THEME05-6-1060-2005/2013

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05-6-1060-2005/2013

Priority:

Status:

Approved for completion
in 2013

Mathematical Support of Experimental and Theoretical Studies Conducted by JINR

Leaders:

V.V. Ivanov
Gh. Adam
P.V. Zrelov

Participating Countries, Institutes and International organizations:
Armenia, Australia, Belarus, Belgium, Brazil, Bulgaria, Canada, CERN, Chile, Czech Republic, Egypt, France, Georgia, Germany, Greece, Italy, Japan, Kazakhstan, Moldova, Mongolia, Poland, Portugal, Romania, Russia, Slovak Republic, South Africa, Sweden, Switzerland, Taiwan, Tajikistan, Ukraine, USA, Vietnam.
Scientific Programme:
Performance of top research in the field of computational mathematics and computational physics aimed at solving specific problems arising in experimental and theoretical studies conducted with the participation of JINR. Simulations of physical processes within experimental installations. Algorithm implementation into efficient and reliable hardware adapted programs. The successful realization of such research efforts assumes: development of new mathematical methods and tools for modeling physical processes and experimental data analysis; creation of methods and numerical algorithms for modeling magnetic systems; elaboration of software and computer complexes for experimental data processing; elaboration of numerical algorithms and software for the simulation of complex physical systems; development of methods, algorithms and software of computer algebra; contribution to the development of the new generation computing tools. Application of the developed methods and algorithms to other topics in science and technology (nanotechnology, biology, medicine, economy, industry, etc.)

Expected main results in 2013:

Mathematical modeling and development of algorithms and software for the investigation of transmutation and fragmentation processes of atomic nuclei.

Database development for the "Cascade" package.

Increasing the predictive quality of the basic program for the simulation of the LHC setups in the Geant4 toolkit by implementing quark-gluon string model and by fine tuning model parameters.

Simulations of the scattering of radioactive isotopes of light nuclei by protons and nuclei within a hybrid microscopic model. Microscopic modeling of pion-nuclear elastic scattering.

Extension of the SAS program to cope with the modernization of the electron accumulation channel of the YUMO spectrometer.

New software development to manage the planned new type position-sensitive detector.

Development of a dynamically adapted neural network architecture for changing environments.
Elaboration of algorithms and software modules for highly precise solution of nonlinear 3D magnetostatic problems based on the use of nested meshes.

Computer simulations of the superconducting dipole magnet CBM (FAIR, GSI), optimization of parameters of the superconducting dipole and quadrupole magnets of accelerators SIS100 (FAIR, GSI) and NICA (JINR).

Computer modeling of the modernization of the spectrometric magnet for nuclear physics experiments.

Optimization of the methods of modeling the beam dynamics for the multipurpose isochronous cyclotron.
Development of fast algorithms for event reconstruction exploiting the today computer environments (experiments CBM and BM@N). Development of new methods for rare process identification in the CBM experiment.

Modernization of the remote access to the Control Room ATLAS.

Theoretical and numerical study of effects enabling derivation of improved accuracy on the -scattering lengths from the raw DIRAC experiment data.

Development of methods and programs for the analysis of neutron-diffraction spectra obtained in IBR-2 experiments.

Development of methods and programs for the analysis of rare events recorded during super-heavy element synthesis at the U400 accelerator.

Further development of methods and programs for the analysis of the coincidence spectra recorded in experiments on isomeric stage search.
Study of hadron properties within QCD motivated strong interaction models for the description of the hot and dense nuclear matter. Development of mathematical methods for the analysis of the quark-hadron phase diagram (NICA experiment).

Development of computer programs to calculate products of the reactions under chiral phase transitions in few-nucleon systems (for the NICA installation).

Study of spin scissors mode and the fine structure of M1 states in deformed nuclei.

Development of a new method, similar to the scalar-tensor theory, over a spinor field.

Mathematical modeling of the modifications of the superficial layers of materials exposed to pulsed ion beams and high-energy heavy ions.

Estimation of the accuracy of the truncation of the intermediate particle spectra via the different three-body field-theoretical Faddeev-type equations.

Investigation of double photoionization processes of N ², H ² and calculation of the associated observables.

Development of parallel algorithms and software for numerical solution of the nonlinear heat conduction equation taking into account the axial symmetry.

Application of the Newton method for mathematical modeling of irregular integro-optical waveguides.

Numerical study of progressive waves in systems described by nonlinear Schroedinger equations.

Numerical simulations of long Josephson junctions using the double sine-Gordon equation.

Derivation of quantitative consistency criteria in Bayesian quadrature.
Development of symbolic algorithms and programs for investigation and calculation of:
(a) quantum interferences in models based on finite symmetry groups;
(b) multiloop Feynman integrals with application to 4-loop massless integrals;
(c) constraints in singular field theoretic models;
(d) involutive polynomial bases by parallel methods based on the MPI technology.

Computer algebra modeling of the hadron therapy facility.
Extension of the built-in algorithmic tools for the Mathematica based QuantumCircuit emulator of quantum computations.

Development of symbolic-numerical algorithms for the analysis of spectral and optical characteristics of spheroidal quantum dots in homogeneous electric field.

Analytical and numerical studies of qubit entanglement and its topological stability in a laser field.

Construction of local invariants for the system qubit-qutrit.

Investigation of coherent spin dynamics in magnetic nanomolecules and nanoclusters.

Development of methods for describing order and quasi-order in finite quantum systems.

Development of theory of granulated and clustering matter.

Development of a computer program for the DNA-protein complexes mapping and its application to problems concerning the formation of such complexes.

