# Faculty Publications - Allan J. Lichtenberg

## Books

- M. A. Lieberman and A. J. Lichtenberg,
*Principles of Plasma Discharges and Materials Processing*, 2nd ed., Wiley Interscience, Hoboken, NJ: Wiley, 2005. [abstract] - M. A. Lieberman and A. J. Lichtenberg,
*Principles of Plasma Discharges and Materials Processing*, 1st ed., Wiley-Interscience, Hoboken, NJ: John Wiley and Sons, 1994. - A. J. Lichtenberg and M. A. Lieberman,
*Regular and Chaotic Dynamics*, 2nd ed., Applied Mathematical Sciences, Vol. 38, New York, NY: Springer-Verlag, 1992. [abstract] - A. J. Lichtenberg and M. A. Lieberman,
*Regular and Stochastic Motion*, 1st ed., Applied Mathematical Sciences, Vol. 38, New York, NY: Springer-Verlag, 1983. [abstract] - A. J. Lichtenberg,
*Phase-Space Dynamics of Particles*, Wiley Series in Plasma Physics, New York: Wiley, 1969. [abstract]

## Selected Articles in journals or magazines

- E. Kawamura, A. J. Lichtenberg, and M. A. Lieberman, "Secondary electrons in rf and dc/rf capacitive discharges,"
*Plasma Sources Science and Technology*, vol. 17, no. 4, pp. 045002-1-11, Nov. 2008. - T. Mussenbrock, R. P. Brinkmann, M. A. Lieberman, A. J. Lichtenberg, and E. Kawamura, "Enhancement of ohmic and stochastic heating by resonance effects in capacitive radio frequency discharges: A theoretical approach,"
*Physical Review Letters*, vol. 101, no. 8, pp. 085004-1-4, Aug. 2008. - M. A. Lieberman, A. J. Lichtenberg, E. Kawamura, T. Mussenbrock, and R. P. Brinkman, "The effects of nonlinear series resonance on ohmic and stochastic heating in capacitive discharges,"
*Physics of Plasmas*, vol. 15, no. 6, pp. 063505-1-7, June 2008. - P. Chabert, A. J. Lichtenberg, and M. A. Lieberman, "Theory of a double-layer in an expanding electronegative plasma,"
*Physics of Plasmas*, vol. 14, no. 9, pp. 093502-1-11, Sep. 2007. - E. Kawamura, M. A. Lieberman, A. J. Lichtenberg, and E. A. Hudson, "Capacitive discharges driven by combined dc/rf sources,"
*J. Vacuum Science and Technology A: Vacuum, Surfaces, and Films*, vol. 25, no. 5, pp. 1456-1474, Sep. 2007. - S. Kim, M. A. Lieberman, A. J. Lichtenberg, and J. T. Gudmundsson, "Improved volume-averaged model for steady and pulsed-power electronegative discharges,"
*J. Vacuum Science and Technology A: Vacuum, Surfaces and Films*, vol. 24, no. 6, pp. 2025-2040, Nov. 2006. - S. Kim, Z. Zhou, M. A. Lieberman, and A. J. Lichtenberg, "Relaxation oscillations in a capacitive discharge chamber connected to a peripheral grounded chamber,"
*J. Applied Physics*, vol. 100, no. 10, pp. 103302-1-9, Nov. 2006. - M. A. Lieberman, A. J. Lichtenberg, S. Kim, J. T. Gudmundsson, D. L. Keil, and J. Kim, "Plasma ignition in a grounded chamber connected to a capacitive discharge,"
*Plasma Sources Science and Technology*, vol. 15, no. 2, pp. 276-287, May 2006. - E. Kawamura, M. A. Lieberman, and A. J. Lichtenberg, "Stochastic heating in single and dual frequency capacitive discharges,"
*Physics of Plasmas*, vol. 13, no. 5, pp. 053506-1-14, May 2006. - C. G. Goedde, A. J. Lichtenberg, and M. A. Lieberman, "Self-consistent stochastic electron heating in radio frequency discharges,"
*J. Applied Physics*, vol. 64, no. 9, pp. 4375-4383, Nov. 1988. - M. A. Lieberman and A. J. Lichtenberg, "Stochastic and adiabatic behavior of particles accelerated by periodic forces,"
*Physical Review A*, vol. 5, no. 4, pp. 1852-1866, April 1972. - B. G. Logan, A. J. Lichtenberg, M. A. Lieberman, and A. Makhijani, "Multiple-mirror confinement of plasmas,"
*Physical Review Letters*, vol. 28, no. 3, pp. 144-147, Jan. 1972.

