical methods, and computational simulations.It is crucial for understanding the mechanical properties of nanomaterials. Models based on continuum mechanics, such as elasticity theory and plasticity theory, can predict the behavior of nanomaterials under different loading conditions. These models help in designing materials with desired mechanical properties and optimizing their performance. Mathematical models also aid in the design and optimization of nanoscale devices such as sensors, transistors, and solar cells. By simulating device behavior using mathematical models, researchers can optimize device parameters to achieve desired performance characteristics.

Mathematics and Physics for Nanotechnology

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Release : 2019-02-05
Genre : Science
Kind : eBook
Book Rating : 949/5 ( reviews)

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Book Synopsis Mathematics and Physics for Nanotechnology by : Paolo Di Sia

Download or read book Mathematics and Physics for Nanotechnology written by Paolo Di Sia. This book was released on 2019-02-05. Available in PDF, EPUB and Kindle. Book excerpt: Nanobiotechnology is a new interdisciplinary science with revolutionary perspectives arising from the fact that at nanosize the behaviour and characteristics of matter change with respect to ordinary macroscopic dimensions. Nanotechnology is a new way for producing and getting materials, structures and devices with greatly improved or completely new properties and functionalities. This book provides an introductory overview of the nanobiotechnology world along with a general technical framework about mathematical modelling through which we today study the phenomena of charge transport at the nanometer level. Although it is not a purely mathematics or physics book, it introduces the basic mathematical and physical notions that are important and necessary for theory and applications in nanobiotechnology. Therefore, it can be considered an extended formulary of basic and advanced concepts. It can be the starting point for discussions and insights and can be used for further developments in mathematical–physical modelling linked to the nanobiotechnology world. The book is dedicated to all those who follow their ideas in life and pursue their choices with determination and firmness, in a free and independent way.

Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

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Release : 2018-06-20
Genre : Mathematics
Kind : eBook
Book Rating : 99X/5 ( reviews)

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Book Synopsis Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications by : Luis L. Bonilla

Download or read book Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications written by Luis L. Bonilla. This book was released on 2018-06-20. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description. Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale. The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified. The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

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Release : 2020-10-08
Genre : Technology & Engineering
Kind : eBook
Book Rating : 939/5 ( reviews)

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Book Synopsis Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields by : Jan Awrejcewicz

Download or read book Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields written by Jan Awrejcewicz. This book was released on 2020-10-08. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

Applied Mathematical Models and Experimental Approaches in Chemical Science

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Release : 2016-11-03
Genre : Mathematics
Kind : eBook
Book Rating : 972/5 ( reviews)

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Book Synopsis Applied Mathematical Models and Experimental Approaches in Chemical Science by : Vladimir Ivanovitch Kodolov

Download or read book Applied Mathematical Models and Experimental Approaches in Chemical Science written by Vladimir Ivanovitch Kodolov. This book was released on 2016-11-03. Available in PDF, EPUB and Kindle. Book excerpt: This new book focuses on nanomaterial development as well as investigations of combustion and explosion processes. It presents valuable information on the modeling of processes and on quantum chemical calculations and leading-edge research from around the world in this dynamic field, focusing on concepts above formal experimental techniques and theoretical methods of chemical physics for micro- and nanotechnologies. Also presented are non-linear kinetic appearances and their possible applications.

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