Ph d thesis summary multiple nuclear fragmentation processes and the dynamics of chaos. Applications to phase transitions in nuclear matter




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Ph D THESIS SUMMARY




MULTIPLE NUCLEAR FRAGMENTATION PROCESSES AND THE DYNAMICS OF CHAOS. APPLICATIONS TO PHASE TRANSITIONS IN NUCLEAR MATTER



CRISTIAN - CONSTANTIN BORDEIANU




Scientific Supervisor:

Prof. Dr. CĂLIN BEŞLIU




BUCUREŞTI


2009


Contents


List of the published papers 3


Chapter 1 .The analysis of predictions in the study of time evolution of the dynamical systems 9


1.1 INTRODUCTION 9


1.2 CHAOS ANALYSIS METHODS 9


1.3 SCILAB SOFTWARE FOR THE STUDY OF DYNAMICAL SYSTEMS 12


Chapter 2. The chaotic behavior of bound nucleons systems 13


2.1 INTRODUCTION 13


2.2 THE 2D MODEL 13


2.3 THE CHAOS ANALYSIS OF THE 2D DYNAMICAL SYSTEM 14


2.4 THE 3D MODEL 20


2.5 THE CHAOS ANALYSIS OF THE 3D DYNAMICAL SYSTEM 22


Chapter 3. Chaotic dynamics applied to the quark systems 27


    1. INTRODUCTION 27




    1. THE TOY MODEL 27




    1. THE CHAOS ANALYSIS OF THE DYNAMICAL SYSTEM 28


Selected references 34


LIST OF THE PUBLISHED PAPERS


This thesis is based on the following works written by the author:


BOOKS:

  1. 1. Rubin H. Landau, R. Wangberg, K. Augustson, M.J. Paez, C.C. Bordeianu, C. Barnes, A First Course in Scientific Computing Symbolic, Graphic and Numeric Modeling via Maple, Java, Mathematica and Fortran, 472 pages, Princeton University Press, 2005.



  2. 2. Rubin H. Landau, Manuel J. Paez, Cristian C. Bordeianu, Computational Physics. Problem Solving with Computers, 2nd, 594 pages, Wiley VCH, July 2007.




  1. 3. Rubin H. Landau, Manuel J. Paez, Cristian C. Bordeianu, A Survey of Computational Physics. Introductory Computational Science, 654 pages, Princeton University Press, July 2008.


PAPERS PUBLISHED IN INTERNATIONAL SCIENTIFIC JOURNALS (ISI):


  1. 1. Cristian C Bordeianu, Daniel Felea, Călin Besliu, Alexandru Jipa, Ioan V. Grossu, Chaos analysis of a semi-classical nuclear billiard model. Computer Physics Communications, Vol.178, 10, 788-793, 2008.




  1. 2. Cristian C Bordeianu, Calin Besliu, Alexandru Jipa, Daniel Felea, Ioan V Grossu, Scilab software package for the study of dynamical systems. Computer Physics Communications, Vol.179, 1-3, 199-201, 2008.



  2. 3. C. Besliu, Al. Jipa, V. Covlea, M. Calin, T. Esanu, I.V. Grossu, B. Iliescu, C. Bordeianu, A. Scurtu, A. Jinaru, Some predictions on ‘microscopic Hubble constant’ for the energies available at FAIR – GSI., Nuclear Physics A, Vol. 820,1-4, 235-238, 2009




  1. I.V. Grossu, C. Besliu, Al. Jipa, C.C. Bordeianu, D. Felea, Visual tool for estimating the fractal dimension of images, Computer Physics Communications, Volume 180, Issue 10, October 2009, 1999-2001.




  1. Cristian C Bordeianu, Rubin H Landau, Manuel J Paez, Wavelet analyses and applications, European Journal of Physics, Volume 30, Issue 5, September 2009, Pages 1049–1062.




  1. C.C. Bordeianu, D. Felea, C. Beşliu, Al. Jipa, I.V. Grossu, A new version of Scilab software package for the study of dynamical systems, Volume 180, Issue 11, 11 November 2009, Pages 2398-2399.








