List of Publications

• I. Goldhirsch and M.Kugler, The Maximal Forward Peak in Elastic Scattering, Nuc. Phys. B104 , 499-510 (1976).
• I. Golhirsch, E. Levich and V.Yakhot, Bosonization of Quantum Heisenberg Models and Investigation of their Critical Behaviour, Phys. Lett. 62A , 273-276 (1977).
• I. Goldhirsch, E. Levich and V. Yakhot, Bose Expansion and Investigation of the Critical Behaviour of Quantum Heisenberg Models, Proc. of the 13-th IUPAP conference on Statistical Mechanics (IPS publ., Haifa, 1977).
• I. Goldhirsch, E. Levich and V. Yakhot, Exact Boson Representation of Quantum Spin Systems and Investigation of their Critical Behaviour, Phys. Rev. B19 , 4780-4795 (1979).
• I. Goldhirsch, On the Zero Temperature Behaviour of the XY model in a Transverse Field, J. Phys. C12 , 5345-5349 (1979).
• I. Goldhirsch, Exact Bose Expansion for General Spin, J. Phys. A13 , 453-467 (1980).
• I. Procaccia and I. Goldhirsch, Non-Classical Threshold Behaviour at a Far From Equilibrium Instability, in Systems Far from Equlibrium , ed. L. Garrido, 328-336 (Springer, 1980).
• I. Goldhirsch and V. Yakhot, Magnon Renormalization in the Heisenberg Model, Phys. Rev. B21 , 2833-2843 (1980).
• I. Goldhirsch, Phase Operator and Phase Fluctuations of Spins, J. Phys. A13 , 3479-3494 (1980).
• I. Goldhirsch and I. Procaccia, Statistical Mechanics of Stationary States: Quantum Mechanical Theory with Applications to Ferromagnets, Phys. Rev. A22 , 1720-1732 (1980).
• I. Goldhirsch and I. Procaccia, The Number of Propagating Modes in Hydrodynamic Systems, Physica 105A , 330-336 (1981).
• I. Goldhirsch and I. Procaccia, Nonlinear Behaviour at a Chemical Instability: A detailed Renormalization Group Analysis of a Case Model, Phys. Rev. A24 , 572-579 (1981).
• I. Goldhirsch and I. Procaccia, Threshold Behaviour at the Onset of the Benard Instability, Phys. Rev. A29 , 580-597 (1981).
• E. Ben-Jacob, I. Goldhirsch, Y. Imry and S. Fishman, Intermittent Chaos in Josephson Junctions, Phys. Rev. Lett. 49 , 1599-1602 (1982).
• I. Goldhirsch and B.A. Cipra, The Partition Function of the d-dimensional Ising Model: A One Variable Integral Formula, Phys. Lett. 92A , 238-242 (1982).
• I. Goldhirsch, Chaos in a Soluble Model of a Physical System, Annals of the N.Y. Academy of Science 404 , 48-49 (1983).
• I. Goldhirsch and D. Ronis, Theory of Thermophoresis I: General Considerations and Mode Coupling Analysis, Phys. Rev. A27 , 1616-1634 (1983).
• I. Goldhirsch and D. Ronis, Theory of Thermophoresis II: Kinetic Theory and Comparison to Experiments, Phys. Rev. A27 , 1635-1656 (1983).
• A. Baram and I. Goldhirsch, Statistical Mechanics of Ordered Chains, J. Chem. Phys. 79 , 992-996 (1983).
• I. Goldhirsch and D. Ronis, Thermophoresis: A Macroscopic Nonequlibrium Effect of Nonhydrodynamic Origin, MIT report (1984).
• I. Goldhirsch, Y. Imry, G. Wasserman and E. Ben-Jacob, Studies of the Intermittent Type Chaos in AC and DC Driven Josephson Junctions, Phys. Rev. B29 , 1218-1230 (1984).
• Y. Gefen and I. Goldhirsch, Biased Diffusion on Randon Networks: Mean First Passage Time and DC conductivity, J. Phys. A18 , L1037-L1041 (1985).
• Y. Gefen, I. Goldhirsch and R. Laibowitz, AC Response on Fractal Networks, Proc. of the Symposium on Fractal Aspect of Materials, 95-97, eds. R.B. Laibowitz, B.B. Mandelbrot and D.G. Passoja (1985).
• Y. Gefen, I. Goldhirsch and R. Laibowitz, AC and DC response of Random Systems, Proc. M.R.S., 516 (1985).
• I. Goldhirsch and I. Oppenheim, Acoustic Instability in Fluids with Temperature Gradients, MIT rept. (1985).
• I. Goldhirsch and Y. Gefen, An analytic method for Calculating Properties of Random Walks on Networks, Phys. Rev. A33 , 2583-2594 (1986).
• I. Goldhirsch, S.A. Orszag and B.K. Maulik, An Efficient Method for Computing Leading Eigenvalues and Eigenvectores of Large Asymmetric Matrices, J. Sci. Comp. 2 , 33-58 (1987).
• I. Goldhirsch and Y. Gefen, Biased Random Walk on Networks, Phys. Rev. A35 , 1317-1327 (1987).
