Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 44, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/44/30/305001
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Funding
- Alexander-von-Humboldt foundation
- Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division and Chemical Sciences, Geosciences, and Biosciences Division of the US Department of Energy [DE-AC02-05CH11231]
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We study the work distribution of a single particle moving in a harmonic potential with time-dependent strength. This simple system has a non-Gaussian work distribution with exponential tails. The time evolution of the corresponding moment generating function is given by two coupled ordinary differential equations that are solved numerically. Based on this result we study the behavior of the work distribution in the limit of slow but finite driving and show that it approaches a Gaussian distribution arbitrarily well.
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