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The semiclassical Euclidean path integral method is applied to compute the low temperature quantum decay rate for a particle placed in the metastable minimum of a cubic potential in a {\it finite} time theory. The classical path, which…

Quantum Physics · Physics 2008-03-20 Marco Zoli

We consider a finite number $N$ of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with $N=2$ and $N=3$, and…

Quantum Gases · Physics 2015-02-25 Mario Galante , Giovanni Mazzarella , Luca Salasnich

For the first time, the energy diffusion approximation is confronted at the percent level with the exact numerical modeling of thermal decay of a metastable state. The latter is performed using the quasistationary decay rates resulting from…

Nuclear Theory · Physics 2019-08-13 Igor I. Gontchar , Maria V. Chushnyakova

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

Biological Physics · Physics 2011-05-24 Van Ngo

The optimal fluctuation method -- essentially geometrical optics -- gives a deep insight into large deviations of Brownian motion. Here we illustrate this point by telling three short stories about Brownian motions, "pushed" into a…

Statistical Mechanics · Physics 2019-09-19 Baruch Meerson , Naftali R. Smith

We consider the properties of a one dimensional fluid of brownian inertial hard-core particles, whose microscopic dynamics is partially damped by a heat-bath. Direct interactions among the particles are represented as binary, instantaneous…

Statistical Mechanics · Physics 2007-05-23 Marini Bettolo Marconi Umberto , Tarazona Pedro

We consider quantum Hamiltonian systems composed of mutually interacting "dynamical subsystem" with one or several degrees of freedom and "thermostat" with arbitrary many degrees of freedom, under assumptions that the interaction ensures…

Statistical Mechanics · Physics 2012-07-03 Yu. E. Kuzovlev

We consider a clean two-dimensional interacting electron gas subject to a random perpendicular magnetic field, h({\bf r}). The field is nonquantizing, in the sense, that {\cal N}_h-a typical flux into the area \lambda_{\text{\tiny F}}^2 in…

Mesoscale and Nanoscale Physics · Physics 2008-03-30 T. A. Sedrakyan , M. E. Raikh

The dynamical properties and diffusive behavior of a collection of mutually interacting particles are numerically investigated for two types of long-range interparticle interactions: Coulomb-electrostatic and dipole-electrodynamic. It is…

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

Nuclear Theory · Physics 2020-07-01 J. Xiang , Z. P. Li , T. Niksic , D. Vretenar , W. H. Long

The dynamics of a metallic particle confined between charged walls is studied. One wall is fixed and the other moves smoothly and periodically in time. Dissipation is considered by assuming a friction produced by the contact between the…

Chaotic Dynamics · Physics 2013-12-12 Denis Gouvêa Ladeira , Edson Denis Leonel

We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 V. Vettchinkina , A. Kartsev , D. Karlsson , C. Verdozzi

Recently, we introduced the active Dyson Brownian motion model (DBM), in which $N$ run-and-tumble particles interact via a logarithmic repulsive potential in the presence of a harmonic well. We found that in a broad range of parameters the…

Statistical Mechanics · Physics 2024-11-08 Leo Touzo , Pierre Le Doussal , Gregory Schehr

The constrained Hartree-Fock-Bogoliubov method is used with the Gogny interaction D1S to calculate potential energy surfaces of fissioning nuclei ${}^{226}$Th and ${}^{256,258,260}$Fm up to very large deformations. The constraints employed…

Nuclear Theory · Physics 2008-11-26 N. Dubray , H. Goutte , J. -P. Delaroche

The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods…

High Energy Physics - Theory · Physics 2019-08-17 Sun , C. P , L. H. Yu

Depending on the energy regime, the dynamics of heavy-ion collisions reveals a variety of different mechanisms which are attributed to the combination of collective and dissipative effects. Semi-classical approaches have been successful in…

Nuclear Theory · Physics 2022-03-28 Hung Dinh Viet , Paolo Napolitani

We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We first study the dynamical behavior of an active particle subject…

Statistical Mechanics · Physics 2026-04-21 Yun Jeong Kang , Sung Kyu Seo , Kyungsik Kim

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

Statistical Mechanics · Physics 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

From the microscopic view, the energy partition between two fission fragments are associated with the splitting of wave functions of an entangled fissioning system, in contrast to most fission models using an explicit statistical partition…

Nuclear Theory · Physics 2025-01-14 Haoyu Shang , Yu Qiang , Junchen Pei

This work is a numerical experiment of stochastic motion of conservative Hamiltonian system or weakly damped Brownian particles. The objective is to prove the existence of path probability and to compute its values. By observing a large…

Statistical Mechanics · Physics 2012-02-09 Lin Tongling , Pujos Cyril , Ou Congjie , Bi Wenping , Calvayrac Florent , Wang Qiuping A
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