Naum I. Gershenzon, Ph.D.
Research Associate Professor
Department of Physics and
of Earth & Environmental Sciences
Wright State University
3640 Colonel Glenn Highway
Dayton, OH 45435
Office phone: (937) 775-2052
The major areas of my scientific research experience include:
- CO2 sequestration/petroleum reservoir modeling
- Earth crust faults dynamics
- Nonlinear integrable equations
- Mechano-electromagnetic phenomena in ionic crystals
- Tectono-electromagnetic phenomena
- Seismo-electromagnetic phenomena
- Nuclear Magnetic Resonance
- Magnetosphere-Ionosphere plasma
- Software development for scientific and educational purposes
NSF Grant No: 668477
Agency/Sponsor No: EAR-1113578
Title: Macro-scale Friction in the Framework of the Frenkel-Kontorova model: Application to Dynamics of Crustal Faults
Start Date: 06/15/2011 - End Date: 05/31/2013
Earth crust faults dynamics:
Fault dynamics is one of the most complicated (yet very significant from a practical point of view) geophysical problem, requiring multiple approaches for a sufficient description. I'm developing a model allowing a unified analytical treatment of various seismic events, such as regular earthquakes, slow seismic events and creep [Gershenzon et al, 2009(a); Gershenzon & Bambakidis, 2011] and slow slip events [Gershenzon et al, 2011; Gershenzon & Bambakidis, 2012]
Nonlinear integrable equations:
For over a century a paramount task of traditional mathematical physics has been the solution of three linear partial differential equations: the wave equation, the heat conduction equation, and Laplace’s equation. Their importance is due to their exceptional universality. In the last few decades, this list of fundamental equations has been enriched by some essentially nonlinear equations, such as Korteweg-de Vries, nonlinear Schrodinger, and the sine-Gordon equations. These equations have much in common. In particular, they have special solutions (solitons) which are localized in time and space and are similar to classical particles. These so-called integrable nonlinear equations are also exceptionally universal. I have obtained results applying the sine-Gordon equation to seemingly unrelated objects and processes such as dislocation motion in crystals [Gershenzon, 1994a], laser beam propagation through two-level systems [Gurevich et al, 1989], the movement of tectonic plate [Gershenzon, 1994b; Gershenzon et al, 2009a] and friction processes[Gershenzon, 1996].
Mechano-electromagnetic phenomena in ionic crystals:
There are a few known mechano-electromagnetic phenomena in ionic crystals including the non-classical piezoelectric effect (Stepanov effect): the movement of electrically charged dislocation under mechanical stress. Most likely this effect is important in phenomena observed in monocrystals such as the generation of electromagnetic impulse during rupture [Gershenzon et al, 1986b], the influence of a static magnetic field on the mechanical strength of samples [Gershenzon et al, 1988; Biadzhi et al, 1990] as well as on the direction of rupture propagation [Gershenzon et al, 1986c], and the influence of ultraviolet emission on microcrack formation [Gershenzon et al, 1987a]. As a theoretician I have worked with a group of experimentalists who discovered the aforementioned effects.
During the past 40 years a wealth of seismo-electromagnetic (SEM) data has accumulated which has been interpreted as having some relation to pre-seismic and seismic processes. The search for SEM anomalies has spanned a wide frequency range from quasi-static (periods of weeks or months) up to radio frequencies (<50 MHz). Both magnetic and electric fields have been measured, using detectors below ground as well as above ground. A partial list of the types of anomaly which have been reported includes: tectonomagnetic (local quasi-static changes of the geomagnetic field); electrotelluric (local quasi-static changes of the electrotelluric field over periods of week, hours or minutes); magnetic fluctuations in the ultra-low frequency (ULF) range (10-2 to 10Hz); electromagnetic emission in the radio-frequency range (1 kHz to 50 MHz). For over 20 years I have been developing the unified model(s) describing these phenomena [Gokhberg et al, 1984; Gershenzon et al, 1987a; Gershenzon et al, 1987b; Gershenzon & Gokhberg, 1989; Gershenzon et al, 1989; Dobrovol'sky et al, 1989; Gershenzon et al, 1990; Gershenzon & Gokhberg, 1992a; Gershenzon & Gokhberg, 1992b; Gershenzon & Gokhberg, 1993; Gershenzon et al, 1993a; Gershenzon & Gokhberg, 1994; Gershenzon & Bambakidis, 2001; Hunt et al, 2006].
