My main research interests are in the areas of nuclear and
particle physics and nuclear astrophysics. I also have an interest in
biophysics, statistical mechanics and discrete mathematics. I have done some
work in cosmology.
Presently I am writing a textbook:
Statistical
Models and Stochastic Networks in Physics, Biology and Mathematical Finance.
Specific topics of interest are as follows.
Present main research
topics
Feshbach
resonances in strongly correlated fermionic systems
In particular, proton/neutron systems
with underlying isospin symmetries.
Unitary limit and studies of
limiting universal thermodynamics in these systems
Applying density
functional theory to study properties of hadronic
matter at finite
temperature
Symmetry potential and
the isospin structure of neutron/proton systems and
its role in
neutron stars and
nuclear astrophysics
Using methods from
discrete mathematics and combinatorial analysis to develop
exactly soluble
models in statistical physics. Example-
obtaining the canonical
partition function from a recursive
combinatorial approach which showed that the
liquid/gas phase transition in a two component
nuclear system was first order
Random processes, Levy
distributions and Polya theory – applications to
physics,
biology and
mathematical finance
Recent and
ongoing research
Liquid-Gas phase
transition in finite two component nuclear systems - role of surface
energy, symmetry energy, Coulomb energy and
velocity dependence of the nuclear
interaction. nucleon
effective mass effects
Multifragmentation
& cluster production in nuclear collisions; also its relation to
percolation theory, Ising
models and
Disorder effects in a
nuclear systems
Quantum critical
behavior in correlated hadronic systems
Particle multiplicity
distributions in very high energy elementary particle collisions -
parallels
with Glauber’s photon count distributions. Feynman-Wilson
gas model
Relativistic heavy ion
collisions –developed a statistical model
Large scale structure
in cosmology- theory of voids and hierarchical structure
approaches; correlation functions
Population genetics
& reformulation of physics techniques to issues related to
biophysics; stochastic abundance models
Understanding power
laws, self similarity and scale invariance in the natural sciences
Power laws from a generalized hypergeometric model