Moreover the optimal knowledge of noise characteristics is playing an increasing crucial role in the development of new families of integrated circuits working at microwave frequencies and used in telecommunication systems. The study of the internal noise sources indeed is a fundamental aspect of the noise behaviour of microwave transistors to reach high performances device with decreasing dimensions.
Therefore in the framework of this project we will consider and study 1D stochastic nonlinear systems, noise models of microwave transistors and complex systems such as chemical and ecological systems. We will focus our attention on such noise-induced phenomena in nonlinear systems away from equilibrium as stochastic resonance (SR) [2], resonant activation [3,4], noise enhanced stability (NES) [5], and noise delayed decay (NDD) of unstable states [6]. The investigation of these phenomena points out a subtle interplay between deterministic and random aspects.
These phenomena has attracted recently growing interest in a variety of physical, chemical, and biological complex systems. In particular, escape from fluctuating potentials are relevant when studing transport in glasses, in molecular dissociation in strongly coupled chemical systems [9], in protein [10], and in the ratchet models of molecular motors [11]. The phenomenon of stochastic resonance (SR) in its turn has been observed or invoked in connection with the earth's ice-age cycle, a ring-laser, excitable neurones, crayfish mechanoreceptors, SQUIDs (superconducting quantum interference devices), etc..(see [2] for an extensive review and a complete list of references). The NES phenomenon has been observed in the intermittent chaotic behaviour for one dimensional maps [12], in a model potential useful to describe a first order phase transition [13], in a tunnel diode [5] and in a noisy Lorentz system [14]. More recently it was found that several properties of the noise induced stability in fluctuating bistable potentials [15] are related to NES phenomenon [5]. Furthemore, the mobility of an overdamped particle moving in aperuiodic potential and in an inhomogeneous medium exhibited noise induced slowing down [16], which is akin to the NES phenomenon.
Noise is present in all electronic devices and it is generated by the random motion of electrons in a resistive material, by the random recombination of holes and electrons in a semiconductor, and when holes and electrons diffuse through a potential barrier. The principal noise sources in a bipolar transistor are the thermal noise in the base spreading resistance, shot noise, flicker noise and burst noise in the base bias current [17]. Miniaturization process in fact cause an icreasing interaction between the internal noise sources which affect transistor noise behaviour. The conventional approach analyses all noise sources into an equivalent noise voltage limiting therefore the analysis only to the knowledge of the first and the second moment [18]. To fully characterize the noise behaviour of microwave transistors it is therefore required to know the time, spectral and probability characteristics of the output current.
As regards the nonlinear relaxation of chemical and ecological systems we will use the so called new stochastic represantion (NSR). This representation was proposed some years ago as an alternative to Poisson representation in chemical kinetics problem [19]. This alternative approach makes use of the Feynmann Katz formula to give directly a representation of the generating function evolution as an average of a function of a suitable stochastic process.
The fundamental behaviour characteristics of a natural ecosystem are due to the pronounced nonlinear character of the relationships between separate components of the ecosystem. The study of interacting populations consisting of only two or three species extracted from an ecosystem seems to be ecologically justified in a number of important cases, because the nonlinearity of the model reproduce the typical phenomenology of population dynamics [20]. A standard model for the joint evolution of N biological species with spatially homogeneous densities is the N-species generalization of the usual Lotka-Volterra model. Though this generalized model has been explored in detail it seems that a full characterization of the conditions under which a population becomes extinguished or survives in the competition process has not been achieved [21].
The aims of the project are the following:
1 - Investigation of noise-induced phenomena in nonlinear systems away from equilibrium.
2 - Study of relaxation phenomena and molecular dynamics in kinetics of chemical reactions.
3 - Investigation of nonlinear relaxation and noise-induced effects
in complex systems.
