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We consider the TASEP on Z with two blocks of particles having different jump rates.
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Current fluctuations for the totally asymmetric simple exclusion process
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H. Spohn, Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals , Physica A 369
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A. Borodin, P.L. Ferrari, and M. Prähofer, Fluctuations in the discrete TASEP with periodic initial configurations and the Airy 1 process , Int. Math. Res. Papers 2007
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A. Borodin, P.L. Ferrari, M. Prähofer, and T. Sasamoto, Fluctuation properties of the TASEP with periodic initial configuration , J. Stat. Phys. 129
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T. Imamura and T. Sasamoto, Dynamical properties of a tagged particle in the totally asymmetric simple exclusion process with the step-type initial condition , J. Stat. Phys. 128
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T. Sasamoto, Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques , J. Stat. Mech. (2007), P07007
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A. Borodin and P.L. Ferrari, Large time asymptotics of growth models on space-like paths I: PushASEP , Electron. J. Probab. 13
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A. Borodin, P.L. Ferrari, and T. Sasamoto, Transition between Airy 1 and Airy 2 processes and TASEP fluctuations , Comm. Pure Appl. Math. 61
2008
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2008
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2008
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C.A. Tracy and H. Widom, Integral Formulas for the Asymmetric Simple Exclusion Process , Comm. Math. Phys. 279
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2009
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B. Derrida and A. Gerschenfeld, Current Fluctuations of the One Dimensional Symmetric Exclusion Process with a Step Initial Condition , J. Stat. Phys. 136
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