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We present a numerical method to solve the optimal transport problem with a quadratic cost when the source and target measures are periodic probability densities. This method is based on a numerical resolution of the corresponding…

Numerical Analysis · Mathematics 2011-03-02 Louis-Philippe Saumier , Martial Agueh , Boualem Khouider

The dynamical mechanism of multinucleon transfer (MNT) reactions has been investigated within the dinuclear system (DNS) model, in which the sequential nucleon transfer is described by solving a set of microscopically derived master…

Nuclear Theory · Physics 2020-03-05 Peng-Hui Chen , Fei Niu , Wei Zuo , Zhao-Qing Feng

Periodically-driven flows are known to generate non-zero, time-averaged fluxes of heat or solute species, due to the interactions of out-of-phase velocity and temperature/concentration fields, respectively. Herein, we investigate such…

Fluid Dynamics · Physics 2020-09-23 Rui Yang , Ivan C. Christov , Ian M. Griffiths , Guy Z. Ramon

In this paper the simplified double-spherical harmonics SDPN, approximation of the neutron transport equation is proposed. The SDPN equations are derived from the multi-group DPN equations for N=1,2,3 (comparable to the SP3, SP5, and SP7…

Computational Physics · Physics 2023-10-31 M. Nazari , A. Zolfaghari , M. Abbasi

Aims. The main goal of this paper is to present an accurate and efficient numerical strategy for solving the radiative transfer problem for polarised radiation in strong resonance lines forming out of local thermodynamic equilibrium, taking…

A numerically exact path integral treatment of the absorption and emission spectra of open quantum systems is presented that requires only the straightforward solution of a stochastic differential equation. The approach converges rapidly…

Chemical Physics · Physics 2015-05-05 Jeremy Moix , Jian Ma , Jianshu Cao

Correlation-driven metal-insulator transitions and temperature-driven quantum-coherent-to-incoherent crossovers in correlated electron systems underpin the doping, temperature and frequency-resolved evolution of physical responses.…

Strongly Correlated Electrons · Physics 2025-01-15 Gopal Prakash , S. R. Hassan , M. S. Laad , N. S. Vidhyadhiraja , T. V. Ramakrishnan

The natural orbitals renormalization group (NORG) has previously been proposed as an efficient numerical method for solving zero-temperature properties of multisite and multiorbital quantum impurity systems. Here, we implement the NORG as…

Strongly Correlated Electrons · Physics 2022-09-29 Jia-Ming Wang , Yin Chen , Yi-Heng Tian , Rong-Qiang He , Zhong-Yi Lu

The radiative transfer equation (RTE) is a cornerstone for describing the propagation of electromagnetic radiation in a medium, with applications spanning atmospheric science, astrophysics, remote sensing, and biomedical optics. Despite its…

Optics · Physics 2024-01-19 Vladimir Allaxwerdian , Dmitry V. Naumov

We present a general solution for the radiation intensity in front of a purely absorbing slab moving toward an observer at constant speed and with a constant temperature. The solution is obtained by integrating the lab-frame radiation…

Computational Engineering, Finance, and Science · Computer Science 2020-09-07 Ryan G. McClarren , N. A. Gentile

We present a numerical method for the velocity-space, spatially homogeneous, collisional Boltzmann equation for electron transport in low-temperature plasma (LTP) conditions. Modeling LTP plasmas is useful in many applications, including…

Using a combination of theory and computer simulations, we study the translocation of an RNA molecule, pulled through a solid-state nanopore by an optical tweezer, as a method to determine its secondary structure. The resolution with which…

Statistical Mechanics · Physics 2009-08-13 Henk Vocks , Debabrata Panja , Gerard T. Barkema

The recently proposed Partition Theory (PT) [J.Phys.Chem.A 111, 2229 (2007)] is illustrated on a simple one-dimensional model of a heteronuclear diatomic molecule. It is shown that a sharp definition for the charge of molecular fragments…

Other Condensed Matter · Physics 2016-09-28 Morrel H. Cohen , Adam Wasserman , Roberto Car , Kieron Burke

This article devotes to developing robust but simple correction techniques and efficient algorithms for a class of second-order time stepping methods, namely the shifted fractional trapezoidal rule (SFTR), for subdiffusion problems to…

Numerical Analysis · Mathematics 2020-10-26 Baoli Yin , Yang Liu , Hong Li , Zhimin Zhang

In statistical physics, the efficiency of tempering approaches strongly depends on ingredients such as the number of replicas $R$, reliable determination of weight factors and the set of used temperatures, ${\mathcal T}_R = \{T_1, T_2,…

Statistical Mechanics · Physics 2014-09-01 A. Valentim , M. G. E. da Luz , Carlos E. Fiore

We investigate the accuracy of the recently proposed nonclassical transport equation. This equation contains an extra independent variable compared to the classical transport equation (the path-length $s$), and models particle transport…

Nuclear Theory · Physics 2016-11-08 Richard Vasques , Kai Krycki , Rachel N. Slaybaugh

We develop a time-dependent multi-group multidimensional relativistic radiative transfer code, which is required to numerically investigate radiation from relativistic fluids involved in, e.g., gamma-ray bursts and active galactic nuclei.…

Instrumentation and Methods for Astrophysics · Physics 2015-09-09 Nozomu Tominaga , Sanshiro Shibata , Sergei I. Blinnikov

The development of fast numerical methods for multilevel radiative transfer (RT) applications often leads to important breakthroughs in astrophysics, because they allow the investigation of problems that could not be properly tackled using…

Astrophysics · Physics 2009-11-11 A. Asensio Ramos , J. Trujillo Bueno

We develop a nonperturbative dynamical theory (NDT) that is useful for treating nonequilibrium transport in a system with strong correlation. We apply our NDT to the single-impurity Anderson model in equilibrium to check its reliability by…

Strongly Correlated Electrons · Physics 2011-11-09 Jongbae Hong , Wonmyung Woo

We present a renormalization group (RG) method which allows for an analytical study of the transient dynamics of open quantum systems on all time scales. Whereas oscillation frequencies and decay rates of exponential time evolution follow…

Strongly Correlated Electrons · Physics 2013-05-23 Oleksiy Kashuba , Herbert Schoeller