Particularly the specific open questions which we would hope to answer are:
a) - Investigation of the noise delay decay (NDD) for polinomial potential profiles and of SR phenomenon for a bistable system with arbitrary height and width of the potential barrier, to see the effect of the potential shape on these noise-induced phenomena.
b) - To reach an understanding of the noise enhanced stability phenomenon (NES) for a nonlinear system with a metastable state driven by dichotomous noise and thermal noise, to obtain the condition for which the NES effect takes place.
c) - Investigation of an overdamped Brownian particle moving in time dependent periodical potential profiles, to see how the shape of the profile and the chcaracteristic of the noise affect the probability current.
d) - Elaboration of a stochastic model for microwave transistors in order to fully characterize the statistics of the noisy output current.
e) - Study of the nonlinear relaxation from an initial metastable state with the new stochastic representation for the kinetics of chemical systems and investigation of front propagation in chemical reactions (Liesegang bands).
f) - Investigation of SR and NES phenomena for a model of population dynamics, to see the effect of the random variability of the environment in the presence of a periodic perturbation.
g) - Elaboration of stochastic models describing the nonlinear relaxation
of complex ecosystems with a random interaction matrix and random interaction
between the species and the environment, to obtain the conditions under
which a population becomes extinguished or survives in the competition
process.
r')
| Name: | Bernardo Spagnolo |
| Affiliation: | University of Palermo |
| INFM UdR: | Unità di Ricerca INFM di Palermo |
| INFM Class: | Classe di afferenza all'INFM ( B1) |
| INFM Section: | G |
| Research line: | G3 - Fenomeni di Rilassamento Non Lineare |
| Address: | Dipartimento di Fisica e Tecnologie Relative |
| Universita' di Palermo, Viale delle Scienze | |
| I-90128 Palermo | |
| Phone: | +39-91-236317 |
| Fax: | +39-91-236306 |
| E-mail: | spagnolo@unipa.it |
| Mesi/uomo: | 6 |
| Name: | Ferdinando de Pasquale |
| Affiliation: | University of Rome |
| INFM UdR: | Unità di Ricerca INFM di Roma |
| INFM Class: | Classe di afferenza all'INFM (B1) |
| INFM Section: | G |
| Research line: | G5 |
| Address: | Dipartimento di Fisica, |
| Università di Roma "La Sapienza", | |
| P.le A. Moro 2, I-00185 Roma, Italia | |
| Phone: | +39-6-49913475 |
| Fax: | +39-6-4463158 |
| E-mail: | ferdi@depas.phys.uniroma1.it |
| Mesi/uomo: | 4 |
| Name: | Fabrizio Patti |
| Affiliation: | I.N.F.M. |
| INFM UdR: | Unità di Ricerca INFM di Palermo |
| INFM Class: | Classe di afferenza all'INFM ( A3) |
| INFM Section: | G |
| Research line: | G3 - Fenomeni di Rilassamento Non Lineare |
| Address: | Dipartimento di Fisica e Tecnologie Relative |
| Universita' di Palermo, Viale delle Scienze | |
| I-90128 Palermo | |
| Phone: | +39-91-236305 |
| Fax: | +39-91-236306 |
| E-mail: | pattifab@katamail.com, 6 months |
| Mesi/uomo: | 4 |
| Name: | Nikolai Agoudov |
| Affiliation: | University of Nizhni Novgorod |
| INFM UdR: | Unità di Ricerca INFM di Palermo |
| INFM Class: | Classe di afferenza all'INFM ( C3) |
| INFM Section: | |
| Research line: | |
| Address: | Department of Radiophysics, |
| University of Nizhni Novgorod , 23 Gagarin Ave., | |
| 603600 Nizhni Novgorod, Russia | |
| Phone: | 007-8312-656386+39-91-236305 |
| Fax: | 007-8312-656416 |
| E-mail: | agudov@rf.unn.runnet.ru, |
| Mesi/uomo: | 4 |
| Name: | Alexander Dubkov |
| Affiliation: | University of Nizhni Novgorod |
| INFM UdR: | Unità di Ricerca INFM di Palermo |
| INFM Class: | Classe di afferenza all'INFM ( C1) |
| INFM Section: | |
| Research line: | |
| Address: | Department of Radiophysics, |
| University of Nizhni Novgorod , 23 Gagarin Ave., | |
| 603600 Nizhni Novgorod, Russia | |
| Phone: | 007-8312-656386+39-91-236305 |
| Fax: | 007-8312-656416 |
| E-mail: | dubkov@rf.unn.runnet.ru |
| Mesi/uomo: | 4 |
All the research work, of course, will be developed in collaboration
among the participants in the project. However each researcher will contribute
to the project according to the following scheme: =09
Dr. B. Spagnolo, which is an expert in "noise effects in nonlinear systems" and has expertise in relaxation phenomena, will deal with the points 1 and 3 of the scientific goals and particularly with the topics: a), b), c), d), f) and g).
