High precision framework for chaos many-body engine

Abstract

In this paper we present a C# 4.0 high precision framework for simulation of relativistic many-body systems. In order to benefit from the, previously developed, chaos analysis instruments, all new modules were integrated with Chaos Many-Body Engine (Grossu et al. 2010, 2013). As a direct application, we used 46 digits precision for analyzing the “Butterfly Effect” of the gravitational force in a specific relativistic nuclear collision toy-model. Program summaryProgram title: Chaos Many-Body Engine v04.1Catalogue identifier: AEGH_v4_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEGH_v4_0.htmlProgram obtainable from: CPC Program Library, Queen’s University, Belfast, N. IrelandLicensing provisions: Microsoft Public License (Ms-PL)No. of lines in distributed program, including test data, etc.: 307938No. of bytes in distributed program, including test data, etc.: 11953299Distribution format: tar.gzProgramming language: Visual C# Express 2010.Computer: PC.Operating system: .Net Framework 4.0 running on MS Windows.RAM: 100 MegabytesClassification: 6.2, 6.5.External routines: BigRational structure provided by MicrosoftDoes the new version supersede the previous version?: yesNature of problem:high precision simulation of relativistic many-body systems.Solution method:high precision calculations based on BigInteger .Net Framework 4.0 new feature.Reasons for new version:development of a high precision frameworkSummary of revisions:• high precision framework based on the new BigInteger .Net Framework 4.0 structure• high precision relativistic many-body engine• concrete application: using 46 digit precision for analyzing the gravitational Butterfly Effect in a specific relativistic nuclear collision toy-model• CMBE Reactions Module Bug Correction: in the particular case of two identical particles head-on collision, reactions were not treated in earlier versions of CMBE.• Chaos Analysis: implementation of a new measure “Average Y” for computing the average of any function loaded in this module.• Chaos Analysis: implementation of the phase space distance between two many-body systems, as a function of time.• Chaos Analysis: Implementation of a decimal version of the Chaos Analysis module.• Chaos Analysis: Implementation of some usual relativistic formulas for facilitating processing of Monte Carlo log files (Analysis∖Relativistic Formulas XLS).Additional comments:XCopy deployment strategy.Running time:Quadratic complexity, around 2 h for one C+C event, 50 Fm/c, on a dual core @ 2.0 GHz CPU