List of Activities
	Activity or experiment	Leader
	Laboratory and Responsible person	Main researchers for the Laboratory
1.	Mathematical methods and tools for modeling physical processes and experimental data analysis	V.V. Ivanov P.V. Zrelov
	LIT	E.V. Zemlyanaya, V.M. Karnaukhov, B.F. Kostenko, I.N. Kukhtina, V.Yu. Lavrentiev, K.V. Lukyanov, A. Machavariani, T.I. Mikhailova, V.I. Palichik, A. Polanski, A.S. Rakityanskaya, L.A. Siurakshina, Yu.S. Smirnov, A.G. Soloviev, A.N. Sosnin, V.V. Uzhinsky, V.P. Filinova, N.Yu. Shirikova
2.	Methods and numerical algorithms for magnetic systems modeling	P.G. Akishin
	LIT	I.V. Amirkhanov, R.V. Polyakova, O.I. Yuldashev, M.B. Yuldasheva
3.	Software and computer complexes for experimental data processing	V.V. Ivanov P.V. Zrelov
	LIT	T.O. Ablyazimov, V.P. Akishina, I.N. Aleksandrov, E.I. Aleksandrov, S.A. Baginyan, O.Yu. Derenovskaya, N.D. Dikoussar, I.M. Ivanchenko, A.A. Kazakov, P.I. Kisel, V.M. Kotov, L.Yu. Kruglova, A.A. Lebedev, S.A. Lebedev, M.A. Mineev, G.A. Ososkov, A.M. Raportirenko, V.S. Shigaev, O.O. Voskresenskaya, A.V. Yakovlev, V.B. Zlokazov
4.	Numerical algorithms and software for simulation of complex physical systems	Gh. Adam I.V. Puzynin
	LIT	S. Adam, E.A. Ayrjan, A.S. Àyriyan, I.V. Amirkhanov, I.V. Barashenkov, I.L. Bogolubsky, Vo Trong Thach, E.V. Zemlyanaya, Yu.L. Kalinovsky, N.V. Makhaldiani, I.V. Molodtsova, D.I. Podgainy, T.P. Puzynina, V.S. Rikhvitsky, V.N. Robuk, N.R. Sarkar, I. Sarkhadov, B. Saha, S.I. Serdyukova, O.I. Streltsova, Z.K. Tukhliev, A.M. Chervyakov, O. Chuluunbaatar, Z.A. Sharipov, R.M. Yamaleev
5.	Methods, algorithms and software of computer algebra	V.P. Gerdt
	LIT	A.A. Bogolubskaya, A.A. Gusev, S.A. Evlakhov, V.V. Kornyak, Yu.G. Palii, A.M. Raportirenko, V.A. Rostovtsev, O.V. Tarasov, A.M. Khvedelidze, D.A. Yanovich
6.	Computing tools of a new generation	V.V. Ivanov Gh. Adam
	LIT	E.A. Ayrjan, V.P. Gerdt, A.A. Gusev, O.A. Afanasiev, J. Deperas, P.V. Zrelov, M.I. Zuev, Yu.G. Palii, V.A. Stepanenko, A.M. Khvedelidze, E.P. Yukalova

Collaboration
Country or International Organization	City	Institute or Laboratory
Armenia	Yerevan	YSU
		IIAP NAS RA
		RAU
	Ashtarak	IPR NAS RA
Australia	Sydney	Univ.
Belarus	Minsk	IM NASB
Belgium	Brussels	ULB
	Liege	ULg
Brazil	Sao Carlos, SP	IFSC USP
Bulgaria	Sofia	IMI BAS
		INRNE BAS
		SU
	Plovdiv	PU
Canada	Edmonton	U of A
	Toronto	IBM Lab
CERN	Geneva	CERN
Chile	Valparaiso	USM
Czech Republic	Rez	NPI ASCR
Egypt	Cairo	TIMS
France	Metz	UPV-M
	Nantes	SUBATECH
Georgia	Tbilisi	UG
		RMI TSU
		TSU
Germany	Berlin	HUB
		FU Berlin
	Aachen	RWTH
	Darmstadt	GSI
	Dresden	IFW
	Frankfurt/Main	Univ.
	Giessen	JLU
	Julich	FZJ
	Kassel	Uni Kassel
	Marburg	Univ.
	Potsdam	IASS
	Regensburg	UR
	Tubingen	Univ.
Greece	Thessaloniki	AUTH
Italy	Turin	INFN
Japan	Osaka	Kansai Univ.
Kazakhstan	Almaty	INP NNC RK
		IPT
Moldova	Chisinau	IAP ASM
Mongolia	Ulaanbaatar	NUM
Poland	Krakow	AGH
	Otwock-Swierk	NCBJ
	Rzeszow	UR
Portugal	Coimbra	UC
Romania	Bucharest	IFA
		IFIN-HH
		ISS
		UB
	Cluj-Napoca	INCDTIM
Russia	Moscow	CC RAS
		ITEP
		NNRU "MEPhI"
		MSU
		PFUR
		SINP MSU
		VIGG RAS
	Belgorod	NRU BelSU
	Chernogolovka	LITP RAS
	Protvino	IHEP
	Puschino	IMPB RAS
		ITEB RAS
		IPR RAS
		ICB RAS
	Saratov	SSU
	St. Petersburg	FIP
		NIIEFA
	Tomsk	TSU
	Tver	TvSU
Slovak Republic	Kosce	IEP SAS
		TUKE
		PJSU
	Presv	PU
South Africa	Cape Town	UCT
	Pretoria	UP
Sweden	Stockholm	KTH
Switzerland	Zurich	ETH
Taiwan	Taipei	AS
Tajikistan	Dushanbe	TNU
		PHTI ASRT
	Khujent	KSU
USA	Argonne, IL	ANL
Ukraine	Kiev	BITP NASU
		IM NASU
	Kharkov	IERT NASU
		KFTI NASU
Vietnam	Hanoi	VNU

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