Prof. F. de Pasquale, which is an expert in "nonlinear relaxation phenomena" in zerodimensional systems and in complex systems, will deal with the points 2 and 3 of the scientific goals and particularly with the topics: e), f) and g). The research work of point 2, in particular topic e), will be done in collaboration with Prof. J. Gorecki of the Institute of Physical Chemistry, Varsavia University (Polland), and with Prof Z. Racz of the Physics Department, Eotvos University of Budapest (Hungary). Prof. J. Gorecki is an expert of molecular dynamics of chemical reactions and Prof. Z. Racz is an expert of pattern formation and evolution.
Ing. F. Patti, which has worked on noise modeling and performances of microwave transistors will deal mainly with the topic d) of the project.
Dr. N. Agoudov, which has expertise in "noise induced phenomena in nonlinear nonequilibrium systems", will deal with the point 1 of the scientific goals and particularly with the topics: a), b), c). Dr. N. Agoudov will be granted of a contract of three month per year throughout the project.
Prof. A. Dubkov, which is an expert in "fluctuation phenomena and higher
order statistics in physical systems", will deal with the point 1 of the
scientific goals and particularly with the topics: a), b) and c)
Nonlinear relaxation models have been developed by F.de Pasquale and co-workers in the past (see ref.[2]) successfully in the study of spatio-temporal ordering phenomena in the laser physics, in chemical reactions and in magnetic systems. Of great relevance the quasideterministic theory (QDT), for the decay from an unstable state in the presence of additive and multiplicative noise.
As regards the stochastic resonance, noise enhanced stability and resonant activation, relevant results have been obtained by B.Spagnolo and co-workers (see recent publications: "Stochastic resonance in a tunnel diode" PRE Rap. Comm. (1994), "Noise enhanced stability in an unstable system" PRL (1996), Ëxperimental study of resonant activation" PRL (2000) and invited talks to national and international conferences on stochastic dynamics: Elba 1994, Messina 1994, Trieste ICTP 1995, Saratov (Russia) ICNC 1996, Ischia 1997, Parma 1997, Traverse City, Michigan (U.S.A.) 1997), Ambleside (England) (1999), Parigi (2000). Fabrizio Patti is a young electronic engineer which is a temporary member of the Group of Interdisciplinary Physics with a INFM fellow at the Dipartimento di Fisica e Tecnologie Relative. Fabrizio Patti after his graduation has been working in noise modelling of microwave transistors and has some expertise in this research field.
The international collaborators, Nikolai Agudov and Alexander Dubkov
have been involved for many years in researches in the theory of Brownian
motion, coordinated by Prof. A. N. Malakhov of Nizhny Novgorod University.
They developed a new method for analysis of noise induced nonstationary
transition processes for nonlinear systems described by arbitrary potential
profiles with arbitrary large fluctuations.
AddressesBusiness: Dipartimento di Fisica e Tecnologie Relative, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy. Tel: +39-091-236317, fax: +39-091-236306, e-mail: spagnolo@unipa.it
home: via G. Mosca 26, I-90134 Palermo, Italy. Tel: +39-091-487875.
Degrees He taken one's degree summa cum lode in nuclear engineering
at the University of Palermo in 1976, with a dissertation on: än X-band
microtron: theory and pulse modulator construction".
He taken one's degree summa cum lode in physics at the University of
Palermo in 1988 with a dissertation on : ßtochastic approach to a
magnetic phase transition".
Occupations
S. Ciuchi, Dipartimento di Fisica, L'Aquila University
R. Mannella, Dipartimento di Fisica, Pisa University
F. de Pasquale, Dipartimento di Fisica, Roma University
N. Agudov, Radiophysics Facultu, Nizhni Novgorod State University (Russia).
Field of research The research activity of Dr. Bernardo Spagnolo covers the following subjects:
Publications
Dr. B. Spagnolo is author of 39 papers and more than 60 conference contributions. We report here some relevant publications related to the research project:
1 - S. Ciuchi and B. Spagnolo "Decay from an initial unstable state in a chemical reaction model" in "Large-Scale Molecular Systems: Quantum and Stochastic aspects", ed.s W. Gans, A. Blumen and A. Amman, Plenum Press NATO-ASI series, New York, 413 (1991)
2 - P. Barrera, S. Ciuchi and B. Spagnolo "Generating Function for a Multiplicative Noise with Group Analysis" J. Phys. A: Math. Gen. 26, L559 (1993).
