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A quantization of interacting particle systems (pp0210-0226)
Jiro Akahori, Norio Konno, Rikuki Okamoto, and
Iwao Sato
doi:
https://doi.org/10.26421/QIC24.3-4-2
Abstracts:
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.
Key Words:
quantization, interacting particle
system,
Domany-Kinzel
model, absolute zeta function |
