Abstract
We study a model defined on a one-dimensional lattice connected to reservoirs, with diffusive and evaporation/deposition processes depending on three parameters obeying some inequalities. The model can be solved in the sense that all correlation functions can be computed exactly without the use of integrability. We show that there are non-trivial correlations in the system that can not be captured from the mean values of the observables. This can be shown by looking at the analytical expression of the two-point correlation functions, that we provide. Although the model is symmetric in its diffusive rates, it exhibits a left/right asymmetry driven by the evaporation/deposition processes and the boundaries. We also argue that the model can be taken as a one-dimensional model for catalysis or fracturing processes.
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Acknowledgements
We are grateful to E. Bertin, N. Crampé and V. Lecomte for fruitful discussions and comments during the course of this work.
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Communicated by Yariv Kafri.
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Mathieu, F., Ragoucy, E. A Solvable Stochastic Model for One-Dimensional Fracturing or Catalysis Processes. J Stat Phys 190, 163 (2023). https://doi.org/10.1007/s10955-023-03166-8
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DOI: https://doi.org/10.1007/s10955-023-03166-8