1 Laboratory of Information Technologies Mathematical support of experimental and theoretical studies conducted by JINR (Grounds for opening a new theme

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Laboratory of Information Technologies

Mathematical support of experimental and theoretical studies conducted by JINR

(Grounds for opening a new theme in the Topical Plan for JINR Research in 2005 - 2009)

Field of Research: 09 - Networking, computing and computational physics

Leaders: V.V. Ivanov, Gh. Adam, P.V. Zrelov

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Scope and Intent of the Present ProposalScope and Intent of the Present Proposal

Follow from the previsions of the

“Scientific Programme for the Development of the Joint Institute for Nuclear Research during 2003 – 2009”(Document 11 – 8177, Dubna 2003, pp. 9, 20, 89 – 96)

Follow from the previsions of the

“Scientific Programme for the Development of the Joint Institute for Nuclear Research during 2003 – 2009”(Document 11 – 8177, Dubna 2003, pp. 9, 20, 89 – 96)

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Presentation Topics

1. Bird’s-eye-view on the project

2. Main Tasks

3. Main Directions of Investigation

4. Review of existing expertise

5. Financial Aspects

6. Conclusion

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INPUTPhysical Model

(Phenomenon, Data)

INPUTPhysical Model

(Phenomenon, Data)

METHODSMathematical modeling &

Data analysis

METHODSMathematical modeling &

Data analysis

ALGORITHMS& Software

ALGORITHMS& Software

PROCESSHardware

PROCESSHardware

INSIGHTINSIGHT

OUTPUT+ Visualization

graphics

OUTPUT+ Visualization

graphics“Computingis insight,not numbers”

“Computingis insight,not numbers”

Richard HammingRichard Hamming

Bird’s-eye-viewBird’s-eye-view

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Presentation Topics


2. Main Tasks




6. Conclusion

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I. Methods and tools for modeling physical processes and experimental data analysis

II. Methods and numerical algorithms for modeling magnetic systems and charged particle beam transport

III. Software and computer complexes for experimental data processing

IV. Numerical algorithms and software for the simulation of complex physical systems

V. Methods, algorithms and software of computer algebra

VI. New generation computing tools







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New mathematical methods for modeling physical processes, based on Monte-Carlo approach, artificial neural networks, cellular automata, etc.

New methods for experimental data analysis based on wavelets, fractals, fuzzy logics, genetic algorithms, DNA and membrane computing, artificial immune systems

Implementation of the obtained results in software devoted to experimental research

Applications to particle physics, nuclear physics, condensed matter, and other areas of science and engineering (biology, medicine, economics, industry, etc.)

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Modeling the motion of charged particles in inhomogeneous electromagnetic fields in geometries imposed by the realization of facilities of interest

Development and maintenance of efficient numerical algorithms and computer codes

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I. Methods and tools for modeling physicalprocesses and experimental data analysis






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Mathematical support of the experiments ALICE, ATLAS, CMS, COMPASS, DIRAC, EXCHARM, CBM, PANDA, OPERA, GIBS, NIS, DUBTO, E391a, HERA-B, STAR, COMBAS, TESLA, THERMALIZATION, including modeling of experimental setups and detectors like RICH, SiDC, etc.

Software development and maintenance Calculations, development of algorithms, data

processing and analysis Development of distributed systems for data

processing

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Contributions to the development of mathematical models for the description of complex physical systems

New specific and general purpose algorithms and software for solving mathematical tasks of physical problems

Applications of the developed algorithms and software to the solution of physical problems in JINR studies

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Design and implementation of involutive algorithms for investigation and solving systems of algebraic and partial differential equations

Automatic generation of finite-difference schemes for differential equations preserving their internal algebraic properties

Applications of the algorithms and software developed to investigation of modern gauge field theories

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- (a) New generation computer networks -

Participation in LCG-project (LHC Computing Grid) in the Application Area tasks

Elaboration of validation methods for event generators

Development of a Web Interface and Database for comparison and testing of different event generators codes (similar to JETWEB)

