Dr. Aniruddha Chakraborty

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:

Preprint of most recent papers:

• Diffusion on a flat potential in presences of a parabolic sink: Exact analytical solution in Laplace domain,  P. Mondal* & A. Chakraborty (to be submitted) (2019) link.

• An exact time-domain solution of the Schrodinger equation for a new scattering model, R. Saravanan* & A. Chakraborty (to be submitted) (2019) link.

• Some exact time-domain results related to reversible reaction-diffusion systems, R. Saravanan* & A. Chakraborty, Chem. Phys. (under review) (2019) link.

• A new method for solving the non-linear Schrodinger equation: A model for Bose-Einstein Condensation, A. Jangid,  R. Saravanan* & A. Chakraborty (to be submitted) (2019) link. 

• Understanding the dynamics of dipole solvation - An analytically solvable model, A. Jangid,  R. Saravanan* & A. Chakraborty (in preparation) (2019) link.

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

• Multi-channel electron transfer problems in solution - An analytically solvable model, Diwaker,  R. Saravanan* & A. Chakraborty (to be submitted) (2019) link.

• Rattling motion of proton through five membered aromatic ring systems., S. Chamoli* & A. Chakraborty (to be submitted) (2019) link.

• Modelling  the chromatin spring: Better insight into chromosome tethering and confinement using an exact analytical model., M. Ganguly* & A. Chakraborty (to be submitted) (2019) link.
  

• Investigating mechanism of rolling motion of C80 on aluminium, gold & platinum surface, S. Kumar* & A. Chakraborty. (to be submitted) (2019) link.

• Investigating mechanism of rolling motion of C60 on aluminium surface, S. Kumar* & A. Chakraborty (to be submitted) (2019) link.

• Analytical solution of Smoluchowski equation for a potential with a piece-wise linear sink,  P. Mondal* & A. Chakraborty, Physica A (under review) (2019) link.
  

• Exact solution of Schrodinger equation for time dependent narrow gaussian barrier, S. Mudra* & A. Chakraborty, Chem. Phys. (to be submitted) (2019) link.

• Analytical solution of time independent Schrodinger equation for two constant potentials with constant coupling,  P. Mondal* & A. Chakraborty, J. Chem. Phys. (to be submitted shortly) (2019) link

• Theory of Electronic Relaxation in solution with sink of different shapes: An exact analytical solution. S. Mudra* & A. Chakraborty, Chem. Phys. Lett. (minor revision) (2019) link.

• Theory of barrierless electronic relaxation in solution. Two state problems with Dirac Delta coupling models., S. Mudra* & A. Chakraborty, Chem. Phys. (submitted) (2019) link.

• Diffusion on a flat potential with an exponential sink: Exact analytical solution in Laplace domain,  P. Mondal* & A. Chakraborty, Physica A (under review) (2019) link.

• Diffusion on a parabolic potential with a rectangular sink of arbitrary width: Exact analytical solution in Laplace domain,  P. Mondal* & A. Chakraborty, Phys. Rev. E ( submitted) (2019) link.

• Diffusion on a piece-wise linear potential with a  rectangular sink of arbitrary width: Exact analytical solution in Laplace domain,  P. Mondal* & A. Chakraborty, Chem. Phys.  (under review) (2019) link.

• Theory of Barrierless electronic relaxation in solution - Two state problems with Dirac Delta coupling,  S.Mudra* & A. Chakraborty,  Physica A (under review) (2019) link.

• Diffusion on a flat potential with a  rectangular sink of arbitrary width: Exact analytical solution in Laplace domain,  P. Mondal* & A. Chakraborty, Physica A (under review) (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).

• 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.

• Ultra-short potential: A new analytically solvable model,. R. Saravanan*, D. Kumar & A. Chakraborty (submitted) (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. xx, xxx (2019) 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) (2019) 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, Physica A, xx, xxx (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 (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. V. Yadav* & A. Chakraborty,  (to be submitted) (2019) link.

• Curve crossing induced dissociation: An analytically solvable model. V. Yadav* & A. Chakraborty (to be submitted) (2019) link.

• Multichannel scattering problem: Analytical method using Greens function. N. Chamoli, S. Mudra, Diwaker, R. Saravanan* & A. Chakraborty, Mol. Phys. (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. R. Saravanan* & 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. Sharma, S. Mudra & 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, R. Saravanan* & A. Chakraborty (to be submitted) (2019) link.