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Lorentz symmetry of subdynamics in relativistic systems

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  • Ben-Ya'acov, Uri

Abstract

The subdynamics theory, developed to describe the non-equilibrium evolution of large non-integrable systems is extended to systems obeying Lorentz symmetry. The subdynamics decomposition is shown to be Lorentz covariant, thus reflecting an intrinsic property of the system. The Lorentz-symmetric subdynamic scheme includes 10 exact kinetic equations, which generate a representation of the Poincaré-Lorentz transformations in any degree-of-correlations subspace of the Liouville-space (of density functions or matrices). Separating the internal evolution of the system from its global motion, the relativistic law of life- or decay-time transformation is verified.

Suggested Citation

  • Ben-Ya'acov, Uri, 1995. "Lorentz symmetry of subdynamics in relativistic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 307-329.
    • Handle: RePEc:eee:phsmap:v:222:y:1995:i:1:p:307-329
    DOI: 10.1016/0378-4371(95)00285-5
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    References listed on IDEAS

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    1. Petrosky, T. & Prigogine, I., 1991. "Alternative formulation of classical and quantum dynamics for non-integrable systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 146-209.
    2. Petrosky, T.Y. & Hasegawa, H., 1989. "Subdynamics and nonintegrable systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 351-385.
    3. Petrosky, Tomio Y. & Prigogine, Ilya, 1988. "Poincaré's theorem and unitary transformations for classical and quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(3), pages 439-460.
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