Development of models and methods for analysis of traffic in information networks

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- (b) Quantum computing paradigm -

Investigation of alternative models of quantum computing as compared to the standard model

Physical realization issues

- (c) Computing biology and bioinformatics -

Development and application of new information technologies based on computing biology and bioinformatics

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Presentation Topics


2. Main Tasks




6. Conclusion

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LPP26%

DLNP25%

BLTP19%

FLNP6%

LIT5%

VBLHE3%

LHCb10%

System4%

FLNR2%

ATLAS,CDF,D0,DIRAC, HARP,E391A,COMPASS,

NEMO,etc.

CMS

ALICE

JINR Central Computing and Informational

ComplexCPU – 4.3 KSPI95,

Disk space – 7.7 TB, ATL tape -16.8 TB

Total CPU time in 20033536066.51 kiloSPECint2000*min

(8664 hours)

LPP

VBLHE

25%

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Mathematical methods for modeling nuclear physics processes

Nuclear interactions atintermediate energies:computation of potentialsand cross sections

Nuclear interactions atintermediate energies:computation of potentialsand cross sections

E.V. Zemlyanaya,K.V. Lukyanov (LIT),V.K. Lukyanov (BLTP),B. Slovinski (Poland),K.M. Hanna (Egypt) (2003)

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Mathematical methods for modeling atomic physics processes

Ionization of heliumin fast collisions withenergetic U projectiles

Ionization of heliumin fast collisions withenergetic U projectiles

A.V. Selin (LIT), A.M. Ermolaev, C.J. Joachain (Belgium) (2003)

Theoretical prediction of theionization peaks raises the needof more accurate experiments

Theoretical prediction of theionization peaks raises the needof more accurate experiments

Variational w.f. One-electron w.f.

U projectiles energy:1 GeV/n

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Modeling interaction of particle beams with condensed matter

Time dependence of the temperature (T=T/293K, t=t/t*, t*=3 X 10-7 s) at various depths inside the samplel = 0.1k l0; k=0,1,2,3; l0=10-5m

Time dependence of the temperature (T=T/293K, t=t/t*, t*=3 X 10-7 s) at various depths inside the samplel = 0.1k l0; k=0,1,2,3; l0=10-5m

Dependence of maximumvaporization depth on beam intensity q0/q*,q*=2.1 X 1017 W/m3

Dependence of maximumvaporization depth on beam intensity q0/q*,q*=2.1 X 1017 W/m3

I.V. Amirkhanov,E.V. Zemlyanaya,I.V. Puzynin,T.P. Puzynina,N. Sarkar,I. Sarhadov (2003)

Modeling the propagation of thermo-elastic waves in metals

bombarded withintense ionic bullets

Modeling the propagation of thermo-elastic waves in metals

bombarded withintense ionic bullets

(In the frame of futurecollaboration with

FLNR)

(In the frame of futurecollaboration with

FLNR)

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Simulation based on cellular automata approach

Self-organization processes inUO2 nuclear fuelat high burn-ups

Self-organization processes inUO2 nuclear fuelat high burn-ups

Burn-up structure variation (quick growth of bubble’s volume and disappearance of small bubbles).

Burn-up structure variation (quick growth of bubble’s volume and disappearance of small bubbles).

54.8 GWd/tM 65.0 GWd/tM

Original micrograph (left).Ising CA simulation showspores coalescence anddissolution under raise of temperature.

Original micrograph (left).Ising CA simulation showspores coalescence anddissolution under raise of temperature. I. Antoniou (Greece), E.P. Akishina, B.F. Kostenko,

V.V. Ivanov (LIT), A.D. Stalios (Belgium) (2003)

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Experimental data analysis based on wavelet analysis

Angular Distributions of Secondary Particles in High Energy Nucleus-Nucleus Interactions. Irregularity of Particle Pseudo-rapidity Distributions

Angular Distributions of Secondary Particles in High Energy Nucleus-Nucleus Interactions. Irregularity of Particle Pseudo-rapidity Distributions

