Hyper-Fractal Analysis: A visual tool for estimating the fractal dimension of 4D objects

Grossu, Ioan Valeriu; Felea, D.; Beşliu, C.; Jipa, Al.; Eşanu, T.; Bordeianu, Cristian C.; Stan, E.

doi:10.1016/j.cpc.2012.11.018

Cited by 7 publications

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“…Based on the BigInteger and BigRational .Net Framework 4.0 new features, we developed a C# [4,5] high precision [3] relativistic many-body framework, fully integrated with Chaos Many-Body Engine [1,2]. Working with 46 digits precision involves important performance limitations.…”

Section: Discussionmentioning

confidence: 99%

“…The "Chaos Many-Body Engine" library is designed as a flexible, general numerical solution for the simulation of three-dimensional relativistic many-body systems. In order to benefit from the latest technologies advantages, the code was first migrated to .Net Framework 4.0 [2].…”

Section: Program Descriptionmentioning

confidence: 99%

“…Engine.dll. The high precision many-body library was developed by analogy with the existing many-body engine [1,2]. Thus, the BigParticle class abstracts a material point and provides some basic scalar and vectorial properties (rest mass, movement mass, electric charge, velocity, force etc.).…”

Section: Program Descriptionmentioning

confidence: 99%

“…

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 [1,2]. 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.

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confidence: 99%

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High precision framework for chaos many-body engine

Grossu

Beşliu

Felea

et al. 2014

Computer Physics Communications

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Section: Discussionmentioning

confidence: 99%

Section: Program Descriptionmentioning

confidence: 99%

Section: Program Descriptionmentioning

confidence: 99%

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High precision framework for chaos many-body engine

Grossu

Beşliu

Felea

et al. 2014

Computer Physics Communications

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“…clusters of galaxies) [15]. On the other hand, the time reverse functionality implemented in CMBE v03 [16] could be used together with retardation for analyzing the Loschmidt paradox [14].…”

Section: Introductionmentioning

confidence: 99%

Implementation of quark confinement and retarded interactions algorithms for Chaos Many-Body Engine

Grossu

Beşliu

Jipa

et al. 2019

Computer Physics Communications

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In Grossu et al. (2012) we presented a Chaos Many-Body Engine (CMBE) toy-model for chaos analysis of relativistic nuclear collisions at 4.5 A GeV/c (the SKM 200 collaboration) which was later extended to Cu + Cu collisions at the maximum BNL energy. Inspired by existing quark billiards, the main goal of this work was extending CMBE to partons. Thus, we first implemented a confinement algorithm founded on some intuitive assumptions: 1) the system can be decomposed into a set of two or three-body quark white clusters; 2) the biparticle force is limited to the domain of each cluster; 3) the physical solution conforms to the minimum potential energy requirement. Color conservation was also treated as part of the reactions logic module. As an example of use, we proposed a toy-model for p + p collisions at √ = 10 GeV and we compared it with HIJING. Another direction of interest was related to retarded interactions. Following this purpose, we implemented an Euler retarded algorithm and we tested it on a simple two-body system with attractive inverse-square-law force. First results suggest that retarded interactions may contribute to the Virial theorem anomalies (dark matter) encountered for gravitational systems (e.g. clusters of galaxies). On the other hand, the time reverse functionality implemented in CMBE v03 could be used together with retardation for analyzing the Loschmidt paradox. Regarding the application design, it is important to mention the code was refactored to SOLID. In this context, we have also written more than one hundred unit and integration tests, which represent an important indicator of application logic validity.

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Fractal Analysis in MATLAB: A Tutorial for Neuroscientists

Miras

2016

Springer Series in Computational Neuroscience

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Hyper-Fractal Analysis: A visual tool for estimating the fractal dimension of 4D objects

Cited by 7 publications

References 0 publications

High precision framework for chaos many-body engine

High precision framework for chaos many-body engine

Implementation of quark confinement and retarded interactions algorithms for Chaos Many-Body Engine

Fractal Analysis in MATLAB: A Tutorial for Neuroscientists

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