Seismic waves are commonly used for prospecting the upper earth crust. Usually seismic waves generate an electromagnetic field due to variety of mechano-electromagnetic effects, which can be used as complimentary information to the seismic data. I had been modeling the parameters of electromagnetic response due to seismic wave [Gershenzon, 1992a; Gershenzon, 1992b; Wolfe et al, 1996] and seismic impulse [Gershenzon et al, 1993b].
Nuclear Magnetic Resonance:
Nuclear magnetic resonance (NMR) spectroscopy is a phenomenon widely used in chemistry, biochemistry, solid state and medical imaging. All applications require radio-frequency (rf) pulses for sample excitation. The growing demand for rf pulses with given characteristics requires new methods/algorithms for their design. One of the most advance methods is based on optimal control theory. I’m developing theoretical and computational algorithms for rf pulse design utilizing optimal control theory [Geshenzon et al, 2007; Geshenzon et al, 2008; Geshenzon et al, 2009(b); Skiner & Gershenzon, 2010; Skinner et al, 2011] These pulses have important applications for improved performance in NMR.
Various types of geomagnetic variations monitored on the Earth’s surface are manifestations of complicated processes due to the interaction of the solar wind with the magnetosphere and ionosphere. Some of these variations can be explained by hydrodynamic instabilities in the E-layer of the ionosphere [Al'perovich & Gershenzon, 1981] or the appearance of various types of inhomogeneities [Al'perovich et al, 1986a; Al'perovich et al, 1986b; Al'perovich et al, 1986c]. The Van Allen belt generates specific low-frequency geomagnetic variations usually appearing during geomagnetic storms. I developed a model allowing reconstruction of Van Allen belt parameters by measurement of geomagnetic variations [Gershenzon, 1981; Gershenzon & Krylov, 1982; Gershenzon, 1983a; Gershenzon, 1983b; Gershenzon, 1983c; Afonina et al, 1982a; Afonina et al, 1982b].
Gene expression is a fundamental process involving participation of many regulatory proteins. We are now at the preliminary stage of understanding of this multi-step multi-level process. Less than one fourth of known human promoters can be described on the level of basal transcription machinery by known transcription scenarios. My colleague and I developed a computational approach, allowing classification of eukaryotic promoters based on known transcription mechanisms as well as prediction of new mechanisms [Gershenzon & Ioshikhes, 2005]. So far we utilized this method for analysis of core promoter elements in human and Drosophila promoter databases (Gershenzon & Ioshikhes, 2005; Lee et al, 2005; Gershenzon et al, 2006).
The identification of thousands of transcription factor binding sites (TFBS) (so-called cis-regulatory elements) for each of thousands of transcription factors is a necessary part of the elucidation of the gene expression puzzle. Many experimental and computational approaches have been developed during the last three decades to solve this problem. One of the most widely applied methods for searching TFBS is Position-Weight Matrices (PWM), yet the majority of existing PWMs provide a low level of both sensitivity and specificity. Recently, we developed and applied a computational algorithm allowing improvement of PWM quality based on the putative sites revealed from the promoter database [Gershenzon et al, 2005].
