V. Balakrishnan

Professor, Department of Physics
Indian Institute of Technology, Madras
Chennai 600 036, India
E-mail: vbalki@physics.iitm.ac.in
Phone : +91-44-22574853   Fax: +91-44-22570509

Research

My current research interests are in the broad areas of dynamical systems and stochastic processes.  More specifically, my recent work has been in chaos (the effects of noise; extreme value statistics; recurrences), random walks, fluctuations, non-equilibrium phenomena, geometric phases, and wave packet revivals.

To avoid ennui (and a feeling of aging!), I tend to move from area to area:

Recent papers

  1. V. Balakrishnan and C. Van den Broeck, Energy transport and heat flux in a
    one-dimensional system.
    Phys. Rev. E 72, 046141(1-8) (2005).
  2. C. Sudheesh, S. Lakshmibala and  V. Balakrishnan, Squeezing and higher-order squeezing
    of photon-added coherent states propagating in a Kerr-like medium.
    J. Opt. B: Quantum & Semiclass. Opt.  7, S728-S735 (2005).
  3. C. Sudheesh, S. Lakshmibala and  V. Balakrishnan, Wave packet dynamics of
    photon-added coherent states.
    Europhys. Letters  71, 744-750 (2005).
  4. V. Natarajan, V. Balakrishnan and N. Mukunda. Einstein's miraculous year.
    Resonance 10, No. 3, pp. 35-56 (2005).
  5.  V. Balakrishnan and S. Lakshmibala,  On the connection between biased dichotomous
    diffusion and the one-dimensional Dirac equation.
    New J. Phys.  7, 11(1-10) (2005).
  6. V. Balakrishnan, Wave propagation: Odd is better, but
    three is the best. 1. The formal solution of the wave equation.
    Resonance 9, No. 6, pp. 30-38 (2004).
  7. V. Balakrishnan, Wave propagation: Odd is better, but
    three is the best. 2. Propagation in spaces of different dimensions.
    Resonance 9, No. 7, pp. 8-17 (2004).
  8. C. Sudheesh, S. Lakshmibala and V. Balakrishnan, Manifestations of wave packet
    revivals in the moments of observables.
    Phys. Letters A 329, 14-21 (2004).
  9. V. Balakrishnan,  All about the Dirac delta function (?)
    Resonance 8, No. 8, pp. 48-58 (2003).
  10. G. Nicolis, V. Balakrishnan and C. Nicolis, Moment evolution and level-crossing statistics
    in dichotomous and multi-level flows with time-dependent control parameters.
    Phys. Rev. E 65, 051109(1-13) (2002).
  11. V. Balakrishnan, I. Bena and C. Van den Broeck, Velocity correlations, diffusion and
    stochasticity in a one-dimensional system.
    Phys. Rev. E 65, 031102(1-9) (2002).
  12. J. J. Kozak and V. Balakrishnan, Analytic expression for
    the mean time to absorption for a random walker on the Sierpinski gasket.
    Phys. Rev. E 65, 021105(1-5) (2002).
  13. V. Balakrishnan, Iterated functions and intermittency.
    Resonance 6, No. 1, pp. 18-27 (2001).
  14. V. Balakrishnan, C. Van den Broeck and I. Bena, Stochastically perturbed flows:
    Delayed and interrupted evolution.
    Stochastics & Dynamics 1, 537-551 (2001).
  15. V. Balakrishnan and C. Van den Broeck, Solvability of the master equation for dichotomous flow.
    Phys. Rev. E 65, 012101(1-4) (2001).
  16. V. Balakrishnan, C. Nicolis and G. Nicolis, Recurrence time
    statistics in chaotic dynamics: Multiple recurrences in
    intermittent chaos.
    Stochastics & Dynamics 1, 345-360 (2001).
  17. V. Balakrishnan and M. Theunissen, Power-law tails and limit
    laws for recurrence time distributions.
    Stochastics & Dynamics 1, 339-344 (2001).
  18. S. Seshadri, S. Lakshmibala and V. Balakrishnan, Control of wave
    packet revivals using geometric phases.
    J. Stat. Phys. 101, 213-224 (2000).
A complete list of publications is also available

Teaching

Over the past 25-30 years I have taught perhaps about 70 courses at the undergraduate, master's, doctoral, and post-doctoral levels, including

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