V.V. Uzhinsky, G.A. Ososkov, A. Polanski, (LIT), V.Sh. Navotny Uzb),M.M. Chernyavski (FIAN) (2003)

1: X1002: X10

S+Em200GeV/n

S+Em200GeV/n

O+Em200GeV/n

O+Em200GeV/n

O+Em60GeV/n

O+Em60GeV/n

Histogram bin = 0.1

Histogram bin = 0.2

[NIKFI BR-2 nuclear photo-emulsion CERN SPS data]

[NIKFI BR-2 nuclear photo-emulsion CERN SPS data]

jet existence

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Experiment ALICE (LHC, CERN)Experiment ALICE (LHC, CERN)

Computer model of magnetic system Computer model of magnetic system

Distribution of the main component in the median plane of the dipole magnet Distribution of the main component in

the median plane of the dipole magnet

Modeling magnetic field inside facility

LIT-VBLHE collaboration in the frame of ALICE experiment

LIT-VBLHE collaboration in the frame of ALICE experiment

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i j

t12

2

1

0

W

Two-subband effective Hubbard model: AFM exchange pairingTwo-subband effective Hubbard model: AFM exchange pairing

Estimate in WCA gives for Tcex :

N.M. Plakida (BLTP), L. Anton, S. Adam, Gh. Adam (Romania) (2003)

Modeling complex physical systems

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2

i j

10

s

s

W

Estimate in WCA gives for Tcsf :


Two-subband effective Hubbard model: Spin-fluctuation pairingTwo-subband effective Hubbard model: Spin-fluctuation pairing


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Two-subband effective Hubbard model: NUMERICAL RESULTSTwo-subband effective Hubbard model: NUMERICAL RESULTS

d-wavegap

∆(kx, ky)

d-wavegap

∆(kx, ky)

T = 0

T= 0.5 Tc

T= 0.9 Tc

Tc ( teff units)

vs. doping

Tc ( teff units)

vs. doping


Spin-fluctuation

AFM exchange

Total Tc

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Thermal processes in materials irradiated by ion beams

Lattice temperature of a-Ge around Pb ion trajectory at stopping power 18 keV/nm vs. the distance from the track center and the time. Notice the non-analytical character of the solution.

Lattice temperature of a-Ge around Pb ion trajectory at stopping power 18 keV/nm vs. the distance from the track center and the time. Notice the non-analytical character of the solution.

Modeling temperature distribution of track formation

in Si3N4 within the TSM.

Curve 1: around 245 MeV Kr ion (predicts track absence). Curve 2: around 710 MeV Bi ion (predicts track of radius r0).

Predictions agree with FLNR experiment.

Modeling temperature distribution of track formation

in Si3N4 within the TSM.

Curve 1: around 245 MeV Kr ion (predicts track absence). Curve 2: around 710 MeV Bi ion (predicts track of radius r0).

Predictions agree with FLNR experiment.

E.A. Ayrjan,B.F. Kostenko,I.V. Puzynin,J. Pribis, (LIT),V.A. Skuratov (FLNR)

(2002)

Numerical simulation of heat relaxationprocesses within the thermal-spike model (TSM)

Numerical simulation of heat relaxationprocesses within the thermal-spike model (TSM)

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Collapse of interacting massless guage fieldsCollapse of interacting massless guage fields

E.E. Donets (VBLHE), E.A. Ayrjan, O.I. Streltsova, T.L. Boyadjiev (LIT), D. Georgieva (Bulgaria) (2003)

-12 -6 0 6 12 18 24

-0,8

-0,4

0,0

0,4

0,8

1,2

1,6

-5 0 5 10 15 20 25 30-1

0

1

2

3

4

5

=-0.5072593fD

C

B

A

D

CB

A

T-tr =

f(,

t)

ln()

N0

T-t=2.1507 10-6

T-t=1.3359 10-7

T-t=8.7338 10-10

T-t=1.4824 10-11

=2.1214115C

D

B

A

DCBA

(

,t)

ln()