## Selected Articles in conference proceedings

- T. Mussenbrock, D. Ziegler, M. Gebhardt, R. P. Brinkmann, M. A. Lieberman, A. J. Lichtenberg, and E. Kawamura, "Nonlinear resonance effects on electron heating in capacitive discharges," in
*Proc. 35th IEEE Intl. Conf. on Plasma Science (ICOPS 2008)*, Piscataway, NJ: IEEE Press, 2008, pp. 1 pg.

## Technical Reports

- M. A. Lieberman, A. J. Lichtenberg, S. Kim, and J. T. Gudmunsson, "Ignition Conditions for Peripheral Plasma in a Grounded Chamber Connected to a Dual Frequency Capactive Discharge," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M05/10, March 2005.
- Y. Lee, M. A. Lieberman, A. J. Lichtenberg, F. Bose, H. Baltes, and R. Patrick, "Global Model for High Pressure Electronegative Radio-Frequency Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M96/23, 1996.
- P. Khoury, M. A. Lieberman, and A. J. Lichtenberg, "Measurement of Synchronization in Noisy and Chaotic Dynamical Systems," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M95/103, 1995.
- I. Kouznetsov, A. J. Lichtenberg, and M. A. Lieberman, "Modeling Electronegative Discharges at Low Pressure," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M95/97, 1995.
- P. Wainman, M. A. Lieberman, A. J. Lichtenberg, R. Stewart, and C. Lee, "Characterization at Different Aspect Ratios (Radius/Length) of a Radio Frequency Inductively Coupled Plasma Source," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M94/56, 1994.
- J. De Luca, A. J. Lichtenberg, and M. A. Lieberman, "Time Scale to Ergodicity in the FPU System," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M93/92, 1993. [abstract]
- A. J. Lichtenberg, V. Vahedi, M. A. Lieberman, and T. Rognlien, "Modeling Electronegative Plasma Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M93/74, 1993. [abstract]
- B. Wood, A. J. Lichtenberg, and M. A. Lieberman, "Arnold Diffusion in Many Dimensions," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M93/13, 1993. [abstract]
- M. de Sousa Vieira, A. J. Lichtenberg, and M. A. Lieberman, "On Synchronization of Regular and Chaotic Systems," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M92/72, 1992.
- M. de Sousa Vieira, A. J. Lichtenberg, and M. A. Lieberman, "Self-Synchronization of Many Coupled Oscillators," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M92/20, 1992.
- A. J. Lichtenberg, "Arnold Diffusion in a Torus with Time- Varying Fields," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M92/9, 1992.
- M. de Sousa Vieira, P. Khoury, A. J. Lichtenberg, M. A. Lieberman, W. Wonchoba, J. Gullicksen, J. Huang, R. Sherman, and M. Steinberg, "Numerical and Experimental Studies of Self-Synchronization and Synchronized Chaos," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M92/5, 1992. [abstract]
- M. Williamson, A. J. Lichtenberg, and M. A. Lieberman, "Self-Consistent Electron Cyclotron Resonance Absorption in a Plasma with Varying Parameters," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M91/114, 1991.
- J. Gullicksen, M. de Sousa Vieira, M. A. Lieberman, R. Sherman, A. J. Lichtenberg, J. Huang, W. Wonchoba, M. Steinberg, and P. Khoury, "Secure Communications by Synchronization to a Chaotic Signal," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M91/89, 1991.
- S. Parker, X. Xu, A. J. Lichtenberg, and C. K. Birdsall, "Evidence of Stochastic Diffusionn Across a Cross-Field Sheath Due to Kelvin-Helmholtz Vortices," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M91/79, 1991.
- C. Goedde, A. J. Lichtenberg, and M. A. Lieberman, "Chaos and the Approach to Equilibrium in the Discrete Sine-Gordon Equation," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M91/76, 1991.
- M. de Sousa Vieira, A. J. Lichtenberg, and M. A. Lieberman, "Nonlinear Dynamics of Self-Synchronizing Systems," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M91/6, 1991.
- B. Wood, M. A. Lieberman, and A. J. Lichtenberg, "Sheath Motion in a Capacitively Coupled Radio Frequency Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M90/83, 1990.
- D. Carl, M. Williamson, M. A. Lieberman, and A. J. Lichtenberg, "Axial RF Electric Field Intensity and Ion Density During Low to High Mode Transition in Argon Electron Cyclotron Resonance Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M90/81, 1990.
