Relativistic L\'evy processes
| Autor: | de Souza, Lucas G. B., da Luz, M. G. E., Raposo, E. P., Curado, Evaldo M. F., Viswanathan, G. M. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this contribution, we investigate how to correctly describe sums of independent and identically distributed random velocities in the theory of special relativity. We derive a one-dimensional probability distribution of velocities stable under relativistic velocity addition. In a given system, this allows identifying distinct physical regimes in terms of the distribution's concavity at the origin and the probability of measuring relativistic velocities. These features provide a protocol to assess the relevance of stochastic relativistic effects in actual experiments. As examples, we find agreement with previous results about heavy-ion diffusion and show that our findings are consistent with the distribution of momentum deviations observed in measurements of antiproton cooling. Comment: 13 pages, 7 figures. Submitted to Physical Reiview E |
| Databáze: | arXiv |
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