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Updated: May 24, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Connecting the microdynamics to the emergent macrovariables: self-organized criticality and absorbing phase
Andrea Giometto1, Henrik Jeldtoft Jensen
1Blackett Laboratory, Department of Physics and Complexity & Networks Group, Imperial College London, London, SW7 2AZ, United Kingdom. andrea.giometto@epfl.ch
Abstract:
We reinvestigate the Deterministic Lattice Gas introduced as a paradigmatic model of the 1/f spectra [Phys. Rev. Lett. 64, 3103 (1990)] arising according to the self-organized criticality scenario. We demonstrate that the density fluctuations exhibit an unexpected dependence on systems size and relate the finding to effective Langevin equations. The low-density behavior is controlled by the critical properties of the gas at the absorbing state phase transition. We also show that the deterministic lattice gas is in the Manna universality class of absorbing state phase transitions. This is in contrast to expectations in the literature that suggested that the entirely deterministic nature of the dynamics would put the model in a different universality class. To our knowledge this is the first fully deterministic member of the Manna universality class.
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