2005/08/30 by D. H. E. Gross, Gross, D. H. E.
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0508721
2 pages, no figure
arxiv created 2005/08/30 · arxiv updated 2009/12/01
Simple example: During the sudden expansion of an isolated ideal gas from a small volume V0 into a larger one V1, the entropy changes by Delta S= N ln(V1/V0)=-beta Delta F>0 but no work W is produced nor absorbed. Consequently, Jarzynski's identity <exp(-beta W)>= exp(-beta Delta F) is wrong.