Dr. Aniruddha Chakraborty

Dr. Aniruddha Chakraborty
School of Basic Sciences
Indian Institute of Technology Mandi
Kamand, Himachal Pradesh 175005
India
ph: +(91)1905-237930
achakraborty@iitmandi.ac.in

Short term (6 - 12 weeks) internships are available from 1st August 2019.

Dr. Aniruddha Chakraborty,

Associate Professor,

School of Basic Sciences,

Indian Institute of Technology Mandi, Kamand, Himachal Pradesh, 175005, India.

Work Experience:

Associate Professor: School of Basic Sciences, Indian Institute of Technology Mandi, Himachal Pradesh, India (2015 -).

Assistant Professor: School of Basic Sciences, Indian Institute of Technology Mandi, Himachal Pradesh, India, 2010-15 (5 yrs.).

Research Associate: Institute of Theoretical Sciences & Department of Chemistry, University of Oregon, Eugene, Oregon, USA. Advisor: Prof. M. E. Kellman, 2005-09 (4.5 yrs.) - Research Area: Understanding the origin of chaos in molecular vibrations.

Research Associate: Condensed Matter Theory Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, Karnataka, India. Advisor: Prof. K. L. Sebastian, 2004-05 (0.5 yrs.) - Research Area: Non-linear vibrations in buckled nano-rod.

Education:

Ph.D.: Department of Inorganic & Physical Chemistry, Indian Institute of Science, Bangalore, Karnataka, India, Advisor: Prof. K. L. Sebastian, 1997-2004 (6.5 yrs.) - Research Area: Theory of single molecule transistor, buckled nanorod, two-dimensional electron solvation & curve crossing problems.

M.Sc.: Department of Chemistry, Rajabazar Science College, University of Calcutta, Kolkata, West Bengal, India, 1995-97 (2 yrs.) - Subjects: Organic Chemistry, Inorganic Chemistry, Industrial Chemistry & Special paper: Physical Chemistry.

B.Sc.: Department of Chemistry, Vivekananda College (Thakurpukur), University of Calcutta, Kolkata, West Bengal, India, 1992-95 (3 yrs.) - Subjects: Organic Chemistry, Inorganic Chemistry, Physical Chemistry, Industrial Chemistry & Bengali.

Higher Secondary: Barisha High School, West Bengal Board of Higher Secondary Education, Kolkata, West Bengal, India, 1990-92 (2 yrs.) - Subjects: Mathematics, Physics, Chemistry, English, Bengali & Biology.

Secondary: Barisha High School, West Bengal Board of Secondary Education, Kolkata, West Bengal, India, 1984-90 (6 yrs.) - Subjects: Mathematics, Physical Sciences, English, Life Sciences, Bengali, History, Geography, Physical Edu. & Biology.

Primary: St. Elizabeth Girl's School, West Bengal Board of Primary Education, Kolkata, West Bengal, India, 1980-84 (4 yrs.) - Subjects: Mathematics, English, Bengali, History, Geography, Physical Education.

Kinder Garden: St. Elizabeth Kinder Garden School, West Bengal Board of Primary Education, Kolkata, West Bengal, India, 1979-80 (1 yr.).

Preprint of most recent papers:

Theory of Barrierless electronic relaxation in solution - Two state problems with Dirac Delta coupling, S.Mudra* & A. Chakraborty, Chem. Phys. Lett. (to be submitted) (2019) link.

Diffusion on a flat potential with a sink of arbitrary width: Exact analytical solution in Laplace domain, P. Mondal* & A. Chakraborty (in preparation) (2019) link.

Two state problem with arbitrary coupling: A simple semianalytical method for estimating transition probability, M. Sharma* & A. Chakraborty, (in preparation) (2019) link.

Transient theory for electronic relaxation in solutions using an one dimensional two state model, R. Saravanan* & A. Chakraborty (submitted) (2019).

Exact solution of Schrodinger equation for time dependent Dirac delta potential barrier, S. Mudra* & A. Chakraborty, Physica A (under review) (2019) link.

Is it possible to have reflection from infinity in quantum scattering problem? R. Saravanan* & A. Chakraborty, (to be submitted) (2019).

Two state model: An analytically solvable model for estimating effect of second state on tunneling time, M. Vashistha* & A. Chakraborty, Chem. Phys. Lett. (under review) (2019) link.

Diffusion on a flat potential with a sink of finite width: Exact analytical solution in time domain, H. Chhabra*, S. Mudra & A. Chakraborty, Physica A (minor revision) (2019) link.