- M. A. Lieberman, A. J. Lichtenberg, and S. Savas, "Model of Magnetically Enhanced Capacitive RF Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M90/58, 1990.
- B. Wood, A. J. Lichtenberg, and M. A. Lieberman, "Arnold Diffusion in Weakly Coupled Standard Maps," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M90/42, 1990. [abstract]
- M. A. Lieberman, A. J. Lichtenberg, and D. Flamm, "Theory of a Helical Resonator Plasma Source," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M90/10, 1990. [abstract]
- C. Goedde, A. J. Lichtenberg, and M. A. Lieberman, "Parametric Instabilities in the Discrete Sine-Gordon Equation," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M89/79, 1989.
- A. J. Lichtenberg and B. Wood, "Diffusion on Two Space and Time Scales," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M89/22, 1989.
- G. Misium, A. J. Lichtenberg, and M. A. Lieberman, "Macroscopic Modelling of R.F. Plasma Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M88/86, 1988.
- R. Moroney, A. J. Lichtenberg, and M. A. Lieberman, "Cavity Perturbation Measurement of Plasma Density in Complex Geometry R.F. Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M88/81, 1988.
- A. J. Lichtenberg and B. Wood, "Diffusion Through a Stochastic Web," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M88/48, 1988.
- C. Goedde, A. J. Lichtenberg, and M. A. Lieberman, "Self-Consistent Stochastic Electron Heating in Radio Frequency Discharges," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M88/29, 1988.
- A. J. Lichtenberg and M. A. Lieberman, "Diffusion in Two Dimensional Mappings," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M88/5, 1988.
- G. Bernstein, M. A. Lieberman, and A. J. Lichtenberg, "Nonlinear Dynamics of a Digital Phase Locked Loop," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M87/59, 1987.
- R. Close and A. J. Lichtenberg, "Ballooning Modes in an Axisymmetric Mirror Machine," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M87/29, 1987.
- A. J. Lichtenberg, M. A. Lieberman, and R. Cohen, "Transient Electrostatic Potentials Driven by Short-Pulse Electron Cyclotron Heating," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M87/17, 1987.
- H. Ramachandran, A. J. Lichtenberg, M. A. Lieberman, and A. Sen, "Collisional Treatment of the Trapped Particle Mode in Multi-Region Mirror Systems," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M87/16, 1987.
- A. J. Lichtenberg, M. A. Lieberman, and N. Murray, "The Effect of Quasi-Accelerator Modes on Diffusion," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M86/100, 1986.
- C. Chang, H. Meuth, M. A. Lieberman, and A. J. Lichtenberg, "Observation of a Potential Barrier Created by Electron Cyclotron Resonance Heating in a Multiple Mirror Plasma," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M86/68, 1986.
- R. Close, B. Kang, A. J. Lichtenberg, M. A. Lieberman, and H. Meuth, "Experimental Observation of Wall Stabilization of Axisymmetric Mirrors at High Beta," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M86/7, 1986.
- J. Fernandez, C. Chang, A. J. Lichtenberg, M. A. Lieberman, and H. Meuth, "Observation of a Curvature Driven, Trapped Particle Mode Created by a Potential Barrier," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M85/41, 1985.
- N. Murray, M. A. Lieberman, and A. J. Lichtenberg, "Corrections to Quasilinear Diffusion in Area Preserving Maps," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M84/102, 1984.
- K. Doniger, M. A. Lieberman, and A. J. Lichtenberg, "A Theoretical Study of ICRF Effects on Multiple Mirror Confinement," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M84/19, 1984.
- J. Howard, A. J. Lichtenberg, M. A. Lieberman, and R. Cohen, "Collisionless Diffusion in Two-Frequency Electron Cyclotron Resonance Heating," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M83/65, 1983.
- J. Fernandez, A. J. Lichtenberg, M. A. Lieberman, and N. Benjamin, "Potential Barrier Decoupling of Stable and Unstable Regions of Average Minimum B Magnetic Mirrors," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M83/22, 1983.