• Y. Gefen and I. Goldhirsch, Relation Between the Classical Resistance of Inhomogeneous Networks and Diffusion, Phys. Rev. B35 , 8639-8645 (1987).
• S.H. Noskowicz and I. Goldhirsch, Distribution Functions for Random Walk Processes on Irregular Networks: an Analytic Method, J. Stat. Phys. 48 , 255-290 (1987).
• I. Goldhirsch and S.H. Noskowicz, Anomalous Fluctuations in Random Walk Dynamics, J. Stat Phys. 48 , 291-314 (1987).
• I. Goldhirsch, P-L. Sulem and S.A. Orszag, Stability and Lyapunov stability of Dynamical Systems: a Differential Approach and a Numerical Method, Physica 27D , 311-337 (1987).
• B.J. Bayly, I. Goldhirsch and S.A. Orszag, Independent Degrees of Freedom of Dynamical Systems, J. Sci. Comp. 2 , 111-121 (1987).
• S.H. Noskowicz and I. Goldhirsch, Average versus Typical Mean First Passage Time in a Random-Random Walk, Phys. Rev. Lett. 61 , 500-502 (1988).
• D. Lubin, I. Goldhirsch and Y. Gefen, Temperature Dependence of Resistance Noise in Metal Insulator Mixtures Below the Percolation Threshold, Phys. Rev. B38 , 5899-5905 (1988).
• I. Goldhirsch, ``Random Walks with Intersections'', Math. Revs. 88k:82154 (1988).
• I. Goldhirsch, R.B. Pelz and S.A. Orszag, Numerical Simulation of Thermal Convection in a Two Dimensional Finite Box, JFM 199 , 1-28 (1989).
• S.H. Noskowicz and I. Goldhirsch, Reply to a Comment by Le-Doussal, Phys. Rev. Lett. 62 , 3098 (1989).
• I. Goldhirsch, Computational Dynamics of Two-Phase Flows, Cambridge Hydrodynamics Report (1989).
• Y. Gefen and I. Goldhirsch, The Building Blocks of Random Walks, Physica D38 , 119-127 (1989).
• S.H. Noskowicz and I. Goldhirsch, First Passage Time Distribution in Random Random Walk, Phys. Rev. A42 , 2047-2064 (1990).
• D. Lubin, I. Goldhirsch and Y. Gefen, Mesoscopic Rings Driven by Time Dependent Magnetic Flux: Level Correlations and Localization in Energy space, Phys. Rev. B41 , 4441-4455 (1990).
• D. Lubin and I. Goldhirsch, One Dimensional Hopping Diffusion in a Coherent Phonon Field, Phys. Rev. Lett.64 , 2050-2053 (1990).
• D. Lubin, Y. Gefen and I. Goldhirsch, Zener Dynamics Beyond Zener's Assumptions, Physica A168 , 456-468 (1990).
• I. Goldhirsch and A. Yakhot, Probability Distribution of a Passive Scalar: a Soluble Example, Phys. Fluids A2 (8), 1303-1305 (1990)
• Dror Lubin, Y. Gefen and I. Goldhirsch, Undoing Zener Transitions: the N-clock problem, in ``Quantum Fluctuations in Mesoscopic and Macroscopic Systems'', eds. H.A. Cardeira, F. Guinea-Lopez and U. Weiss ( World Scientific, Trieste, 1990), 149-170.
• Y. Braiman and I. Goldhirsch, Taming Chaotic Dynamics with Weak Periodic Perturbations, Phys. Rev. Lett. 66 , 2545-2548 (1991)
• I. Goldhirsch, D. Lubin and Y. Gefen, Energy Localization in Mesoscopic Systems: Rings Versus Cylinders, Phys. Rev. Lett. 67 , 3582-3585 (1991).
• I. Goldhirsch, Clustering Instability in Granular Gases, Proceedings of the DOE/NSF meeting on ``The Flow of Particulates and Fluids'' (WPI, Worcester, Mass, 1991), 211-235.
• I. Goldhirsch, Spectral Degeneracy and Hydrodynamic Stability, Proc. of the Villefranche Conference on Large Scale Structures in Nonlinear Physics, J-D Fournier and P-L Sulem eds. (Springer, 1991), 242-251.
• D. Lubin and I. Goldhirsch, Scaling of Energy Localization in Mesoscopic Rings, Phys. Rev. B64 (4), 2617-2620 (1992)
• Y. Gefen, D. Lubin and I. Goldhirsch, Dynamics and Scaling Properties of Localization in Energy Space in Two Dimensional Mesoscopic Systems, Phys. Rev. B46 , 7691-7706 (1992).
• N. Sela and I. Goldhirsch, Stability Theory of an Elliptical Vortex, Phys. Fluids A4(10) , 2252-2270 (1992).
• I. Goldhirsch, S.H. Noskowicz and Z. Schuss, Band Edge Localization as Intermittent Chaos, Phys. Rev. B47 , 1918-1935 (1992).
• R. Kuske, Z. Schuss, I. Goldhirsch and S. H. Noskowicz, Schrodinger's Equation on a One Dimensional Lattice with Weak Disorder, SIAM J. Appl. Math. 53 (5), 1210-1252 (1993).
