The role of extensive variables in nanoscience

John E. Gray; Francisco Santiago

doi:10.1117/12.850674

12 April 2010 The role of extensive variables in nano-science

John E. Gray, Francisco Santiago

Proceedings Volume 7703, Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering VIII; 77030K (2010) https://doi.org/10.1117/12.850674
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

Abstract

We discuss the principle of superposition relative to the definition of extensivity in thermodynamics and discuss how it can be extended to systems that do not obey the linear principle of superposition. This leads to the concept of generalized superposition, of which, there are multiple types defined in the paper. Generalized superposition can be used to explore the breakdown of linearity at the nano-scale, which leads to deeper understanding of nano-materials and nano-thermodynamics.

Citation Download Citation

John E. Gray and Francisco Santiago "The role of extensive variables in nano-science", Proc. SPIE 7703, Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering VIII, 77030K (12 April 2010); https://doi.org/10.1117/12.850674

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