PAPERS PUBLISHED IN NATIONAL SCIENTIFIC JOURNALS (ISI):


  1. D. Felea, Al. Jipa, C. Besliu, I. V. Grossu, C. Bordeianu, A.Gheata, I.S.Zgura, On the nuclear fragmentation mechanisms in nuclear collisions at intermediate and high energies, Romanian Reports in Physics, Volume 56, Number 4, 2004, Pages 577-601.




  1. A. Baldin, C. Argintaru, D. Argintaru, C. Besliu, C. C. Bordeianu, M. Calin, T. Esanu, I. V.Grossu, B.Guskov, A. Jipa, M. Kadykov, S. Semashko, Some Experimental Results from MARUSYA Experiment, Romanian Reports in Physics, Volume 60, Number 1, 2008, Pages 71-78.




  1. C. C. Bordeianu, D. Felea, C. Besliu, Al. Jipa, I. V. Grossu, Chaos analysis of nuclear stability using a classical billiard model, Romanian Reports in Physics, Volume 60, Number 2, 2008, Pages 287-297.





PRE-PRINTS:


  1. 1. I.V. Grossu, C. Besliu, A. Jipa, D. Felea, C.C. Bordeianu, Semiclassical study on Proton and Neutron, arXiv:0707.2055 [nucl-th] (2007).



  2. 2. I.V. Grossu, C. Besliu, A. Jipa, D. Felea, C.C. Bordeianu, Object oriented .Net Engine for the Simulation of Three-Dimensional, Relativistic Many-Body Systems,arXiv: 0810.0719 [physics.comp-ph] (2008).




  1. 3. I.V. Grossu, C. Besliu, A. Jipa, D. Felea, C.C. Bordeianu, Some phenomenological considerations on the nuclear collisions at high energies, arXiv:070.2245v7 [hep-ph] (2007).


PAPERS PUBLISHED IN PROCEEDINGS:

  1. 1. C.C. Bordeianu, C. Besliu, A. Jipa, D. Felea, Numerical simulation of nucleon systems using a billiard model, the International Conference in Computational Science and Education (ICCSE 2006), Rochester, New York, USA, 7-10 August 2006 (electronic proceedings).



  2. 2. C. C. Bordeianu, D. Felea, C. Besliu, Al. Jipa, I. V. Grossu, Chaos Analysis of a Semi-classical Nuclear Billiard Model, 2007 Conference on Computational Physics (CCP 2007) , Université Libre de Bruxelles , 5-8.09.2007






  1. 3. C. C. Bordeianu, C. Beşliu, Al. Jipa , D. Felea , I. V. Grossu and T. Eşanu, Stability study for quark systems using a semi-classical billiard model, Chaotic Modeling & Simulation International Conference(Chaos 2008), Crete, Greece, 3-6.06.2008, Ed. Christos H. Skiadas (electronic proceedings)



  2. C. C. Bordeianu, C. Beşliu, Al. Jipa , D. Felea , I. V. Grossu and T. Eşanu, Stability study for quark systems using a semi-classical billiard model,

  3. Topics on Chaotic Systems: Selected Papers from Chaos 2008 International Conference, World Scientific Publishing Company, 2009




PAPERS PRESENTED AT INTERNATIONAL CONFERENCES:

  1. 1. Daniel Felea, Călin Beşliu, Cristian Bordeianu, Alexandru Jipa, Valeriu Grossu, Oana Ristea,Cătălin Ristea, Emil Stan, The onset of nuclear fragmentation through nonlinear dynamics(co-author), Gordon Nuclear Physics 2003,Waterville, Maine, USA, July 2003, poster presentation



  2. 2. R.Landau, C.Bordeianu, Teaching the Tools of Computational Science , International Conference on Fundamental and Applied Research in Physics,

  1. FARPhys 2005 , Universitatea Al. I.Cuza,Iasi, 26-28.10.2005, poster presentation.




  1. 3. C. C. Bordeianu, D. Felea, C. Besliu, Al. Jipa, I. V. Grossu, Chaos Analysis of a Semi-classical Nuclear Billiard Model, 2007 Conference on Computational Physics , Université Libre de Bruxelles , 5-8.09.2007 , poster presentation.



  2. 4. C. C. Bordeianu, C. Beşliu, Al. Jipa , D. Felea , I. V. Grossu and T. Eşanu, Stability study for quark systems using a semi-classical billiard model, Chaotic Modeling & Simulation International Conference(Chaos 2008), Crete, Greece, 3-6.06.2008, oral presentation.




