Unitary evolution with fluctuations and dissipation

Abstract

We outline an extension of the classical Langevin equation to a quantum formulation of the treatment of dissipation and fluctuations of all collective degrees of freedom with unitary evolution of a many-fermion system within an extension of the time-dependent density functional theory. We illustrate the method by computing the distribution of fission fragment yields for ${}^{258}$Fm in a quantum hydrodynamic approach and a typical trajectory with full unrestricted density functional theory augmented with dissipation and fluctuations.

arXiv comment9 pages, 4 figures

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Cited by in corpus (30)

• Future of Nuclear Fission Theory
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Theory of Nuclear Fission
• Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
• Nuclear Fission Dynamics: Past, Present, Needs, and Future
• Fission fragments intrinsic spins and their correlations
• The time-dependent generator coordinate method in nuclear physics
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Fission Dynamics of Compound Nuclei: Pairing versus Fluctuations
• Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
• Efficient method for estimation of fission fragment yields of r-process nuclei
• Correlation studies of fission fragment neutron multiplicities
• Energy and pairing dependence of dissipation in real-time fission dynamics
• Neck Rupture and Scission Neutrons in Nuclear Fission
• Dissipative Dynamics of Quantum Vortices in Fermionic Superfluid
• Spatial orientation of the fission fragment intrinsic spins and their correlations
• Generation, dynamics, and correlations of the fission fragments' angular momenta
• Microscopic description of the torque acting on fission fragments
• Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Pre-equilibrium Neutron Emission in Fission or Fragmentation
• Time-dependent density functional theory study of induced-fission dynamics of ${}^{226}$Th
• Time-Dependent Density Functional Theory Description of ${}^{238}$U(n,f), ${}^{240,242}$Pu(n,f) and ${}^{237}$Np(n,f) Reactions
• Fission in a microscopic framework: from basic science to support for applications
• A critical assessment of the current implementations of the Generator Coordinate Method
• Reply to the Comment of S. Ayik and D. Lacroix, posted as arXiv:1909.1361v1, on the recent article "Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond" by Bulgac et al, published as Phys. Rev. C 100, 034615 (2019)
• Microscopic Theory of Nuclear Fission
• The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions
• Local Quantum Cooling for Large Fermi Systems with Pairing