Stochastic Approaches to Electron Transport in Micro- and Nanostructures

This book explores the relationship between mathematical models and stochastic methods in simulating current transport, particularly in micro- and nanostructures.

The book serves as a vital connection between the development of mathematical models and the rise of stochastic (Monte Carlo) methods for simulating current transport in electronic devices. It provides a comprehensive overview of the historical evolution of models, tracing the journey from classical charge carrier transport concepts in microelectronics to the more advanced quantum-based approaches used in nanoelectronics today.

In Stochastic Approaches to Electron Transport in Micro- and Nanostructures, the author elucidates various solution methods, starting from early phenomenological single particle algorithms that are applicable under stationary homogeneous physical conditions. As the discussion progresses, the text delves into the complex algorithms necessary for quantum transport, which involve particle generation and annihilation. This progression highlights the increasing sophistication required to accurately model electron transport as technology advances.

By bridging the gap between theoretical frameworks and practical applications, this book appeals to both researchers and practitioners. It addresses the need for understanding the physical aspects of models alongside their theoretical underpinnings, making it a valuable resource for those involved in the study and application of stochastic solutions related to Fredholm integral equations. Overall, Stochastic Approaches to Electron Transport in Micro- and Nanostructures offers a thorough exploration of its subject matter, making it an essential read for anyone interested in the field.