  1. Al. Jipa , V. Covlea, C. Beşliu, I. Lazanu, M. Călin, T. Eşanu, D. Felea, I. S. Zgură, D. Argintaru, M. Cherciu, M. Potlog, C. Mitu, A. Sevcenco, B. Iliescu, C. C. Bordeianu, E. Firu, Ş. Velica, V. C. Pavel, A. Neagu, A. Scurtu, C. Badea, A. Stanciu, A. Jinaru, Classical plasma and quark-gluon plasma. Possible common ways in their characterization, Quark Matter 2008, Jaipur, India, poster presentation.


6. Al. Jipa , C. Beşliu, I. Lazanu, M. Călin, T. Eşanu, D. Felea, I. S. Zgură, D.Argintaru, V. Covlea, M. Cherciu, M. Potlog, I. Grossu, C. Mitu, A. Sevcenco, B. Iliescu, C. C. Bordeianu, E. Firu, Ş. Velica, V. C. Pavel, A. Neagu, A. Scurtu, C. Badea, A. Stanciu, E. Stan, A. Jinaru, New results for a “microscopic Hubble constant” from relativistic nuclear collisions, Quark Matter 2008, Jaipur, India, poster presentation.


PAPERS PRESENTED AT NATIONAL CONFERENCES AND PUBLISHED

IN ABSTRACTS:

  1. 1. Călin Besliu, Alexandru Jipa, Dan Argintaru, Florin Constantin, Daniel felea, Ion Sorin Zgura, Catalin Ristea, Oana Ristea, Bogdan Iliescu, Emil Stan, Elena Stefan, Marius Calin, Ionut Arsene, Ciprian Mitu, Mihai Potlog, Amelia Horbuniev, Cristian Bordeianu, et. al, Some comments on the behavior of the excited nuclear matter formed in nuclear collisions at high energies(co-author), Bucharest University Physics Department 2003 Meeting, Bucharest, Romania, oral presentation, May 2003.




  1. 2. D.Felea, Al.Jipa, C.Besliu, I.V.Grossu, C.Bordeianu, A.Gheata, I.S.Zgura , On the nuclear fragmentation mechanisms in nuclear collisions at intermediate and high energies (co-author), Bucharest University Physics Department 2004 Meeting, Bucharest, Romania, oral presentation, May 2004.




  1. 3. C.Bordeianu, C.Besliu, A.Jipa, D.Felea, Stability study for quark systems using a semi-classical billiard model, National Physics Conference ,Bucharest, poster presentation,12-17.09.2005.




  1. 4. C.C. Bordeianu, C. Besliu, Al.Jipa, D.Felea, Chaos and Nuclear Stability in a Classical Nuclear Billiard, 2006 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation, 26.05.2006.



  2. 5. D.Felea ,C.C. Bordeianu, C. Besliu, Al.Jipa, The Study of Intermittent Dynamical Systems by using Maximal Lyapunov Exponents in Logarythmic Scale Applied to Sinai Nuclear Billiard, 2006 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,26.05.2006.




  1. 6. C.C. Bordeianu, C. Besliu, Al.Jipa, D.Felea,Numerical Simulation of Quarks Systems Using a Semi-Classical Billiard Model, 2006 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,26.05.2006.



  2. 7. C. Besliu, Al.Jipa, M. Calin, O.Ristea, T.Esanu, A. Horbuniev, D.Felea, I.S.Zgura, C.Ristea, E.Stan, I.Arsene, C.Mitu, M.Potlog, A.Svecenco, M.I.Cherciu, D.Argintaru, C.C.Bordeianu, I.V.Grossu, On a Hubble Scale in Relativistic Nuclear Collisions, 2006 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,26.05.2006.




  1. 8. C.C.Bordeianu, C.Besliu, Al. Jipa, D. Felea, V.Grossu, Pachet de programe Scilab pentru analiza sistemelor haotice,Physics and Modern Educational Technologies Conference, University Al. I. Cuza, Jassy, Romania, 18.05.2007.



  2. 9. C. C. Bordeianu, D. Felea, C. Besliu, Al. Jipa, I. V. Grossu, Numerical simulation of nucleon systems using a classical billiard model, 2007 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,1.06.2007.