On origin of the atmosphere light during earthquakes [Grigoryev et al, 1988; Grigoryev et al, 1989]
Generation of longitudinal waves in stochastic plasma [Gershenzon et al, 1986]
Electromagnetic prediction of tsunami [Gershenzon & Gokhberg, 1992]
Protection of nuclear stations from earthquake [Gershenzon, 1990]
Mechanisms of influence of electric field on processes of oil segregation [Gershenzon, 1993]
Ionosphere anomalies generated by seismic events [Larkina et al, 1983; Gokhberg et al, 1984; Belen'kaya et al, 1986]
Gershenzon N.I. & G. Bambakidis (2012) Model for triggering of non-volcanic tremor by earthquakes, arXiv:1202.0912v1 [physics.geo-ph]
Skinner T.E, M. Braun, K. Woelk, N.I. Gershenzon and S.J. Glaser (2011) Design and application of robust rf pulses for toroid cavity NMR spectroscopy. J. Magn. Reson. (accepted)
Gershenzon N.I., G. Bambakidis, E. Hauser, A. Ghosh, K.C. Creager (2011) Episodic tremors and slip in Cascadia in the framework of the Frenkel-Kontorova model 38, L01309, doi:10.1029/2010GL045225
Gershenzon N.I. & G. Bambakidis (2011) Transition from static to dynamic macroscopic friction in the framework of the Frenkel-Kontorova model arXiv:1111.5221v1
Skinner T.E, M. Braun, K. Woelk, N.I. Gershenzon and S.J. Glaser (2011) Design and application of robust rf pulses for toroid cavity NMR spectroscopy. J. Magn. Reson. 209: 282-90
Skinner T.E., N.I. Gershenzon (2010) Optimal control design of pulse shapes as analytic functions, J. Magn. Reson. 204: 248–255
Gershenzon N.I., Bykov V. G. and Bambakidis G., (2009a) Strain waves, earthquakes, slow earthquakes, and afterslip in the framework of the Frenkel-Kontorova model, Physical Review E 79, 056601
Gershenzon, N.I., D.F. Miller, and T.E. Skinner (2009b) The design of excitation pulses for spin system using optimal control theory: with application to NMR spectroscopy, Optim. Control Appl. Meth. DOI: 10.1002/oca.867.
Gershenzon, N.I., Skinner, T.E., Brutscher, B., Khaneja, N., and Glaser, S.J., (2008) Linear phase slope in pulse design: Application to coherence transfer, J. Magn. Reson. 192:235–243
Gershenzon, N.I., K. Kobzar, B. Luy, S.J. Glaser, and T.E. Skinner (2007) Optimal control design of excitation pulses that accommodate relaxation, J. Magn. Reson. (doi:10.1016/j.jmr.2007.08.007)
Hunt, A., N.I Gershenzon, and G. Bambakidis (2007) Pre-seismic electromagnetic phenomena in the framework of percolation and fractal theories, Tectonophysics. 431, 23–32
Gershenzon N.I., Trifonov E.N., and Ioshikhes I.P. (2006) The features of Drosophila core promoters revealed by statistical analysis. BMC Genomics, 21;7(1):161
Gershenzon N.I, Stormo G.D., and Ioshikhes I.P. (2005) Computational technique for improvement of the Position-Weight Matrices for the DNA/protein binding sites. Nucleic Acids Res., 33(7) 2290-2301
Gershenzon N.I., Ioshikhes I.P. (2005a) Synergy of human Pol II core promoter elements revealed by statistical sequence analysis. Bioinformatics, 21, 1295-1300
Gershenzon N.I. and Ioshikhes I.P. (2005b) Promoter Classifier: software package for promoter database analysis. Appl. Bioinformatics, 4(3), 205-209. (http://bmi.osu.edu/~ilya/promoter_classifier/)
Lee D.H., Gershenzon N.I., Gupta M., Ioshikhes I.P., Reinberg D, and Lewis B.A. (2005) Functional Characterization of Core Promoter Elements: The DCE Is Recognized by TAF1. Molecular & Cellular Biology, 25(21), 9674-86
Wagner W. and Gershenzon N.I. (2002) Physics 202: General Physics Laboratories - Electricity and Magnetism; User’s guide, Wright State University. 173 pages
Gershenzon N. and Bambakidis G, (2001) Modeling of seismo-electromagnetic phenomena. Russian Journal of Earth Sciences, 3(4), 247-275
Wolfe P.J., Yu J., and Gershenzon N.I. (1996) Seismoelectric studies in an outwash plain, Proc.Symp. on the Appl. of Geophys. to Eng. and Env. Problems, Wheat Ridge, Col., 21-30
Gershenzon N.I. (1994a) Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova Model. Physical Review B, 50, 13308-13314
Gershenzon, N.I. and M.B. Gokhberg (1993) On Origin of the Electrotelluric Field Disturbances Prior to an Earthquake in Kalamata, Greece. Tectonophysics, 224, 169-174
Gershenzon, N.I (1993) Mechanisms of influence of electric field on processes of oil segregation. Book “Influence of seismic vibration on oil deposits”. Moscow, 56-65
Gershenzon N.I. (1992a) Seismoelectromagnetic Field of Electrokinetic Nature. Izvestiya Russia Akademii Nauk, Physics of the Solid Earth, 7, 51-61.
