TASEP with discontinuous jump rates
TASEP with discontinuous jump rates
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具有不连续跳跃率的 TASEP
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
T. Seppalainen
中科院分区：
文献类型：
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作者：
N. Georgiou;Rohini Kumar;T. Seppalainen
我们证明了具有空间非均匀跳跃率的完全不对称简单排斥过程的流体力学极限，该过程由一个允许间断的速度函数给出。极限密度分布用变分公式描述。这个公式使我们能够计算出显式的密度分布，即使我们没有关于该过程的不变分布的信息。
在两相磁通的情况下，适当的P.D.E.理论已经发展，我们还观察到极限轮廓是相应的具有不连续速度函数的标量守恒律的熵解。
We prove a hydrodynamic limit for the totally asymmetric simple exclusion process with spatially inhomogeneous jump rates given by a speed function that may admit discontinuities. The limiting density profiles are described with a variational formula. This formula enables us to compute explicit density profiles even though we have no information about the invariant distributions of the process.
In the case of a two-phase flux for which a suitable p.d.e. theory has been developed we also observe that the limit profiles are entropy solutions of the corresponding scalar conservation law with a discontinuous speed function.