Journal
PHYSICAL REVIEW C
Volume 105, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.105.L021601
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Funding
- U.S. DOE, Office of Science [DE-FG02-97ER41014]
- National Nuclear Security Administration (NNSA) [DE-NA0003841]
- U.S. DOE Office of Science User Facility [DE-AC05-00OR22725]
- Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]
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The Boltzmann equation is a framework that extends the classical description of a many-body system to include particle-particle collisions. This article introduces a quantum version of the Boltzmann-Uehling-Uhlenbeck (BUU) equations, which is equivalent to a generalized time-dependent density functional theory extended to superfluid systems.
The Boltzmann equation is the traditional framework in which one extends the time-dependent mean field classical description of a many-body system to include the effect of particle-particle collisions in an approximate manner. A semiclassical extension of this approach to quantum many-body systems was suggested by Uehling and Uhlenbeck in 1933 for both Fermi and Bose statistics, and many further developments of this approach are known as the Boltzmann-Uehling-Uhlenbeck (BUU) equations. Here I introduce a pure quantum version of the BUU type of equations, which is mathematically equivalent to a generalized time-dependent density functional theory extended to superfluid systems. As expected, during nonequilibrium processes the quantum Boltzmann one-body entropy increases during evolution.
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