Generation of arbitrary probability distributions from chaotic dynamics.
basic_science · Level V
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- Record sourced from PubMed, PMID 34781541.
- Also identified by DOI 10.1103/PhysRevE.104.044212.
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Abstract
A framework is developed to derive nonlinear dynamical systems that chaotically generate arbitrary multivariate probability distributions with smooth, deterministic trajectories. The ideas are used to extend the Nosé-Hoover thermostat methodology to three-dimensional cases where the momentum distribution is nonisotropic and/or non-Gaussian. Toy models that generate several well-known distributions in physics are given as pedagogical examples.