Two Speed TASEP
Abstract
We consider the TASEP on Z with two blocks of particles having different jump rates. We study the large time behavior of particles' positions. It depends both on the jump rates and the region we focus on, and we determine the complete process diagram. In particular, we discover a new transition process in the region where the influence of the random and deterministic parts of the initial condition interact. Slow particles may create a shock, where the particle density is discontinuous and the distribution of a particle's position is asymptotically singular. We determine the diffusion coefficient of the shock without using second class particles. We also analyze the case where particles are effectively blocked by a wall moving with speed equal to their intrinsic jump rate.
Additional Information
© 2009 Springer Science+Business Media, LLC. Received: 9 May 2009 Accepted: 17 September 2009 Published online: 16 October 2009. Borodin was partially supported by NSF grant DMS-0707163. The work of Sasamoto was partially supported by the Grant-in-Aid for Young Scientists (B), the Ministry of Education, Culture, Sports, Science and Technology, JapanAttached Files
Submitted - 0904.4655.pdf
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Additional details
- Eprint ID
- 17183
- Resolver ID
- CaltechAUTHORS:20100114-131329163
- DMS-0707163
- NSF
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Created
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2010-01-21Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field