Gershenzon, N.I. (1992b) About E.M. Strelkov's article "Estimation of Magnetic Field of Seismoelectric Currents". Izvestiya Russia Akademii Nauk, Physics of the Solid Earth, 3, 111-112
Gershenzon, N.I and M.B. Gokhberg (1992a) On the Origin of Electrotelluric Disturbances Prior to Earthquake. Proceeding on the International School of Solid Earth Geophysics5th course: Earthquake Prediction, Erice, Italy July 16-23, 1989, 515-525
Gershenzon, N.I. and M.B. Gokhberg (1992b) Electromagnetic Prediction of Tsunami. Izvestiya Russia Akademii Nauk, Physics of the Solid Earth. 2, 39-43
Gershenzon, N.I. and M.B. Gokhberg (1992c) On Earthquake Precursors in Geomagnetic Field Variations of Electrokinetic Nature. Izvestiya Russia Akademii Nauk, Physics of the Solid Earth. 9, 100-105
Biadzhi, P.F., N.I. Gershenzon, D.O. Zilpimiani, P.V. Mandzhgaladze, O.A. Pokhotelov, V. Sgrin'ya, and Z.T. Chelidze (1990) Influence of a Magnetic Field on Mechanical Properties of Ionic Crystals During their Deformation. Soviet Physics, Solid State, 32(8), 1352-1354
Gershenzon N.I., M.B. Gokhberg, Yu. P. Kurchashov, E.B. Chirkov, V.I. Chernyi. A.V. Drumya, and M. M. Bogorodsky, (1990) On the Generation of Electrotelluric Fields by Crustal Geodynamic Processes. Proceeding of International Wroclaw Symposium on Electromagnetic Compatibility 06.26-29, 2, 877-881
Dobrovol'sky, I.P., N.I. Gershenzon, and M.B. Gokhberg (1989a) Theory of Electrokinetic Effects Occurring at the Final Stage in the Preparation of a Tectonic Earthquake. Physics of the Earth and Planetary Interiors, 57, 144-156
Gershenzon, N.I., M.B. Gokhberg, A.V. Karakin, N.V. Petviashvili, and A.L. Rykunov (1989b) Modeling the Connection Between Earthquake Preparation Processes and Crustal Electromagnetic Emission. Physics of the Earth and Planetary Interiors, 57, 129-138
Grigoryev, A.I., N.I. Gershenzon, and M.B. Gokhberg (1989c) Parametric Instability of Water Drops in an Electric Field as a Possible Mechanism for Luminous Phenomena Accompanying Earthquakes. Physics of the Earth and Planetary Interiors, 57, 139-143
Gershenzon, N.I., M.B. Gokhberg, and I.P. Dobrovol'sky (1989d) Computation of Short-Range Earthquake Precursors in Electrotelluric Field. Izvestiya Akademii Nauk SSSR, Physics of the Solid Earth, 25(11), 901-912
Gershenzon, N.I and M.B. Gokhberg (1989) On the Origin of Electrotelluric Disturbances Prior to Earthquake. Proceeding of Symposium on Electromagnetic Compatibility, Nagoya, Japan, September 8-10 vol.1, 116-122
Gurevich, A.V., N.I. Gershenzon, A.L. Krylov, and N.G. Mazur (1989e) Solutions of the sine-Gordon Equation by the Modulated-Wave Method and Application to a Two-State Medium. Soviet Physics, Doklady. 34(3), 246-248
Gershenzon, N.I., D.O. Zilpimiani, P.V. Mandzhgaladze, and O.A. Pokhotelov (1988) Enhancement of the Mechanical Strength of LiF Single Crystals in a Static Magnetic Field. Soviet Physics, Solid State, 30(7), 1273-1274
Grigoryev, A.I., N.I. Gershenzon, and M.B. Gokhberg (1988) On Origin of the Atmosphere Light During Earthquakes. Doklady Akademii Nauk SSSR. 300(5), 1087-1090