3 - S. Ciuchi, F. de Pasquale and B. Spagnolo "Non linear Relaxation in the presence of an Absorbing Barrier" Phys. Rev. E47, 3915 (1993).
4 - R. N. Mantegna and B. Spagnolo "Stochastic Resonance in a Tunnel Diode" Phys. Rev. Rap. Comm. E49, R1792 (1994), 29 citations.
5 - R. N. Mantegna and B. Spagnolo "Stochastic Resonance in a Tunnel Diode in the presence of white and colored noise" Nuovo Cimento, D17, 873 (1995), 8 citations.
6 - B. Spagnolo "Noise in Non Linear Dynamical Systems". V Reg. Conf. on Nuclear and Condensed Matter Researches, Messina 27-28 october 1994. Accademia Peloritana dei Pericolanti vol LXXII, suppl. 1, 165-183 (1995).
7 - E. Lanzara, R. N. Mantegna, B. Spagnolo and R. Zangara "Quasi Periodic Transitions in a Modulated Tunnel Diode with noise injection" in Teaching the Science of Condensed Matter and New Materials, GIREP-ICPE'95, edited by M. Michelini, S. Pugliese Jona, D. Cobai, Forum, Udine, pp. 189-191 (1996).
8 - R. N. Mantegna and B. Spagnolo "Noise Enhanced Stability in an Unstable System Phys. Rev. Lett. 76, 563-566 (1996),19 citations.
9 - S. Ciuchi, F. de Pasquale, B. Spagnolo "Self Regulation Mechanism of an Ecosystem in a Non Gaussian Fluctuation Regime" Phys. Rev E54, 706-716 (1996)
10 - E. Lanzara, R. N. Mantegna, B. Spagnolo and R. Zangara Ëxperimental Study of a Nonlinear System in the Presence of Noise: The Stochastic Resonance" Am. J. Phys. 65, 341 (1997).
11 - R. N. Mantegna and B. Spagnolo, "Probability distribution of the Residence Times in a Periodically Fluctuating Metastable System", Intern. Journ. of Bifurcation and Chaos, Vol. 8, No. 4, 783-790 (1998).
12 - F. de Pasquale and B. Spagnolo, "Stochastic Model of Population Dynamics", in Chaos and Noise in Biology and medicine, edited by M. Barbi and S.Chillemi, World Scientific Vol.7 Biophysics, pp. 305-314 (1998).
13 - R. N. Mantegna and B. Spagnolo, "Numerical Simulations of Resonant Activation in a Fluctuating Metastable Model System", J. Phys. IV France 8, 247-251 (1998).
14 - B. Spagnolo, "Noise-induced effects in nonlinear physical systems", in The Scientific and Phylosophical Challenge of Complexity, Ed. F. T. Arecchi, RUI, Roma, (2000) in press.
15 - F. Patti, V. Miceli and B. Spagnolo, "Stochastic Approach to Noise Modelling of Bipolar Microwave Transistors", in Electronic Devices for Microwave and Optoelectronic Applications, ed. Ali A. Rezazadeh, IEEE Microwave Engineering 99TH, pp. 236-241 (1999).
16 - N. V. Agudov and B. Spagnolo, "Decay times of Unstable states increased by the noise", in Stochastic and Chaotic Dynamics in the Lakes, D S Broomhead, E A Luchinskaya, P V E McClintock and T Mullin, ed.s., American Institute of Physics 502, Melville, NY, USA, 2000, pp 272-277.
17 - M. A. Cirone, F. de Pasquale and B. Spagnolo, Ä Simple Stochastic Model for a Complex Ecosystem", in Nuclear and Condensed Matter Physic, A. Messina ed., American Institute of Physics 513, Melville, NY, USA, 2000, pp 365-368.
18 - N. V. Agudov and B. Spagnolo, "Periodically Driven Noisy Nonlinear Physical Systems", in Nuclear and Condensed Matter Physic, A. Messina ed., American Institute of Physics 513, Melville, NY, USA, 2000, pp 11-14.
