论文标题
经过修改的注射条件的开链上的广义tasep
Generalized TASEP on open chains with a modified injection condition
论文作者
论文摘要
我们在这里报告了我们在开放式轨道上对新版本的广义完全不对称的简单排除过程(GTASEP)的新版本进行的初步结果。在GTASEP中,除了标准tasep中存在的硬核排除外,还考虑了粒子之间的附加相互作用。除了标准跳跃概率p之外,它是通过引入第二跳的概率$ p_m $来建模的,该粒子属于同一群集,现在仅适用于单个粒子和群集的头(最右)粒子。我们简要描述如何通过修改左侧(注入)边界条件来获得GTASEP的分析解决版本。与先前研究的版本的GTASEP在开放式轨道上进行了简短的比较。
We report here our preliminary results in the study of a new version of the generalized Totally Asymmetric Simple Exclusion process (gTASEP) on open tracks. In the gTASEP an additional interaction between the particles is considered, besides the hard-core exclusion, which exists in the standard TASEP. It is modeled by the introduction of a second hopping probability $p_m$ for the particles, belonging to the same cluster, in addition to the standard hopping probability p, which now applies only for single particles and the head (rightmost) particle of a cluster. We briefly describe how one can obtain analytically solvable version of gTASEP by modifying the left (injection) boundary condition. A short comparison is made with the previously studied version of gTASEP on open tracks.