Totally Asymmetric Exclusion Process
نویسندگان
چکیده
The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz. From the properties of the algebra generated by the local jump operators, we construct explicitly the hierarchy of operators that commute with the Markov operator. The transfer matrix, which is the generating function of these operators, is shown to represent a discrete Markov process with long-range jumps. We give a general combinatorial formula for the connected operators obtained by taking the logarithm of the transfer matrix. This formula is proved using a symbolic calculation program for the first ten connected operators.
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