Title: The steady state of the boundary-driven multiparticle asymmetric diffusion model Show Chinese title

Title: 边界驱动的多粒子非对称扩散模型的稳态

Abstract: We consider the multiparticle asymmetric diffusion model (MADM) introduced by Sasamoto and Wadati with integrability preserving reservoirs at the boundaries. In contrast to the open asymmetric simple exclusion process (ASEP) the number of particles allowed per site is unbounded in the MADM. Taking inspiration from the stationary measure in the symmetric case, i.e. the rational limit, we first obtain the length 1 solution and then show that the steady state can be expressed as an iterated product of Jackson q-integrals. In the proof of the stationarity condition, we observe a cancellation mechanism that closely resembles the one of the matrix product ansatz. To our knowledge, the occupation probabilities in the steady state of the boundary-driven MADM were not available before. Show Chinese abstract

Abstract: 我们研究了由Sasamoto和Wadati引入的多粒子非对称扩散模型（MADM），并在边界处采用了保持可积性的库。与开放的非对称简单排斥过程（ASEP）不同，在MADM中每个站点允许的粒子数没有上限。受对称情况下稳态测度（即有理极限）的启发，我们首先得到了长度为1的解，然后证明稳态可以表示为Jackson q积分的迭代乘积。在验证平稳条件的证明过程中，我们观察到一种类似于矩阵乘积假设的抵消机制。据我们所知，之前尚未获得驱动边界MADM稳态中的占据概率。