2003/12/16 by Christian Beck, C. Beck, E. G. D. Cohen · 4 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #cond-mat.stat-mech #thermodynamics and calorimetric analyses
paper · pdf · doi:10.1016/j.physa.2004.06.001
13 pages. Contribution to the Proceedings of `Trends and Perspectives in Extensive and Nonextensive Statistical Mechanics', in honour of Constantino Tsallis' 60th birthday (to appear in Physica A)
arxiv created 2003/12/16 · openalex publication_date 2004/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a generalized version of the work fluctuation theorem for nonequilibrium systems with spatio-temporal temperature fluctuations. For chi-square distributed inverse temperature we obtain a generalized fluctuation theorem based on q-exponentials, whereas for other temperature distributions more complicated formulae arise. Since q-exponentials have a power law decay, the decay rate in this generalized fluctuation theorem is much slower than the conventional exponential decay. This implies that work fluctuations can be of relevance for the design of micro and nano structures, since the work done on the system is relatively much larger than in the conventional fluctuation theorem.