Gershenzon, N.I., D.O. Zilpimiani, P.V. Mandzhgaladze, and O.A. Pokhotelov (1987a) Influence of Ultraviolet Radiation on Formation of Cracks in Ionic Crystals. Soviet Physics, Solid State 29(2), 332-333
Gershenzon N.I., M.B. Gokhberg, V.A. Morgunov, and V.N. Nikolaevskiy (1987b) Sources of Electromagnetic Emissions Preceding Seismic Events. Izvestiya Akademii Nauk SSSR, Physics of the Solid Earth, 23(2), 96-101
Gershenzon N.I., M.B. Gokhberg, and V.A. Morgunov (1987c) Sources of Electromagnetic Emissions prior Seismic Events. Earthquake prediction. Donish. Dushanbe, USSR, 7, 54-62
Gershenzon, N.I., A.L. Krylov and N.G. Masur (1986a) Amplification of Longitudinal Waves during Interaction of Bunch with Chaotic-Inhomogeneous Plasma. Fizika Plazmy. 12(5), 1069-1073
Al'perovich, L.S., N.I. Gershenzon, and A.L. Krylov (1986a) Fluctuations of Quasi-stationary Electric and Magnetic Fields Caused by Random Inhomogeneities of Wind Motions in the Ionosphere. Geomagnetism and Aeronomy, 26(3), 335-339
Al'perovich, L.S., N.I. Gershenzon, and A.L. Krylov (1986b) Fluctuations of Quasistationary Electric and Magnetic Fields Caused by Random Inhomogeneities of Ionosheric Conductivity, Geomagnetism and Aeronomy, 26(6), 787-789
Al'perovich, L.S., N.I. Gershenzon, and A.L. Krylov (1986c) The Relation Between the Spatial and Temporal Spectra of Ionosphere Wave Disturbances. Geomagnetism and Aeronomy, 26(6), 863-865
Belen'kaya, B.N., N.I. Gershenzon, M.B. Gokhberg, and L.A. Dremukhina (1986) Inhomogeneity in the Field of Geomagnetic Variations of the Magnetosphere-Ionosphere Current Systems in Middle latitudes. Izvestiya Akademii Nauk SSSR, Physics of the Solid Earth, 22(8), 665-669
Gershenzon, N.I., D.O. Zilpimiani, P.V. Mandzhgaladze, O.A. Pokhotelov, and Z.T. Chelidze (1986b). Electromagnetic Emission of the Crack Top during Rupture of Ionic Crystals. Doklady Akademii Nauk SSSR, 288(1), 75-78
Gershenzon, N.I., D.O. Zilpimiani, P.V. Mandzhgaladze, and O.A. Pokhotelov (1986c) Effect of a Magnetic Field on the Fracture of LiF Single Crystals. Soviet Physics, Solid State 28(3), 394-396
Gokhberg, M.B., I.L. Gufel'd, N.I. Gershenzon, and V.A. Pilipenko (1985) Electromagnetic Effects During Rupture of the Earth's Crust. Izvestiya Akademii Nauk SSSR, Physics of the Solid Earth, 21(1), 52-63
Gokhberg, M.B., N.I. Gershenzon, I.L. Gufel'd, A.V. Kustov, V.A Liperovskiy, and S.S. Khusameddinov (1984) Possible Effects of the Action of Electric Fields of Seismic Origin on the Ionosphere. Geomagnetism and Aeronomy, 24(2), 183-186
Gershenzon, N.I. and M.B. Gokhberg (1984) A Technique for Isolating the Effects of Variations of the Geomagnetic Field Associated with Seismicity. Geomagnetism and Aeronomy, 24(1), 79-82
Gershenzon, N.I. (1983a) Analysis of relationship between magnetosphere-ionosphere current systems and geomagnetic variations. PhD Thesis. Russian Academy of Sciences, is Institute of Physics of the Earth, Moscow, 120 pages
