Computers and Mathematics with Applications
Matter, conceptually classified into fluids and solids, can be completely described by the microscopic physics of its constituent atoms or molecules. However, for most engineering applications a macroscopic or continuum description has usually been sufficient, because of the large disparity between the spatial and temporal scales relevant to these applications and the scales of the underlying molecular dynamics. In this case, the microscopic physics merely determines material properties such as the viscosity of a fluid or the elastic constants of a solid. These material properties cannot be derived within the macroscopic framework, but the qualitative nature of the macroscopic dynamics is usually insensitive to the details of the underlying microscopic interactions.
Original Publication Citation
Zheng, C. G., Lu, J. D., Guo, Z. L., Luo, L. S., & Krafczyk, M. (2011). Mesoscopic methods in engineering and science. Computers and Mathematics with Applications, 61(12), 3401-3403. doi:10.1016/j.camwa.2011.04.041
Zheng, Chuguang; Lu, Jiding; Guo, Zhaoli; Luo, Li-Shi; and Krafczyk, Manfred, "Mesoscopic Methods in Engineering and Science" (2011). Mathematics & Statistics Faculty Publications. 45.