Exact solution of Schrodinger equation for time dependent ultra-short barrier, S. Mudra* & A. Chakraborty, Physica Scripta, xx, xxx (2019) link.

Random walk model for Alzheimer's disease - Exaact analytical solution. U. Singh*, R. Saravanan* & A. Chakraborty (in preparation) (2019).

Understanding progression of Alzheimer's disease using random walk model. U. Singh* & A. Chakraborty (to be submitted) (2019).

Reaction-diffusion system: Fate of a Gaussian probability distribution on a flat potential with a sink. R. Saravanan* & A. Chakraborty, Physica A, xx, xxx (2019) link.

Exact diffusion dynamics of a Gaussian distribution in a two state system. R. Saravanan* & A. Chakraborty, Chem. Phys. Lett., 731, xxx (2019) link.

Quantum physics of the systems with ultra-short potentials: Introduction to a new analytically solvable model. R. Saravanan*, D. Kumar & A. Chakraborty Mol. Phys. (under review) (2019) link.

Exact dynamics of a Gaussian wave-packet in two potential curves coupled at a point. R. Saravanan* & A. Chakraborty, J. Chem. Phys. (to be submitted) (2019) link.

Understanding motion of a proton inside a nano-molecular cage, L. Arora, R. Saravanan* & A. Chakrabory, J. Phys. A (to be submitted) (2019).

Exploring the role of relaxation time, bond length and length of the polymer chain in the kinetics of end-to-end looping of a long polymer chain. An exact analytically solvable model, M. Ganguly* & A. Chakraborty, Chem. Phys. Lett. (under revision) (2017) link.

Analytical expression for end-to-end- auto correlation function of a long chain polymer molecule in solution, M. Ganguly* & A. Chakraborty, Chem. Phys. Lett. (under revision) (2018) link.

Understanding looping kinetics of a long polymer molecule in solution. Exact solution for delocalized sink model, M. Ganguly* & A. Chakraborty, Chem. Phys. (under review) (2017) link.

Understanding reversible looping kinetics of a long polymer molecule in solution. Exact solution for two state model with delta function coupling, M. Ganguly* & A. Chakraborty (to be submitted) (2019) link.

Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach. M. Ganguly* & A. Chakraborty (to be submitted) (2018) link.

Looping of a long chain polymer in solution: Simple derivation for exact solution for a delta function sink. M. Ganguly* & A. Chakraborty (to be submitted) (2018) link.

Nearest Hermitian inverse eigenvalue problem solution with respect to the 2-Norm, M. Padilla*, B. Kolbe & A. Chakraborty [submitted] (2018) link.

Diffusion on a harmonic potential with a sink of finite width: Exact analytical solution in Laplace domain, S. Mudra*, H. Chhabra & A. Chakraborty (under revision) Phys. Rev. E (2018) link.

Effective Thermal Diffusivity in Real Solid. A. Chakraborty (to be submitted) (2019) link.

Pre-dissociation of a diatomic molecule: An analytically solvable model. A. Chakraborty (to be submitted) (2019) link.

Curve crossing induced dissociation: An analytically solvable model. A. Chakraborty (to be submitted) (2019) link.

Multichannel scattering problem: Analytical method using Greens function. Diwaker & A. Chakraborty (to be submitted) (2019) link.

Exact Solution of long range electron transfer through conjugated molecular bridge. Asish Kumar, Diwaker & A. Chakraborty (to be submitted) (2019) link.

Barrierless reactions in solution: An analytically solvable model. A. Chakraborty (under revision) Phys. Rev. E. (2019) link.

Towards Boltzmann Distribution. A. Chakraborty (to be submitted) (2019) link.

Effective Hamiltonian for two-electron Quantum Dots from weak to strong parabolic confinement. T. V. Zache & A. Chakraborty (to be submitetd) (2019) link.

Barrierless Electronic Relaxation in Solution: An analytically solvable model with arbitrary coupling. A. Chakraborty (to be submitted) (2019) link.

Effective Hamiltonian for doubly excited Helium states based on four dimensional Harmonic Oscillator. T. V. Zache & A. Chakraborty (to be submitted) (2019) link.

Electrochemical electron transfer: An Analytically Solvable Model. A. Chakraborty (to be submitted) (2019) link.

Some exact results for the Smoluchowski equation for a parabolic potential with time dependent delta function sink. Diwaker & A. Chakraborty (to be submitted) (2019) link.

