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Consistent implementation of non-zero-range terms into hydrodynamics

2017/06/30 by Scott Pratt
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Critical point (mathematics) #Heavy ion #High-Energy Particle Collisions Research #High-pressure geophysics and materials #Ion #Materials science #Mathematical analysis #Mathematics #Mechanics #Motion (physics) #Physics #Quantum mechanics #Range (aeronautics) #Statistical physics #Temperature gradient #Thermal #Thermodynamics #Zero (linguistics) #Zero temperature #nucl-th

paper · pdf · doi:10.1103/physrevc.96.044903

published as Phys. Rev. C 96, 044903 (2017) · Fixed typos in Eq.s, added references

openalex created_date 2017/06/23 · arxiv created 2017/08/17 · openalex publication_date 2017/10/12 · arxiv updated 2017/10/18 · openalex updated_date 2026/08/05

Abstract

As the hot and dense matter created in relativistic heavy-ion collisions expands and cools, theory must accurately treat its thermodynamic properties as well as its transport behavior. Because gradient terms probe the local environment within the evolving system, they are important in modeling the growth of thermal fluctuations, especially near a critical point, where knowledge of the size and spread of correlations is crucial. This paper demonstrates how gradient terms can be incorporated into the hydrodynamic equations of motion and how those modifications can be consistently applied to all thermodynamic quantities.

Citations