  1. 10. D. Felea, A. Sevcenco, C. Besliu, C.C. Bordeianu, A.G. Gheata, M. Gheata, I.V. Grossu, M. Haiduc, D. Hasegan, Al. Jipa, C. Mitu, A.A. Radu, M. Rujoiu, Jet physics algorithms, 2007 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,1.06.2007 .



  2. 11. I. V. Grossu , C. Besliu, Al. Jipa, D. Felea, C. C. Bordeianu, Study of quarks many body systems at relativistic energies, 2007 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,1.06.2007 .




  1. 12. Alexandru Jipa, Vania Covlea, Călin Besliu, Oana Ristea, Marius Calin, Tiberiu Esanu, Cristian Bordeianu, Valentin Grossu, Valentin Cornel Pavel, Adrian Scurtu, Cornel Badea, Alexandru Stanciu, Adam Jinaru, Bogdan Diaconescu, Alin Popescu, Dan Argintaru, Ion Sorin Zgura, Catalin Ristea, Ionut Arsene, Daniel Felea, Emil Stan, Ciprian Mitu, Mihai Potlog, Madalin Cherciu, Adrian Sevcenco, Classical plasma and qurk gluon plasma, 2007 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,1.06.2007.



  2. 13. Calin Besliu, Alexandru Jipa, Vania Covlea, Oana Ristea, Marius Calin, Tiberiu Esanu, Cristian Bordeianu et. al. , Some comments on the nuclear fragmentation in proton nucleu collisions at 8 GeV and 12 GeV, 2007 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,1.06.2007.




  1. 14. Alexandru Jipa, Calin Besliu, Ionel Lazanu, Vania Covlea , Dan Argintaru, Emil Stan, Madalin Cherciu, Marius Calin, Tiberiu Esanu, Adrian Scurtu, Stefania Velica, Cristian Bordeianu, On the phase transitions in nuclear matter. CBM-FAIR perspective, 2008 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,6.06.2008 .




  1. 15. Anton Baldin, Dan Argintaru, Alexandru Jipa, Elina Baldina, Calin Besliu, Marius Calin, Tiberiu Esanu, Eugenia Badita, Cristian Bordeianu, Vania Covlea, Stefania Velica, On the behaviour of the nuclear matter in the transitory region using MARUSYA Experiment results, 2008 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation, 6.06.2008.



  2. 16. V. Grossu, C. Besliu, Al. Jipa, D. Felea, C. Bordeianu, Study on Quark Many-Body Systems at Relativistic Energies, 2008 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,6.06.2008.




  1. 17. Rubin H. Landau, Cristian C. Bordeianu, Computational Physics. A Better Model for Physics Education?, National Physics Conference, Bucharest, oral presentation, 10-13.09.2009.


18. Cristian C. BORDEIANU, Daniel FELEA , Calin BESLIU, Alexandru JIPA, Valentin GROSSU, Tiberiu ESANU, An improved semi-classical nuclear billiard model for the decay widths of Isoscalar Giant Monopole Resonances, 2009 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,5.06.2009


  1. I.V. Grossu, C. Besliu, Al Jipa, C.C. Bordeianu, D Felea, E Stan, Code C# for many-body simulation based on dynamics of chaos, 2009 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,5.06.2009




  1. Rubin H. Landau , Manuel J. Paez , Cristian C. Bordeianu , Computational Physics with Python, 2009 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,5.06.2009




  1. Alexandru JIPA, Calin BESLIU, Ionel LAZANU, Marius CALIN, Vania COVLEA, Dan ARGINATRU, Tiberiu ESANU, Adam JINARU, Adrian SCURTU, Stefania VELICA, Cristian BORDEIANU, Bogdan ILIESCU, Ion BULFAS, Remus PAUN, Catalin PADURARU, Some predictions for Au-Au collisions at FAIR energies, using CBM experimental set-up, 2009 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,5.06.2009




  1. C. Besliu , I. V. Grossu , Al. Jipa , C. C. Bordeianu , D. Felea , The analysis of α-Cu nuclear collision at 4.5 A GeV/c, using a C# many-body code simulation, 2009 Annual Scientific Conference, Faculty of Physics, University of Bucharest, oral presentation,5.06.2009
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