A quantization of interacting particle systems

• URL: http://arxiv.org/abs/2402.00280v2
• Date: Sat, 23 Mar 2024 13:11:15 GMT
• Title: A quantization of interacting particle systems
• Authors: Jirô Akahori, Norio Konno, Rikuki Okamoto, Iwao Sato,
• Abstract summary: We regard the interacting particle system as a Markov chain on a graph. We calculate the absolute zeta function of the quantized model for the Domany-Kinzel model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Interacting particle systems studied in this paper are probabilistic cellular automata with nearest-neighbor interaction including the Domany-Kinzel model. A special case of the Domany-Kinzel model is directed percolation. We regard the interacting particle system as a Markov chain on a graph. Then we present a new quantization of the interacting particle system. After that, we introduce a zeta function of the quantized model and give its determinant expression. Moreover, we calculate the absolute zeta function of the quantized model for the Domany-Kinzel model.

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