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Dynamic density functionals (DDFs) are popular tools for studying the dynamical evolution of inhomogeneous polymer systems. Here, we present a systematic evaluation of a set of diffusive DDF theories by comparing their predictions with data…

Soft Condensed Matter · Physics 2018-02-07 Shuanhu Qi , Friederike Schmid

This paper discusses modern methods for estimating the moments of inertia of fragments formed during forced fission of the isotopes 232Th(n,f) and 238U(n,f). The study analyzes two fundamental approaches -- statistical and microscopic.…

The generalized Gross-Pitaevskii equation (gGPE) is an effective phenomenological description for the dynamics of incoherently pumped exciton-polariton condensates. However, a brute force numerical simulation of the gGPE provides little…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Saeed Khan , Hakan E. Türeci

Modeling a high-dimensional Hamiltonian system in reduced dimensions with respect to coarse-grained (CG) variables can greatly reduce computational cost and enable efficient bottom-up prediction of main features of the system for many…

Computational Engineering, Finance, and Science · Computer Science 2021-04-09 Shu Wang , Zhan Ma , Wenxiao Pan

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We present the method of complementary ensemble empirical mode decomposition (CEEMD) and Hilbert-Huang transform (HHT) for analyzing nonstationary financial time series. This noise-assisted approach decomposes any time series into a number…

Computational Finance · Quantitative Finance 2021-05-25 Tim Leung , Theodore Zhao

We describe the computational ingredients for an approach to treat interacting fermion systems in the presence of pairing fields, based on path-integrals in the space of Hartree-Fock-Bogoliubov (HFB) wave functions. The path-integrals can…

Strongly Correlated Electrons · Physics 2017-01-30 Hao Shi , Shiwei Zhang

We propose an efficient ab initio framework to compute the Gibbs energy of the transition state in vacancy-mediated diffusion including the relevant thermal excitations at density-functional-theory level. With the aid of a bespoke…

Materials Science · Physics 2024-10-08 Xi Zhang , Sergiy V. Divinski , Blazej Grabowski

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

Gravitational self-force (GSF) theory is a strong-gravity perturbative approach to the relativistic two-body problem, primarily developed to model extreme-mass-ratio inspirals, where one compact object is significantly more massive than the…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Benjamin Leather , Alessandra Buonanno , Maarten van de Meent

We present the first systematic comparison between gravitational waveforms emitted by inspiralling, quasi-circular and nonspinning black hole binaries computed with three different approaches: second-order gravitational self-force (2GSF)…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Angelica Albertini , Alessandro Nagar , Adam Pound , Niels Warburton , Barry Wardell , Leanne Durkan , Jeremy Miller

We study the development of gravitational instability in the strongly non-linear regime. For this purpose we use a number of statistical indicators such as filamentary statistics, spectrum of overdense/underdense regions and the void…

Astrophysics · Physics 2015-06-24 B. S. Sathyaprakash , V. Sahni , D. Munshi , D. Pogosyan , A. L. Melott

We present a coordinate-free approach for constructing approximate first integrals of generalized slow-fast Hamiltonian systems, based on the global averaging method on parameter-dependent phase spaces with $\mathbb{S}^1 -$symmetry.…

Dynamical Systems · Mathematics 2014-05-06 M. Avendaño-Camacho , J. A. Vallejo , Yu. Vorobiev

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

Statistical Mechanics · Physics 2015-06-25 J. M. Rubi , A. Perez-Madrid

Collective quadrupole and octupole states are described in a series of Sm and Gd isotopes within the framework of the interacting boson model (IBM), whose Hamiltonian parameters are deduced from mean field calculations with the Gogny energy…

Nuclear Theory · Physics 2015-07-20 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

This paper proposes a novel Generalized Non-Standard Finite Difference (GNSFD) scheme for the numerical solution of a class of fractional partial differential equations (FrPDEs). The formulation of the method is grounded in optimization and…

Numerical Analysis · Mathematics 2025-09-17 Devank Mishra , Sheerin Kayenat , Amit K. Verma

The standard particle-in-cell algorithm suffers from grid heating. There exists a gridless alternative which bypasses the deposition step and calculates each Fourier mode of the charge density directly from the particle positions. We show…

Plasma Physics · Physics 2019-09-04 Matthew S. Mitchell , Matthew T. Miecnikowski , Gregory Beylkin , Scott E. Parker

We developed a method which performs the coupled adiabatic spin and lattice dynamics based on the tight-binding electronic structure model, where the intrinsic magnetic field and ionic forces are calculated from the converged…