19 - F. Patti, V. Miceli and B. Spagnolo " Langevin Approach to Noise Modelling of Bipolar Microwave Transistors ", in Nuclear and Condensed Matter Physic, A. Messina ed., American Institute of Physics 513, Melville, NY, USA, 2000, pp 198-201. ? 35.
20 - R. N. Mantegna and B. Spagnolo, Ëxperimental Investigation of Resonant Activation", Phys. Rev. Lett. 84, 3025-3028 (2000).
21 - R. N. Mantegna and B. Spagnolo, Ëxperimental Studies of Noise-Induced Phenomena in a Tunnel Diode", in "Stochastic Processes in Physics, Chemistry and Biology", Lecture Notes in Physics, Berlin: Springer-Verlag (2000), in press.
Selected Invited talks
1 - B. Spagnolo (invited plenary talk) "Stochastic Resonance in a Tunnel Diode: white and colored noise" Proceedings of Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, Marciana Marina, Elba, 5-10 june, (1994).
2 - B. Spagnolo (invited talk) "Probability distribution of the Residence Times in a Periodically Fluctuating Metastable System" International Conference on Nonlinear Dynamics and Chaos, ICND-96, Saratov, Russia 7-14 July (1996).
3 - B. Spagnolo (invited talk) "Stochastic model of Population Dynamics" International School of Biophysics on "Chaos and Noise in Biology and Medicine", Ischia (Napoli), 5-10 maggio (1997).
4 - B. Spagnolo (invited talk) "Noise in Nonlinear Physical Systems" II=B0 Convegno Nazionale di Fisica Statistica, Parma 23-25 giugno (1997).
5 - B. Spagnolo (invited talk) "Resonant activation in a fluctuating metastable model system" International Workshop on "Fluctuations, Escape, and Optimal Control", Traverse City, Michigan (U.S.A.) 17-21 agosto (1997).
6 - B. Spagnolo (invited lecture) "Noise-induced effects in nonlinear physical systems" International Interdisciplinary Seminar on "The scientific and Phylosophical Challenge of Complexity", P=F4nte di Legno (Italian Alps), December 28 1998-January 2 1999.
7 - B. Spagnolo (invited talk) "Decay times of unstable states increased by the noise", International Conference on "Stochastic and Chaotic Dynamics in the Lakes", Ambleside (U. K.) 16-20 August 1999.
8 - B. Spagnolo (invited talk) "Nonlinear relaxation of population dynamics", Internationa Workshop on "Scaling and Disordered Systems", Paris 13-14 April 2000.
Place and date of birth: Rome July 6th 1939
Present position:
Full Professor of Optics at the University of Rome "La Sapienza"
Academic Curriculum
1962: Graduated in Physics, laurea in Fisica, at the University of Rome "La Sapienza"
1966: Assistant Professor of Physics at the Engineering Faculty of the University of Rome "La Sapienza"
1981: Associated Professor of "Fundamentals of Quantum Mechanics" at the Engineering Faculty of the University of Rome "La Sapienza"
1986: Full Professor of Molecular Physics at the University of Rome "La Sapienza"
1996: Full Professor of Optics at the Engineering Faculty of the University of Rome "La Sapienza".
Short periods of research activity abroad in Soviet Union J.I.N.R. Dubna, Grenoble C.N.R.S., Spain University of Iles Baleares, Varsavia Institute = of Chemical Physics of Academy of Science.
Field of research:
- Many body theory, superfluidity and superconductivity, itinerant electr= on Magnetism (1962-1969);
- Critical phenomena, phase transitions and the field renormalization the= ory applied to condensed matter (1969-1975);
- Nonlinear relaxation in the decay from an unstable state. Transient behavior of laser radiation statistics, spontaneous order growth in magnetic systems and spin glasses (1975 up to now);
- Electron phonon interaction in strong and intermediate coupling regime. Quantum coherence phenomena
Schools, Conferences and Workshops:
Has lectured for many years the postgraduated school of physics at the University of Rome and in some International Schools. Has been invited at workshops and international conferences.
Organizing activity:
He organized the scientific activity of a C.N.R. group (Proprietà
Collettive). He has been the coordinator of the postgraduate school in
physics at the University of L'Aquila.
