Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates

Abstract

Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z. From this we derive a determinant expression for the time-integrated current for a step-function initial state.

14 pages

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Cited by in corpus (14)

• Fluctuation properties of the TASEP with periodic initial configuration
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• Current fluctuations in the zero-range process with open boundaries
• Determinant solution for the Totally Asymmetric Exclusion Process with parallel update
• Determinantal transition kernels for some interacting particles on the line
• Equivalent T-Q relations and exact results for the open TASEP
• The transition probability and the probability for the left-most particle's position of the q-TAZRP
• Series Jackson networks and non-crossing probabilities
• KPZ fluctuations in finite volume
• Self-duality and shock dynamics in the $n$-component priority ASEP
• Large time asymptotics of growth models on space-like paths I: PushASEP
• A combinatorial solution for the current fluctuations in the exclusion process
• Parameter Permutation Symmetry in Particle Systems and Random Polymers
• Integrability of the multi-species TASEP with species-dependent rates