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This work is an analytical calculation of the path probability for random dynamics of mechanical system described by Langevin equation with Gaussian noise. The result shows an exponential dependence of the probability on the action. In the…

统计力学 · 物理学 2015-10-27 Aziz El Kaabouchi , Qiuping A. Wang

Previous computations of the potential landscape with the shapes parameterized in terms of Cassini ovaloids are extended to collective dynamics at finite excitations. Taking fission as the most demanding example of large scale collective…

核理论 · 物理学 2008-11-26 F. A. Ivanyuk , H. Hofmann , V. V. Pashkevich , S. Yamaji

At long times, a fractional Brownian particle in a confining external potential reaches a non-equilibrium (non-Boltzmann) steady state. Here we consider scale-invariant power-law potentials $V(x)\sim |x|^m$, where $m>0$, and employ the…

统计力学 · 物理学 2025-03-03 Baruch Meerson , Pavel V. Sasorov

An equation for the reduced density matrix which describes a free particle, that is interacting with a linearly dissipative medium, is derived using the total Hamiltonian, and without resorting to any artificial model. A Master equation is…

统计力学 · 物理学 2007-05-23 W. H. Richardson

Fractional Brownian motion is a generalised Gaussian diffusive process that is found to describe numerous stochastic phenomena in physics and biology. Here we introduce a multi-dimensional fractional Brownian motion (FBM) defined as a…

统计力学 · 物理学 2013-06-14 Jae-Hyung Jeon , Aleksei V. Chechkin , Ralf Metzler

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

软凝聚态物质 · 物理学 2014-02-19 Soya Shinkai , Yuichi Togashi

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

核理论 · 物理学 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar

For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an…

高能物理 - 理论 · 物理学 2008-11-26 Li Hua Yu , Chang-Pu Sun

Fragment mass distributions from the fission of U and Pu isotopes at low excitation energies are studied using a dynamical model based on the fluctuation-dissipation theorem formulated as Langevin equations. The present calculations…

核理论 · 物理学 2015-06-16 Y. Aritomo , S. Chiba

The dynamic density response function, form-factor, and spectral function of a Luttinger liquid with Coulomb electron-electron interaction are studied with the emphasis on the short-range electron correlations. The Coulomb interaction…

强关联电子 · 物理学 2009-11-07 Yasha Gindikin , V. A. Sablikov

The triaxial quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to triaxial shape vibrations and rotations, the model describes pairing…

核理论 · 物理学 2023-12-07 J. Xiang , Z. P. Li , T. Nikšić , D. Vretenar , W. H. Long , X. Y. Wu

A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the L\'evy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and…

数学物理 · 物理学 2009-11-13 Nick Laskin

The lifetimes of magnetic hopfions on a discrete lattice with competing exchange interactions are calculated within the framework of the transition state theory for magnetic degrees of freedom. Three sets of discrete model parameters…

材料科学 · 物理学 2023-03-15 Igor Lobanov , Valery Uzdin

Recently, the progression toward more exact density functional theory has been questioned, implying a need for more formal ways to systematically measure progress, i.e. a path. Here I use the Hohenberg-Kohn theorems and the definition of…

化学物理 · 物理学 2017-11-16 Kasper Planeta Kepp

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

材料科学 · 物理学 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on…

量子物理 · 物理学 2026-05-26 Faramarz Rahmani , Mehdi Golshani

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

材料科学 · 物理学 2016-08-03 Bastian Schaefer , Stefan Goedecker

The imaginary-time path integral representation of the canonical partition function of a quantum system and non-equilibrium work fluctuation relations are combined to yield methods for computing free energy differences in quantum systems…

We investigate the energy loss characteristics of warm dense matter (WDM) and dense plasmas concentrating on the influence of electronic correlations. The basis for our analysis is a recently developed ab initio Quantum Monte-Carlo (QMC)…

等离子体物理 · 物理学 2020-05-20 Zh. A. Moldabekov , T. Dornheim , M. Bonitz , T. S. Ramazanov

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low frequencies below the band gap frequency, such that the…

量子气体 · 物理学 2013-03-19 Hannes Pichler , Johannes Schachenmayer , Andrew J. Daley , Peter Zoller