"Simple exclusion process"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
| 86번째 줄: | 86번째 줄: | ||
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5> | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5> | ||
| − | + | * Johansson, Kurt. 2000. Shape Fluctuations and Random Matrices. Communications in Mathematical Physics 209, no. 2 (2): 437-476. doi:[http://dx.doi.org/10.1007/s002200050027 10.1007/s002200050027]. <br> <br> | |
| − | |||
* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
* http://www.zentralblatt-math.org/zmath/en/ | * http://www.zentralblatt-math.org/zmath/en/ | ||
2011년 2월 9일 (수) 09:43 판
introduction
- Bethe Ansatz and Exclusion Processes [1]http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=39328&date=2011-02-01
- exclusion rule forbids to have more than one particle per site
- The simple exclusion process is a model of a lattice gas with an exclusion principle
- a particle can move to a neighboring site, with probability p to right and probability q to left, only if this is empty.
symmetric exclusion process p=q=1/2
particles jumping from left ro right or from right ro left with given probabilityes p and q (p+q=1)
x(t)=(x_1,\cdots,x_N)
G(x,t) = probability (x(t)=x | x(0) is distributed according to g(x) )
\frac{d}{dt}G(x,t)= L^{*}G
G(x,0)=\mathbf{1}(x=y)
Bethe ansatz
- Heisenberg spin chain model can be viewed as a exclusion process (time evolution)
history
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Golinelli, Olivier, and Kirone Mallick. 2006. The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics. Journal of Physics A: Mathematical and General 39, no. 41 (10): 12679-12705. doi:10.1088/0305-4470/39/41/S03.
articles
- Johansson, Kurt. 2000. Shape Fluctuations and Random Matrices. Communications in Mathematical Physics 209, no. 2 (2): 437-476. doi:10.1007/s002200050027.
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field