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This paper studies the sensitivity analysis of mass-action systems against their diffusion approximations, particularly the dependence on population sizes. As a continuous time Markov chain, a mass-action system can be described by a…

数值分析 · 数学 2022-11-10 Yao Li , Yaping Yuan

A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a…

核理论 · 物理学 2022-02-01 Akira Ono

We study the correlation energy associated with the pair fluctuations in BCS theory. We use a schematic two-level pairing model and discuss the behavior of the correlation energy across shell closures, including the even-odd differences. It…

核理论 · 物理学 2009-11-06 K. Hagino , G. F. Bertsch

We study impact of quantum phase transitions (QPTs) on the distribution of exceptional points (EPs) of the Hamiltonian in complex-extended parameter domain. Analyzing first- and second-order QPTs in the Lipkin model, we find an…

量子物理 · 物理学 2018-01-17 Pavel Stránský , Martin Dvořák , Pavel Cejnar

We study the process of absorption or emission of a bosonic collective excitation by a fermionic quasiparticle in a superfluid of paired fermions. From the RPA equation of motion of the bosonic excitation annihilation operator, we obtain an…

原子与分子团簇 · 物理学 2020-05-19 Hadrien Kurkjian , Jacques Tempere

Background: To access selected excited states of nuclei, within the framework of nuclear density functional theory, the quasiparticle random phase approximation (QRPA) is commonly used. Purpose: We present a computationally efficient, fully…

核理论 · 物理学 2015-11-11 M. Kortelainen , N. Hinohara , W. Nazarewicz

Countless processes in nature and industry, from rain droplet nucleation to plankton interaction in the ocean, are intimately related to turbulent fluctuations of local concentrations of advected matter. These fluctuations can be described…

The Hartree-Fock approximation to the many-fermion problem can break exact symmetries, and in some cases by changing a parameter in the interaction one can drive the Hartree-Fock minimum from a symmetry-breaking state to a…

核理论 · 物理学 2009-09-11 Calvin W. Johnson , Ionel Stetcu

The quantum path integral/classical liquid-state theory of Chandler and co-workers, created to describe an excess electron in solvent, is re-examined for the hydrated electron. The portion that models electron-water density correlations is…

软凝聚态物质 · 物理学 2021-07-06 James P. Donley , David R. Heine , Caleb A. Tormey , David T. Wu

The progress in two-dimensional materials has led to rapid experimental developments in quantum plasmonics, where light is manipulated using plasmons. Although numerical methods can be used to quantitatively describe plasmons in spatially…

介观与纳米尺度物理 · 物理学 2023-08-15 T. M. Koskamp , M. I. Katsnelson , K. J. A. Reijnders

Fluid queues are mathematical models frequently used in stochastic modelling. Their stationary distributions involve a key matrix recording the conditional probabilities of returning to an initial level from above, often known in the…

概率论 · 数学 2018-01-19 Nigel Bean , Giang T. Nguyen , Federico Poloni

We derive the equations of quasiparticle random-phase approximation (QRPA) based on the finite amplitude method (FAM) with the Hartree-Fock+BCS (HF+BCS) single-particle states, and calculate the magnetic dipole (M1) transition for deformed…

核理论 · 物理学 2023-06-07 Hirokazu Sasaki , Toshihiko Kawano , Ionel Stetcu

In order to clarify whether the odd-frequency superconductivity can be realized or not, we study a quasi-one-dimensional triangular lattice in the Hubbard model using the random phase approximation (RPA) and the fluctuation exchange (FLEX)…

超导电性 · 物理学 2013-02-13 Keisuke Shigeta , Seiichiro Onari , Keiji Yada , Yukio Tanaka

The accuracy of the constrained random phase approximation(cRPA) method is examined in multi-orbital Hubbard models containing all possible on-site density-density interactions. Using DMFT, we show that the effective model constructed using…

强关联电子 · 物理学 2018-10-16 Qiang Han , B. Chakrabarti , K. Haule

Utilizing an adiabatic approximation method a bipartite qudit-oscillator Hamiltonian is explicitly studied for low spin values in both strong and ultrastrong coupling regimes. The quasiprobability densities on the hybrid factorized phase…

量子物理 · 物理学 2021-06-09 M. Balamurugan , R. Chakrabarti , B. Virgin Jenisha , V. Yogesh

Dynamic Hubbard models have been proposed as extensions of the conventional Hubbard model to describe the orbital relaxation that occurs upon double occupancy of an atomic orbital. These models give rise to pairing of holes and…

超导电性 · 物理学 2009-11-07 J. E. Hirsch

In time-domain measurements of a Poisson two-level system, the observed transition rates are always smaller than those of the actual system, a general consequence of finite measurement bandwidth in an experiment. This underestimation of the…

介观与纳米尺度物理 · 物理学 2007-05-23 O. Naaman , J. Aumentado

Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation, RPA assumes that phases of interacting waves are random…

数学物理 · 物理学 2009-11-10 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

A computer code for quasiparticle random phase approximation-QRPA and projected quasiparticle random phase approximation-PQRPA models of nuclear structure is explained in details. An important application of the code consists in evaluating…

核理论 · 物理学 2010-04-22 F. Krmpotic , A. R. Samana , C. A. Bertulani

Whether it occurs in superconductors, helium-3 or inside a neutron star, fermionic superfluidity requires pairing of fermions, particles with half-integer spin. For an equal mixture of two states of fermions ("spin up" and "spin down"),…