Tentative Future Courses

English, B. Tech. Ist year (5 Weeks Induction Progm.).
Computational Chemistry, M.Sc. (Aug. - Dec. 2019).
Mathematics for chemists, M.Sc. (Aug. - Dec. 2019).

Available M. Tech. (Biotechnology) Projects*

Transmission of infection for spreading of epidemics.
Analytical model for evaluating autism.
Mathematical model of influenza.
Impact of large animal extinctions on nutrient fluxes.
Airborne contaminant transport in vehicles.
A model of fibrin gel formation.
Plant Nutrient uptake - an analytical model.
Modelling of ligand migration within protein.
Reaction of neurotransmitters in a synaptic junction.
Force induced rupture of bio macromolecule.
Simple model for understanding electrocardiograms.
Modelling mutation accumulation of cancer.
Molecular Adhesion: A bio-technological process.

Available M. Sc. (Applied Mathematics) Projects*

Sound wave propagation & noise control.
Heat flow through a vibrating solid material.
Moisture diffusion in porous materials.
Simple model for understanding Arnold diffusion.
Bifurcation & Catastrophe map analysis of Hamiltonian system.
Diagonalizing nearly sparse matrice - new algorithm.
Inverse eigenvalue problem for nearly sparse matrix.
Exact solution of Fisher's equation.
Dressed basis method for matrix diagonalization.
Levy flight in presence of a sink.
Pinning and unpinning in non-local systems.

Available Winter Projects (Dec-Jan. 2018)*

Electron transfer reactions in single protein molecule.
Tunneling of a ring through another ring.
Comparison between ligands cyanide & carbon monoxide.
Quantum Carnot engine.
Divergence-free WKB method.
Depinning of a dislocation.
Surface enhanced Raman scattering.
Peeling of a polymer from surface.
Random walk under random potential.
Rotational motion of a proton crane.
Jahn-Teller Effect using quantum cellular automata.
Interaction between two rare gas atoms.

Available M. Sc. (Chemistry) Projects* .

Understanding Acetylene-vinylidene isomerization reaction.
Vibrational dynamics from frequesncy domain spectrum.
Understanding structure of carbon dots.
Understanding the bond formation of H-H molecule.
Fracture in carbon nanotubes.
Solvent effects on Raman ecitation profile.
Forster Resonance Energy Transfer in long polymer chain.
Simple model for understanding fluorescence blinking.
Defining reaction coordinate in phase space.
New molecular knot.
Molecular wire sensor.
Understanding nano-elasticity.

Available I-Ph.D. (Physics) Projects*

Understanding Casimir effect using a simple model.
Dynamics of Bose-Einstein condensation.
Trapping of tethered random walkers.
Bent wire: New bound state.
Rate Theory in phase space.
Surface influenced vibrational spectra.
Ladder operator for bond dissociation process.
Photoelectric effect - effect of electron correlation.
Multi-state problems using quantum cellular Automata.
Reaction dynamics on a continuum of energy surfaces.
Adsorption & desorption of an atom.
Geometric phase effect on multi-channel scattering.

Available M.Sc. (Physics) Projects*

Modeling intercellular communication.
Nuclear shell model with short range interaction.
Quantum Monodromy using effective Hamiltonian.
Analytical solution od Poisson-Boltzmann equation.
Motion of elelctron in DNA.
Quantum Mechanics with restricted harmonic oscillator.
Modelling Mechanical unzipping of DNA.
Simple model of molecular ratchets.
Hawking Radiation & Sine-Gordon Soliton.
Quantum Newtonian cosmology.
Time dependent quantum thermodynamics.
Threshold models for rainfall and convection.

Available B.Tech./M.Tech. (Engg.) Projects*

Exact solution of moving load problem.
Modeling of contaminant transport in rivers.
Effective thermal diffusivity in real solids.
Understanding water movement through fractured rock.
Viscosity coeffcient for nano-fluid.
Image processing: An inverse eigenvalue problem.
Groundwater depletion from a confining layer.
New zipping algorithm for big image files.
Modelling dynamics of railway sleeper.
Thermal diffusion in branched structures.
Brownian Dynamics simulation of polymer looping.
Understanding stochastic ocean waves.
Buckling instability in a bio-polymer chain.

* This is a rough guideline - just to help students. Students can choose any project, mentioned anywhere in this page or their own project irrespctive of their degree or discipline.

Dr. Aniruddha Chakraborty
School of Basic Sciences
Indian Institute of Technology Mandi
Kamand, Himachal Pradesh 175005
India
ph: +(91)1905-237930
achakraborty@iitmandi.ac.in