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## Exploring first-order phase transitions with population annealing

European Physical Journal: Special Topics. 2017. Vol. 226. No. 4. P. 595-604.

Population annealing is a hybrid of sequential and Markov chain Monte Carlo methods geared towards the efficient parallel simulation of systems with complex free-energy landscapes. Systems with first-order phase transitions are among the problems in computational physics that are difficult to tackle with standard methods such as local-update simulations in the canonical ensemble, for example with the Metropolis algorithm. It is hence interesting to see whether such transitions can be more easily studied using population annealing. We report here our preliminary observations from population annealing runs for the two-dimensional Potts model with *q* > 4, where it undergoes a first-order transition.

Priority areas:
IT and mathematics

Language:
English

Russkov A., Chulkevich R., Shchur L., Computer Physics Communications 2021 Vol. 261 P. 107786

The population annealing method is a promising approach for large-scale simulations because it is potentially scalable on any parallel architecture. We present an implementation of the algorithm on a hybrid program architecture combining CUDA and MPI. The problem is to keep all general-purpose graphics processing unit devices as busy as possible by efficiently redistributing replicas. ...

Added: December 28, 2020

Weigel M., Barash L., Shchur L. et al., / Cornell University. Series cond-mat "arxiv.org". 2021. No. 2102.06611.

Population annealing is a recent addition to the arsenal of the practitioner in computer simulations in statistical physics and beyond that is found to deal well with systems with complex free-energy landscapes. Above all else, it promises to deliver unrivaled parallel scaling qualities, being suitable for parallel machines of the biggest caliber. Here we study ...

Added: February 15, 2021

Barash L. Yu., Weigel M., Borovský M. et al., Computer Physics Communications 2017 Vol. 220 P. 341-350

Population annealing is a promising recent approach for Monte Carlo simulations in statistical physics, in particular for the simulation of systems with complex free-energy landscapes. It is a hybrid method, combining importance sampling through Markov chains with elements of sequential Monte Carlo in the form of population control. While it appears to provide algorithmic capabilities ...

Added: October 20, 2017

Bondarenko S., Сапронов А. А., Computer Physics Communications 2013 No. 184 P. 2343-2350

mcsanc is a Monte-Carlo tool based on the SANC (Support for Analytic and Numeric Calculations for experiments at colliders) modules for higher order calculations in hadron collider physics. It allows to evaluate NLO QCD and EW cross sections for Drell-Yan processes (inclusive), associated Higgs and gauge boson production and single-top quark production in s- and ...

Added: June 27, 2018

Arbuzov A., Bardin D., Bondarenko S. et al., JETP Letters 2016 Vol. 103 No. 2 P. 131-136

This article presents new features of the MCSANC v.1.20 program, a Monte Carlo tool for calculation of the next-to-leading order electroweak and QCD corrections to various Standard Model processes. The extensions concern implementation of Drell--Yan-like processes and include a systematic treatment of the photon-induced contribution in proton--proton collisions and electroweak corrections beyond NLO approximation. There ...

Added: June 28, 2018

Barash L. Yu., Фадеева М. А., Shchur L. N., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2017 Vol. 96 No. 4 P. 043307-1-043307-7

The Wang-Landau (WL) algorithm has been widely used for simulations in many areas of physics. Our analysis of the WL algorithm explains its properties and shows that the difference of the largest eigenvalue of the transition matrix in the energy space from unity can be used to control the accuracy of estimating the density of ...

Added: October 20, 2017

Russkov A., Roman Chulkevich, Shchur L., / Cornell University. Series arXiv "math". 2020. No. 2006.00561.

The parallel annealing method is one of the promising approaches for large scale simulations as potentially scalable on any parallel architecture. We present an implementation of the algorithm on the hybrid program architecture combining CUDA and MPI. The problem is to keep all general-purpose graphics processing unit devices as busy as possible redistributing replicas and ...

Added: June 2, 2020

Borovský M., Weigel M., Barash L.Yu. et al., EPJ Web of Conferences 2016 Vol. 108 P. 02016-p.1-02016-p.6

The population annealing algorithm is a novel approach to study systems with rough free-energy landscapes, such as spin glasses. It combines the power of simulated annealing, Boltzmann weighted differential reproduction and sequential Monte Carlo process to bring the population of replicas to the equilibrium even in the low-temperature region. Moreover, it provides a very good ...

Added: January 31, 2018

Mozolenko V., Shchur L., / Cornell University. Series Physics "arxiv.org". 2024. No. 2402.18985.

We present a modification of the Rose-Machta algorithm (Phys. Rev. E 100 (2019) 063304) and estimate the density of states for a two-dimensional Blume-Capel model, simulating 10^5 replicas in parallel for each set of parameters. We perform a finite-size analysis of the specific heat and Binder cumulant, determine the critical temperature along the critical line, ...

Added: March 1, 2024

Zhukova E. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2017 Vol. 55 No. 6 P. 417-425

This work is devoted to studying the processes of the acceleration of plasma particles in thin current sheets that appear during magnetospheric substorms in the Earth’s magnetosphere tail. A numerical model of magnetic dipolarization accompanied by plasma turbulence has been constructed and studied. The model allows one to investigate the particle acceleration due to the ...

