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- W3039500030 abstract "Existing mean field theories of imaginary time dynamics describing tunneling of interacting Fermi systems are of the Hartree-Fock type in which the pairing effects are ignored. Here we extend this theory to the Hartree-Fock-Bogoliubov(HFB) framework and derive the corresponding generalisation of imaginary time dependent Bogoliubov-de Gennes (BdG) mean field equations. We construct a representation of the partition function as a functional integral type of sum over complete sets of states. These states are generated by a trial imaginary time dependent Hamiltonian. Taking this Hamiltonian as describing non interacting BdG quasiparticles we use the convex inequality to optimise its dynamical parameters at any given temperature. A prominent feature of the resulting mean field equations is an inseparable interplay between quantum dynamical and entropic statistical effects. With increasing excitation energy (effective temperature) the decay process is gradually evolving from pure quantum tunneling to statistical bottle neck escape mechanism. Correspondingly the resulting bounce action is a sum of two terms - statistically weighted dynamical penetrability action and tunneling entropy. The first (second) term gradually decreases (increases) with increasing effective temperature. BdG equations for the false ground state tunneling decay (spontaneous fission in nuclear physics) are obtained in the zero temperature limit of our formalism. At finite excitation energy (non zero effective temperature) our tunneling equations should be useful e.g. to describe tunneling decays of excited microcanonical ensemble of states as a microscopic framework for the phenomenology of induced fission phenomena." @default.
- W3039500030 created "2020-07-10" @default.
- W3039500030 creator A5071569950 @default.
- W3039500030 date "2020-07-06" @default.
- W3039500030 modified "2023-09-27" @default.
- W3039500030 title "Mean Field Tunneling Dynamics of Superfluid Fermi Systems. Spontaneous and Induced Fission" @default.
- W3039500030 hasPublicationYear "2020" @default.
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