Statistical mechanics in engineering

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Thermodynamics is widely applied in engineering, but certain complex problems require the use of statistical mechanics for a deeper understanding. In fields like electronics component design, statistical mechanics can provide insights that thermodynamics alone cannot. This is particularly relevant when dealing with systems at the microscopic level, where statistical methods are essential for predicting behavior. The discussion highlights the limitations of thermodynamics in addressing specific engineering challenges. Overall, statistical mechanics plays a crucial role in enhancing the analysis and design of advanced engineering systems.
ShayanJ
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There are some applications of thermodynamics in engineering which I don't bother to talk about. What I want to ask is, are there any problems in engineering for which thermodynamics is not enough and people have to use statistical mechanics?
Thanks
 
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Then there's electronics component design.
 
What mathematics software should engineering students use? Is it correct that much of the engineering industry relies on MATLAB, making it the tool many graduates will encounter in professional settings? How does SageMath compare? It is a free package that supports both numerical and symbolic computation and can be installed on various platforms. Could it become more widely used because it is freely available? I am an academic who has taught engineering mathematics, and taught the...

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