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Monte Carlo radiative transfer, which has been demonstrated as a successful algorithm for modeling radiation transport through the astrophysical medium, relies on sampling of scattering phase functions. We review several classic sampling…

Computational Physics · Physics 2019-09-18 Jianing Zhang

In quantum scattering theory, there exists a relationship between the difference in the scattering phase shifts at threshold and infinity and the number of bound states, which is established by the Levinson theorem. The presence of…

High Energy Physics - Phenomenology · Physics 2021-04-28 M. I. Krivoruchenko , K. S. Tyrin

We present lattice Monte Carlo calculations of fermion-dimer scattering in the limit of zero-range interactions using the adiabatic projection method. The adiabatic projection method uses a set of initial cluster states and Euclidean time…

Nuclear Theory · Physics 2014-12-02 Serdar Elhatisari , Dean Lee

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Abhishek Dhar , Diptiman Sen , Dibyendu Roy

The phase shift analysis for determination of the 2S1/2 resonance at 1.5 MeV was carried out on the basis of the known experimental measurements of the excitation functions of the p14C elastic scattering at four angles from 90 to 165 grad.…

Nuclear Theory · Physics 2017-11-27 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

The dispersion relations and S-matrix of the one-dimensional Hubbard model at half filling are considered in a certain scaling limit. (In the process we derive a useful small-coupling expansion of the exact lattice dispersion relations.)…

Condensed Matter · Physics 2009-10-22 Ezer Melzer

A classical variant of the two-dimensional anisotropic Heisenberg model reproducing inelastic neutron scattering experiments on La_5 Ca_9 Cu_24 O_41 [M. Matsuda et al., Phys.Rev. B 68, 060406(R) (2003)] is analysed using mostly Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 R. Leidl , W. Selke

We propose an efficient Markov Chain Monte Carlo method for sampling equilibrium distributions for stochastic lattice models, capable of handling correctly long and short-range particle interactions. The proposed method is a Metropolis-type…

Numerical Analysis · Mathematics 2010-06-21 Evangelia Kalligiannaki , Markos A. Katsoulakis , Petr Plechac

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

We introduce and discuss Monte Carlo methods in quantum field theories. Methods of independent Monte Carlo, such as random sampling and importance sampling, and methods of dependent Monte Carlo, such as Metropolis sampling and Hamiltonian…

High Energy Physics - Theory · Physics 2020-12-01 Anosh Joseph

Background: The study of np and pp scattering, central to understanding nuclear force, remains an optional topic in many undergraduate nuclear physics curriculum. Purpose: The main thrust of this paper is to study pp scattering using the…

Nuclear Theory · Physics 2024-05-02 Shikha Awasthi , Anil Khachi , O. S. K. S. Sastri

We consider an electron interacting locally with two-level systems (TLSs) as an archetypal model for charge transport in the presence of inelastic scatterers. To assess the importance of quantum effects in the optical and d.c. conductivity…

Strongly Correlated Electrons · Physics 2025-09-25 Hadi Rammal , Sergio Ciuchi , Simone Fratini

Using newly calculated electromagnetic corrections, we have made a phase shift analysis of experimental data on pi+/- p elastic scattering up to 100 MeV, assuming the effective hadronic interaction to be isospin invariant. The output…

High Energy Physics - Phenomenology · Physics 2007-10-18 A. Gashi , E. Matsinos , G. C. Oades , G. Rasche , W. S. Woolcock

We modified the recently proposed multicanonical MC algorithm for the case of a magnetic field driven order--order phase transition. We test this {\it multimagnetic} Monte Carlo algorithm for the D=2 Ising model at $\beta=0.5$ and simulate…

High Energy Physics - Lattice · Physics 2007-05-23 U. Hansmann , B. A. Berg , T. Neuhaus

This is a combined write-up for two talks which were given consecutively and which described different aspects of the same topic. We present a generalization of L\"uscher's relation between the finite-volume spectrum and S-matrix to three…

High Energy Physics - Lattice · Physics 2013-11-20 Maxwell T. Hansen , Stephen R. Sharpe

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

The phase diagram of a lattice microemulsion model proposed by Ciach, H{\o}ye and Stell is studied using mean-field theory and Monte Carlo simulations. Surfactant directional degrees of freedom are summed out exactly before mean-field…

Condensed Matter · Physics 2009-10-22 Per Arne Slotte

An effective Hamiltonian which could model the interaction between a tunneling proton and the conduction electrons of a metal is investigated. A remarkably simple correlation between the motion of the $TLS$-atom and an angular-momentum…

Strongly Correlated Electrons · Physics 2007-11-19 I. Nagy , A. Zawadowski

Magnetization processes of the spin-1/2 antiferromagnetic $XXZ$ model in two and three spatial dimensions are studied using quantum Monte Carlo method based on stochastic series expansions. Recently developed operator-loop algorithm enables…

Strongly Correlated Electrons · Physics 2009-11-07 Seiji Yunoki

Progress in calculating scattering phase shifts on $N_f=2+1$ anisotropic clover Wilson lattices is described. The stochastic LapH method facilitates computations in large volumes and for light pion masses. Results for pion masses down to…

High Energy Physics - Lattice · Physics 2014-11-03 Brendan Fahy , John Bulava , Ben Hörz , Keisuke J. Juge , Colin Morningstar , Chik Him Wong
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