Publications
We report here only seven relevant publications, but it is worthwhile to = note that Prof. F. de Pasquale published, on the research field of the project= , more than forty papers.
1 - F. de Pasquale and P. Tombesi, Phys. Lett. 72A, 7 (1979).
2 - F. de Pasquale, J. M. Sancho, M. San Miguel and P. Tartaglia "Decay of an unstable state in the presence of multiplicative noise", Phys. Rev. A 3, 4360 (1986).
3 - S.Ciuchi, F.de Pasquale and P.Monachesi, B.Spagnolo "Size effects in = phase transition kinetics" Phys. Rev. B 38, 2596 (1988).
4 - J.Popielawski, J.Gorecki, F.de Pasquale "Small noise expansion in the= theory of spatial correlations in chemical reacting systems" Proc. of the Symp. = World Scientific Publ. Singapore (1991).
5 - J.Popielawski, J.Gorecki, F.de Pasquale "The travelling front between stable and unstable states in a system with quadratic chemical dynamics" Proc. of the Symp. World Scientific Publ. Singapore (1991).
6 - F.de Pasquale, J.Gorecki, J.Popielawski Ön the stochastic correlations in a randomly perturbed chemical front" J.of Phys. A (Math. = Gen.) (1991).
7 - F.de Pasquale, S.Ciuchi "Mean field theory of disordered magnetic
systems" ed. by G.Asti, D.Fiorani and F.Lucari, World Scientific, Singapo=
re (1991).
>From 1998 to 1999 INFM fellowship on "Misura e caratterizzazione del rumore elttronico di dispositivi Bipolari veloci" at the Dipartimento di Energetica ed Applicazioni di Fisica, Palermo University.
>From 1999 up to now INFM fellowship on "Modellizzazione di Langevin di transistori BJT, HBT ed LDMOS per lo studio di modelli di rumore associati".
Publications
1 - A. Caddemi, F. Patti and M. Sannino "Bias dependence of the noise performance in Si/SiGe HBT's at microwave frequencies", EDMO, IEEE , 57-61 (1998).
2 - F. Patti, V. Miceli and B. Spagnolo, "Stochastic Approach to Noise Modelling of Bipolar Microwave Transistors", in Electronic Devices for Microwave and Optoelectronic Applications, ed. Ali A. Rezazadeh, IEEE Microwave Engineering 99TH, pp. 236-241 (1999).
3 - F. Patti, V. Miceli and B. Spagnolo, " Langevin Approach to Noise
Modelling of Bipolar Microwave Transistors ", in Nuclear and Condensed
Matter Physic, A. Messina ed., American Institute of Physics 513, 2000.
=09
1991 graduated from the Nizhni Novgorod State University, Radiophysical faculty, department of Statistical Radiophysics. Specialisation: Radiophysics and Electronics. Honour: Laureate of All-Russia Competition of the Diploma Works in Physics.
1991-1993 Junior researcher at the department of Statistical Radiophysics of Nizhni Novgorod State University.
1993-1996 PhD student at this department. Honoured twice by the stipends of the President of Russia and twice by the stipends of the International Open Society Institute.
January- March, 1997 Guest Researcher, University of Palermo, Italy.
May, 1997 PhD in Physics and Mathematics defended at the State University of Nizhni Novgorod. Title of PhD thesis: "Time and Spectral Characteristics of Noise Induced Transitions in Non-linear Systems."
August, 1997 Assistant Professor at the department of Statistical Radiophysics, Nizhni Novgorod State University.
1998 Senior Lecturer at the department of Statistical Radiophysics, Nizhni Novgorod State University.
Since 1989 I do researches in the areas of Statistical Physics, Noise Induced Phenomena in nonlinear nonequilibrium systems, and Brownian motion in the potential fields of force.
In 1999 Guest Researcher, University of Palermo, Italy.
Honors: Laureate of All-Russia Competition of the Diploma Works in Physics. Honored twice by the stipends of the President of Russia and twice by the stipends of the International Open Society Institute.
Publications
1 - Agudov N.V., Malakhov A.N., "Nonstationary diffusion through arbitrary piecewise linear potential profile. Exact solution and time characteristics". Radiophysics and Quantum Electronics, V.36, N.2, pp. 97-109, 1993.
