"Simple exclusion process"의 두 판 사이의 차이
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| + | Bethe Ansatz and Exclusion Processes http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=39328&date=2011-02-01 | ||
Stochastic growth models in the plane | Stochastic growth models in the plane | ||
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Consider the rescaling | Consider the rescaling | ||
| − | h^{\epsion}(x,t)=\epsilon h(\frac{x}{\epsilon},\frac{ | + | h^{\epsion}(x,t)=\epsilon h(\frac{x}{\epsilon},\frac{t}{\epsilon}) |
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| + | Then we expect to have | ||
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| + | After some scaling argument, one may use KPZ equation to justify \epsilon^{2/3} as the order og the fluctua | ||
2011년 2월 2일 (수) 09:29 판
introduction
- Heisenberg spin chain model
- can be viewed as a exclusion process (time evolution)
Bethe Ansatz and Exclusion Processes http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=39328&date=2011-02-01
Stochastic growth models in the plane
For aimple case, consider a graph of a random height function h.
Consider the rescaling
h^{\epsion}(x,t)=\epsilon h(\frac{x}{\epsilon},\frac{t}{\epsilon})
Then we expect to have
After some scaling argument, one may use KPZ equation to justify \epsilon^{2/3} as the order og the fluctua
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