• I. Goldhirsch and G. Zanetti, Clustering Instability in Dissipative Gases, Phys.Rev.Lett. 70 , 1619-1622 (1993).
• I. Goldhirsch, M-L. Tan and G. Zanetti, A molecular dynamical study of granular fluids: the unforced granular gas, J. Sci. Comp. 8 (1), 1-40 (1993).
• I. Goldhirsch and Y. Gefen, Zener Transitions in Mesoscopic Systems, J. Mod. Phys. B (1993) (invited).
• I. Goldhirsch, S. H. Noskowicz and Z. Schuss, Spectral Degeneracy in the One Dimensional Anderson Problem: A Uniform Expansion in the Energy Band, Phys. Rev. B 49 (20), 14504-14522 (1994).
• Y. Braiman, I. Goldhirsch and Y. Klafter, Energy Localization and Delocalization in a Nonlinear Chain on a substrate, Phys. Rev. E 50 (20), 838-842 (1994).
• M-L Tan, Y. H. Qian, I. Goldhirsch and S.A. Orszag, Lattice-BGK approach to simulating granular flows, J. Stat. Phys. 81 (1/2), 87-103 (1995).
• M.-L. Tan, I. Goldhirsch and S. A. Orszag, Instability and Multistability in Rapid Granular Shear Flows, First Asian Computational Fluid Dynamics Conf., Hong Kong, January 1995.
• N. Sela and I. Goldhirsch, Hydrodynamics of a one-dimensional granular medium, Phys. Fluids 7 (3), 507-525 (1995).
• I. Goldhirsch, Solid Flows, Science 267 , 116-117 (1995).
• I. Goldhirsch, ``Microstructures and Kinetics in Rapid Granular Flows'' in ``Traffic and Granular Flows'' pp. 251-266 (World Scientific, 1995).
• I. Goldhirsch and M-L Tan, The Single Particle Distribution Function for Rapid Granular Shear Flows of Smooth Inelastic Disks, Phys. Fluids 8 (7), 1752-1763 (1996)
• I. Goldhirsch and N. Sela, Origin of normal stress differences in rapid granular flows, Phys. Rev. E 54 (4),4458-4461 (1996).
• N. Sela, I. Goldhirsch and S. H. Noskowicz, Kinetic Theoretical Study of a Simply Sheared Granular Gas - to Burnett Order, Phys. Fluids. 8 (9), 2337-2353 (1996).
• M-L Tan and I. Goldhirsch, Intercluster Interactions in Rapid Granular Shear Flows, Phys. Fluids 9 (4), 856-869 (1997).
• N. Sela and I. Goldhirsch, Hydrodynamic Equations for Rapid Flows of Smooth Inelastic Spheres, J. of Fluid Mech., 361 , 41-74 (1998).
• M-L. Tan and I. Goldhirsch, ``Rapid Granular Flows as Mesoscopic Systems'', Phys. Rev. Lett., 81 (14), 3022-3025 (1998).
• I. Goldhirsch, ``Kinetics and Dynamics of Rapid Granular Flows'', in ``Physics of Dry Granular Media'', NATO ASI series E, Appl. Sci. 350 , pp. 371-400 (1998).
• I. Goldhirsch, ``Granular Gases: Probing the Boundaries of Hydrodynamics'', in ``Granular Gases'', T. P\"{o schel and S. Luding Eds., Lecture Notes in Physics, Springer Verlag, Berlin (1999).
• I. Goldhirsch, ``Scales and Kinetics of Granular Flows'', CHAOS 9 (3), 659-672 (1999).
• M-L. Tan and I. Goldhirsch, ``Rapid Granular Flows as Mesoscopic Systems - Reply'', Phys. Rev. Lett. 82 (22), 4567 (1999).
• I. Goldhirsch, ``Rapid Granular Flows: Kinetics and Hydrodynamics'', in N. Bellomo and and M. Pulvirenti, ``Modeling in Applied Sciences: A Kinetic Theory Approach'', Birkhauser, Boston (1999).
• P.J. Mucha, I. Goldhirsch, S.A. Orszag and M. Vergassola, ``Partial Screening in Lattice-Configuration Suspensions'', Phys. Rev. Lett., 83 (17), 3414-3417 (1999).
• 78. I. Goldhirsch and T.P.C. van Noije, ``Green-Kubo Relations for Granular Fluids'', Phys. Rev. E (2000), in press.
• S. H. Noskowicz, O. Bar-Lev and I. Goldhirsch, The single particle distribution for an unforced granular system (1998).
• I. Goldhirsch and S.H. Noskowicz, Out of Band Localization and Random Walk With Random Waiting Times (1998).
• B. Spivak and I. Goldhirsch, Stability of Water Waves: a Unified Approach, (1999) (also TAU report 1993).
• B.J. Glasser and I. Goldhirsch, ``Scale Dependence, Correlations and Fluctuations in Rapid Granular Flows'', submitted to Phys. Fluids (1999).
• I. Goldhirsch and N. Sela, ``Boundary Conditions for Molecular and Granular Gases'', preprint (1999).

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