N0

T-t=2.1507 10-6

T-t=1.3359 10-7

T-t=8.7338 10-10

T-t=1.4824 10-11

Self-similarity and singularity formation in a coupled system of Yang-Mills-dilaton evolution equations

Self-similarity and singularity formation in a coupled system of Yang-Mills-dilaton evolution equations

Late-time evolution of the solution of a Cauchy problem prior to the blowup.YM profiles (top) and dilaton profiles (bottom) approach the self-similar solution N=0 (dashed line)

Late-time evolution of the solution of a Cauchy problem prior to the blowup.YM profiles (top) and dilaton profiles (bottom) approach the self-similar solution N=0 (dashed line)


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Design of involutive algorithms

Design of involutive algorithms

V.P. Gerdt, D.A. Yanovich (LIT), M. Znojil (Czech R.) (2003)

Symbolic-numeric solvingof multivariate polynomialsystems with finitely manyroots.

APPLICATION: a new type ofexact solvability of high-dimensionalSchrödinger equation in centralpolynomial potential was found.

APPLICATION: a new type ofexact solvability of high-dimensionalSchrödinger equation in centralpolynomial potential was found.

Structure of the program complex

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Participation in LCG-project

Fixed Bug in the HIJING Monte Carlo Model

secures energy conservation

Fixed Bug in the HIJING Monte Carlo Model

secures energy conservation

V.V. Uzhinsky (2003)

Web pages: http://lcgapp.cern.ch/project/simu/generator/HIJINGhttp://lcgapp.cern.ch/cgi-bin/viewcvs/viewcvs.cgi/simu/GENSER/?cvsroot=Simulation

Monte Carlo event generatorserver (GENSER)

Monte Carlo event generatorserver (GENSER)

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Quantum computing - Physical realization issues

V.V. Ivanov, B.F. Kostenko, (LIT), Yu.F. Kiselev, (VBLHE),V.D. Kuznetsov, (FLNR), M.V. Miller, A.V. Sermyagin (IPTP) (2003)

Layout of the experimentLayout of the experimentLow-temperature refrigerator with nuclear targetsand particle detectors Low-temperature refrigerator with nuclear targetsand particle detectors

Quantum Teleportation of Nuclear Matter Quantum Teleportation of Nuclear Matter

Preparation of spinentangled states

in scattering processes

Preparation of spinentangled states

in scattering processes

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Financial Aspects

Financing sources: From the direction:

09 - Networking, computing and

computational physics

Grants from JINR Member States

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Final Remarks:Final Remarks:

• 24 themes in JINR foresee LIT collaboration in the next years

• Letters of support of the new theme, after the formulation of the present proposal, at the beginning of February, received from: - Plenipotentiary Representatives of Slovakia, Armenia, Moldova - Bogolubov Laboratory of Theoretical Physics - Universities and Research Centres from Russia, Armenia, Slovakia, Bulgaria, Romania - A member of JINR Scientific Council• Additional letters addressing specific problems, from: FLNP, DLNP, VBLHE, LPP, BLTP, FLNR, DRRR

• 24 themes in JINR foresee LIT collaboration in the next years

• Letters of support of the new theme, after the formulation of the present proposal, at the beginning of February, received from: - Plenipotentiary Representatives of Slovakia, Armenia, Moldova - Bogolubov Laboratory of Theoretical Physics - Universities and Research Centres from Russia, Armenia, Slovakia, Bulgaria, Romania - A member of JINR Scientific Council• Additional letters addressing specific problems, from: FLNP, DLNP, VBLHE, LPP, BLTP, FLNR, DRRR

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Conclusion:

We ask for PAC approval of the opening of the first priority research theme:

“Mathematical support of experimental and theoretical studies conducted by

JINR”for 2005 – 2009

Field of Research: 09 - Networking, computing and computational physics

Leaders: V.V. Ivanov, Gh. Adam, P.V. Zrelov

Documents

1 Laboratory of Information Technologies Mathematical support of experimental and theoretical studies conducted by JINR (Grounds for opening a new theme