Added: July 19, 2018

Weigel M., Barash L., Shchur L. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2021 Vol. 103 P. 053301-1-053301-24

Population annealing is a recent addition to the arsenal of the practitioner in computer simulations in statistical
physics and it proves to deal well with systems with complex free-energy landscapes. Above all else, it promises
to deliver unrivaled parallel scaling qualities, being suitable for parallel machines of the biggest caliber. Here
we study population annealing using as the ...

Added: May 5, 2021

Samodurov V., Kitaeva M. A., Isaev E. et al., Odessa Astronomical Publications 2013 No. 26/2 P. 311-315

Now a day the task of comparative analysis of sample sources from different astronomical catalogs is becoming very topical for astronomers. It is useful both for the same spectral range data and for their cross-analysis for different spectral ranges. It is also important, that the real data from astronomical instruments is placed on-line. For the ...

Added: December 11, 2013

Parkhomenko E., Malova H., Grigorenko E. et al., Physics of Plasmas 2019 Vol. 26 No. 4 P. 1-9

This work is devoted to the investigation of particle acceleration during magnetospheric dipolarizations. A numerical model is presented
taking into account the four scenarios of plasma acceleration that can be realized: (A) total dipolarization with characteristic time scales of
3 min; (B) single peak value of the normal magnetic component Bz occurring on the time scale of ...

Added: April 16, 2019

Isaev E., Lysakov S., Sukhov R. et al., Odessa Astronomical Publications 2013 No. 26/2 P. 309

Added: December 11, 2013

Barash L., Marshall J., Weigel M. et al., / Cornell University. Series cond-mat "arxiv.org". 2018. No. 1808.04340.

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers to quantum computing. Some of the standard approaches suffer from a spurious convergence of the estimates to metastable minima, and these cases are ...

Added: October 17, 2018

М. : МИЭМ НИУ ВШЭ, 2013

The materials of The Second International Scientific – Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 4 parts. It is interesting for a wide range of researchers, teachers, graduate ...

Added: April 18, 2013

Долгопрудный : МФТИ, 2016

Сборник предназначен для широкого круга специалистов, занимаю- щихся проблемами управления и обработки информации, математическо- го и компьютерного моделирования.
Отражены результаты научных исследований, ведущихся в Москов- ском физико-техническом институте (государственном университете) в области вычислительной математики, математической кибернетики, ком- пьютерных и информационных технологий. ...

Added: October 20, 2018

Kryuchkov M., Научно-технический вестник Поволжья 2016 № 5 С. 21-24

This paper presents an analysis of the results of numerical calculation of Bayes criterion of efficiency for some financial strategies used in the series of games with nature. A large number of simulations of the stochastic process of the game are formed with probability characteristics coincide with the similar values of the task. The results ...

Added: October 19, 2016

Serkhacheva N., Gainanova, A., Kuz’micheva G. et al., International Journal of Polymer Analysis and Characterization 2015 Vol. 20 No. 8 P. 743-753

This study produced for the first time composites based on polystyrene microspheres with nano-sized titania synthesized by sulfate and sol-gel methods, as well as commercial Hombifine N, Hombikat UV100, and Degussa P25. The starting samples and the composites were characterized by X-ray diffraction, scanning electron microscopy, nitrogen adsorption capacity, and IR spectroscopy. The highest content ...

Added: December 2, 2015

Ratnikov F., Hushchyn M., Курбатов Е. О. et al., Journal of High Energy Physics 2019 Vol. 1904 No. 77 P. 1-16

Heavy Neutral Leptons (HNLs) are hypothetical particles predicted by many extensions of the Standard Model. These particles can, among other things, explain the origin of neutrino masses, generate the observed matter-antimatter asymmetry in the Universe and provide a dark matter candidate.
The SHiP experiment will be able to search for HNLs produced in decays of heavy ...

Added: April 30, 2019

Пенза : ПГУ, 2016

В сборник трудов включены доклады ХХI-го Международного симпозиума «Надежность и качество», проходившего с 23 по 29 мая 2016 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и средств ...

Added: May 27, 2016

Isaev E.A., Kornilov V.V., Samodurov V.A. et al., Odessa Astronomical Publications 2013 Vol. 26 No. 2 P. 308

Modern astronomical research programs need high-speed data transmission. The problem of the development and modernization of local networks and main channels is discussed. ...

Added: December 11, 2013

Ducomet B., Zlotnik A., Zlotnik I. A., / Cornell University. Series math "arxiv.org". 2013. No. arxiv: 1303.3471.

We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödinger equation on a semi-infinite strip. For the Crank-Nicolson finite-difference scheme with approximate or discrete transparent boundary conditions (TBCs), the Strang-type splitting with respect to the potential is applied. For the resulting method, the uniform in time L2-stability is proved. Due to the ...

Added: March 16, 2013

Timofeev A., Morozov I., Stegailov V. et al., Программные системы: теория и приложения 2014 Т. 5 № 1 С. 191-244

Рассматривается подход, позволяющий выявить, для каких задач нужны суперкомпьютеры эксафлопсного класса. Возможности подхода рассмотрены на примерах актуальных задач материаловедения, физики конденсированного вещества и плотной плазмы, для решения которых необходимо атомистическое моделирование на современных и создаваемых в настоящее время суперкомпьютерах. Для каждой задачи проведено соответствие между набором изучаемых явлений и требуемым уровнем быстродействия (числа ядер) вычислительной ...

Added: August 11, 2014