2 - Malakhov A.N., Agudov N.V., "The kinetics of liquid-gas phase transitions of a Van der Waals substance with fluctuations taken into account", CHAOS= , V.4, No.4, pp.665-671, 1994.
3. Agudov N.V., Malakhov A.N., Ön the effect of fluctuations on an intermittent laminar motion", International Journal of Bifurcation and Chaos,V.5, No.2, pp.531-536, 1995.
4 - Agudov N.V., Malakhov A.N., "Spectral characteristics of random switching in bistable systems." Radiophysics and Quantum Electronics, V.38, N.1-2, pp.60-63, 1995.
5 - Agudov N.V., "Noise delayed decay of unstable states", Phys.Rev.E, Vol.57, No.3, pp. 2618-2625, 1998
I read courses ''Quantum Mechanics'', ''Mathematical Calculus'', "Differential Equations", ''Probability theory'', ''Methods of Mathematical Physics'' and special courses ''Functional Methods of Analysis of Stochastic Linear Systems'', ''Markovian Processes'', ''Polyspectral Analysis of Random Signals''. The areas of my scientific interest are Brownian Motion, Nonequilibrium Thermodynamics, Turbulence, Higher Order Statistics, Fractals and Scaling, Chaos. At the present time I am pursuing investigations under Russian Foundations of Basic Researches (RFBR) grants: N 99-02-17544, N 00-15-96620 and program "Russian Universities - Fundamental Investigations" grants: N 99-28-43, N 99-28-74. I have took part in Second Int. Sci. School-Seminar ''Dynamic and Stochastic Wave Phenomena'' (Nizhny Novgorod, Russia.1994), 7th Vilnius Conf. ''Fluctuation Phenomena in Physical Systems'' (Palanga, Lithuania. 1994), 13th Intern. Conf. ''Noise in Physical Systems and 1/f Fluctuations'' (Palanga, Lithuania. 1995), 3rd Experimental Chaos Conference (Edinburgh, Scotland. 1995), First Int. Conf. ''Unsolved Problems of Noise'' (Szeged, Hungary. 1996).
I have more than 60 papers and proceedings (27 - last six years).
List of main publications (1994-2000)
1. A.Yu.Smirnov, A.A.Dubkov. ''Persistent Correlations in the Motion of a Brownian Particle Interacting with a Finite-Size Random Environment''. Phys.Rev E. 1994. V.49. No 6. P.5859.
2.A.Yu.Smirnov, A.A.Dubkov. ''Nonergodic Fluctuations Attendant on Transport Processes in Finite-Size Disordered Systems''. Proc. 13th Intern. Conf. ''Noise in Physical Systems and 1/f Fluctuations''. Palanga. Lithuania. 29 May - 3 June 1995. World Sci. Publ. 1995. P.57.
3.A.A.Dubkov, S.N.Zheltov. ''Bispectral Approach to Analysis of Chaotic Motion of Dynamical Systems''. Proc. 13th Intern. Conf.''Noise in Physical Systems and 1/f Fluctuations''. Palanga. Lithuania. 29 May - 3 June 1995. World Sci. Publ. 1995. P.693.
4.A.Yu.Smirnov, A.A.Dubkov. ''Anomalous non-Gaussian Diffusion in Small Disordered Rings''. Physica A. 1996. V.232. Nos.1-2. P.145.
5.G.N.Bochkov, A.A.Dubkov, K.V.Gorokhov, G.A.Markov, S.N.Zheltov. Polyspectral methods of analysis, synthesis and transmissing information. Rus.Izv.vuzov.Applied Nonlinear Dynamics. 1996. V.4. No.6. P.54.
6.A.A.Dubkov, S.N.Zheltov. "Polyspectral Analysis of Some Computer Simulated Self-Similar Processes". Proc. IEEE Signal Processing Workshop on Higher Order Statistics (June 14-16, 1999) Ceasarea, Israel. 1999.
7.A.A.Dubkov, A.N.Malakhov, A.I.Saichev. "Correlation Time and Structure of Correlation Function of Nonlinear Equilibrium Brownian Motion in Potential Profiles of Arbitrary Form". Radiophysics and Quantum Electronics. 2000. V.43. No.4.