Arcsine Laws in Stochastic Thermodynamics
Arcsine Laws in Stochastic Thermodynamics
- Event time: 11:30am until 12:30pm
- Event date: 16th November 2018
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
We show that the fraction of time that a thermodynamic current spends above its average value follows
the arcsine law, a prominent result obtained by Levy for Brownian motion. Stochastic currents with long
streaks above or below their average are much more likely than those that spend similar fractions of time
above and below their average. Our result is confirmed with experimental data from a Brownian Carnot
engine. We also conjecture that two other random times associated with currents obey the arcsine law: the
time a current reaches its maximum value and the last time a current crosses its average value. These results
apply to, inter alia, molecular motors, quantum dots, and colloidal systems.
Event resources
About Condensed Matter journal club
Given the diversity of research in the CM group, chosen topics vary widely. We tend to stick to high-impact journals - Nature, Science, PNAS and PRL have been popular - but this is not prescriptive..