Gershenzon, N.I. (1983b) Reconstruction of the Ring-Current Characteristics from the Ground-Level Variations in the Geomagnetic Field. Geomagnetism and Aeronomy, 23(1), 67-70
Gershenzon, N.I. (1983c) Electric Currents and Magnetic Fields of the Plasma Inhomogeneity Located in the Inner Magnetosphere. Geomagnetism and Aeronomy, 23(2), 206-210
Larkina, V.I., A.V. Nalivayko, N.I. Gershenzon, M.B. Gokhberg, V.A. Liperovskiy, and S.L. Shalimov (1983) Observations of VLF Emission, Related with Seismic Activity, on the Interkosmos-19 Satellite. Geomagnetism and Aeronomy, 23(5), 684-687
Gershenzon, N.I. and A.l. Krylov (1982) Reconstruction of the Three-Dimensional Current System from Variation in the Ground-Level Magnetic Field for Sloping Lines of Force. Geomagnetism and Aeronomy, 22(3), 384-387
Afonina, R.G., B.A.Belov, V.Yu. Gaydukov, N.I. Gershenzon, A.E. Levitin, D.S.Faermark, and Yu.I. Fel'dstein (1982a) Space-Time Distribution of the Longitudinal Currents in the High-Altitude Daytime Sector for Various Conditions in the Interplanetary Magnetic Field. Geomagnetism and Aeronomy, 22(3), 433- 435
Afonina, R.G., B.A. Belov, V.YU. Gaydukov, N.I. Gershenzon, A.E. Levitin, D.S. Faermark, and Ya.I. Fel'dstein. (1982b) Model for the Electric Field at the Morning-Evening Meridian in the Northern Polar Cap. Geomagnetism and Aeronomy, 22(3), 436-438
Al'perovich, L.S. and N.I. Gershenzon (1981) Periodic Structures in the Polar Ionosphere and Geomagnetic Pulsations. Geomagnetism and Aeronomy, 21(2), 192-195
Gershenzon, N.I. (1981) Effect of Altitude-Dependent Inhomogeneity of the Ionospheric Conductivity Tensor on Longitudinal Currents. Geomagnetism and Aeronomy, 21(5), 626-628
Software package for analysis and visualization of 3 components seismic data (2009): ExtractSesmicData , SeismicSpectrum, SeismicVizualization; SpectraViz
Promoter Classifie (2005)r: software package for promoter database analysis.
Physics 202 (2002): General Physics Laboratories: Electricity and Magnetism (http://www.wright.edu/~naum.gershenzon/VLE.html)
Certificate #1603328 (1990) N.I. Gershenzon, M.B. Gokhberg, and I.P. Dobrovol'sky. Method of the Geodynamic Processes Investigation. USSR Government comity of discoveries.
Certificate #1599822 (1990) N.I. Gershenzon, M.B. Gokhberg, and I.P. Dobrovol'sky. Method of the Electrotelluric Field Measurement during Investigation of the geodynamic processes. USSR Government comity of discoveries.
Scientific reports and unpublished papers:
Gershenzon N.I. (1996) Friction in the framework of the Frenkel-Kontorova model. 10 pages (article).
Gershenzon N.I. (1994) A model of crust movement along transform faults.18 pages (article).
Gershenzon, N.I. (1991) Electromagnetic methods of earthquake prediction. Institute of Physics of the Earth. Moscow. 40 pages (scientific report).
Gershenzon N.I. (1990) Investigation of the possibility of protection of nuclear stations from earthquake by monitoring of electromagnetic field of earthquake focus. Institute of Physics of the Earth. Moscow. 62 pages (scientific report).
Last update: 2.8.2012