Dr. Arvind Kumar Gupta

Associate Professor
Department of Mathematics
akgupta[AT]iitrpr.ac.in
Phone No: 01881-242140
Room No. 233

Biography

Dr. Gupta is working as an Associate Professor in the Department of Mathematics, IIT Ropar. After obtaining his Master and Doctoral degree from IIT Roorkee, he joined BITS Pilani in 2006 as an Assistant Professor in the Mathematics Group and later in 2010 joined Department of Mathematics, IIT Ropar. Dr. Gupta's areas of research interests include Mathematical Modeling of Traffic flow, Asymmetric simple exclusion process, Lattice hydrodynamics and Cellular Automata.

Areas of Research

Mathematical Modeling
Driven Diffusive Systems
Lattice Hydrodynamics

Education

Ph.D., Indian Institute of Technology Roorkee, India, 2007
M.Sc., Indian Institute of Technology Roorkee, India, 2001

Work Experience

Associate Professor, Indian Institute of Technology Ropar, India, 2015-Present
Assistant Professor, Indian Institute of Technology Ropar, India, 2010-2015
Assistant Professor, BITS Pilani, India, 2006-2010

Selected Publications/Patents

2018
  1. T. Midha, L. V F Gomes, A. B. Kolomeisky, A. K. Gupta, "Theoretical Investigations of Asymmetric Simple Exclusion Processes for Interacting Oligomers", Journal of Statistical Mechanics, (Accepted).
  2. I. Dhiman, A. K. Gupta, "Steady-state dynamics of an inhomogeneous two-channel TASEP with Langmuir kinetics", Int. J. of Modern Phys. C, 29(4) 1850037.
  3. N. Sharma, A. K. Verma and A. K. Gupta, "The robustness in dynamics of out of equilibrium bidirectional transport systems with constrained entrances", Physics Letters A, 382(21), 1383-1388.
  4. T. Midha, A. B Kolomeisky, A. K. Gupta, "Effect of Interactions for One-Dimensional Asymmetric Exclusion Processes under Periodic and Bath-Adapted Coupling Environment", Journal of Statistical Mechanics, (2018) 043205.
  5. A. K. Verma, A. K. Gupta, "Limited resources in multi-lane stochastic transport system", J. Phys. Commun. 2 045020.
  6. A. K. Verma, N. Sharma, and A. K.Gupta, "Far-from-equilibrium bidirectional transport system with constrained entrances competing for pool of limited resources", Physical Review E, 97, 022105.


2017
  1. T. Midha, A. K. Gupta, " Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments", Journal of Statistical Physics, 169 (4) 824–845.
  2. T. Midha, A. K. Gupta, A. B. Kolomeisky, "The Effect of Side Motion in the Dynamics of Interacting Molecular Motors", Journal of Statistical Mechanics: Theory and Experiment, 2017, 073202.
  3. N. Sharma, A. K. Gupta, "Phase segregation and Spontaneous Symmetry Breaking in a bidirectional two-channel non-conserving model with narrow entrances", Journal of Statistical Mechanics: Theory and Experiment, 2017 (4), 043211.
  4. N. Sharma, A. K. Gupta, "Impact of time delay on the dynamics of SEIR epidemic model using cellular automata", Physica A, 471, 114-125.


2016
  1. A. K. Gupta, "Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics", Journal of Statistical Physics (Accepted).
  2. I. Dhiman, A. K Gupta, "Collective dynamics of an inhomogeneous two-channel exclusion process: Theory and Monte Carlo simulations", Journal of Computational Physics, 309, 227–240.
  3. P. Redhu, A K. Gupta, “Effect of forward looking sites on a multi-phase lattice hydrodynamic model”, Physica A, 445, 150-160.
  4. Y. Sharma, P. S. Dutta and A. K. Gupta, "Anticipating regime shifts in gene expression: The case of an autoactivating positive feedback loop", Physical Review E, APS, 2016, (Article in Press).


2015
  1. Y Sharma, K C Abbott, P S Dutta, A K Gupta, "Stochasticity and bistability in insect outbreak dynamics", Theoretical Ecology, 8 (2), 163–174.
  2. A. K. Verma, A. K. Gupta, I. Dhiman, "Phase diagrams of three-lane asymmetrically coupled exclusion process with Langmuir kinetics", Europhysics Letters 112, 30008.
  3. P. Redhu, A. K. Gupta, "Delayed-feedback control in a Lattice hydrodynamic model", Communications in Nonlinear Science and Numerical Simulation, 27, 263-270.
  4. P. Redhu, A. K. Gupta, "Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing", Physica A, 421, 249–260.
  5. A. K. Gupta, S. Sharma, P. Redhu, "Effect of multi-phase optimal velocity function on jamming transition in a lattice hydrodynamic model with passing", Nonlinear Dynamics, 80, 1091-1108.


2014
  1. Y. Sharma, K.C. Abbott, P. S. Dutta and A. K. Gupta, "Stochasticity and bistability in insect outbreak dynamics", Theoretical Ecology, Springer, 2014. (Article in Press) DOI: 10.1007/s12080-014-0241-9.
  2. A. K. Gupta, I. Dhiman, “Phase diagram of a continuum traffic flow model with a static bottleneck”, Nonlinear Dynamics, (accepted).
  3. I. Dhiman & A. K. Gupta, “Effect of coupling strength on a two-lane partially asymmetric coupled totally asymmetric simple exclusion process with Langmuir kinetics”, Physical Review E, 90, 012114.
  1. I. Dhiman & A. K. Gupta , “Two-channel totally asymmetric simple exclusion process with Langmuir kinetics: The role of coupling constant”, Europhysics Letters,107, 20007.
  2. Bharti Sharma, V. K. Katiyar, A. K. Gupta, Fuzzy Logic Model for the Prediction of Traffic Volume in Week Days, Int. J. of Computer Applications, 107(17), 1.
  3. A. K. Gupta & I. Dhiman, “Asymmetric coupling in two-lane simple exclusion processes with Langmuir kinetics:Phase diagrams and boundary layers”, Physical Review E 89, 022131.
  4. A. K. Gupta & I. Dhiman, “Analyses of a continuum traffic flow model for a non-lane-based system”, Int. J. Mod. Phys. C, 25, 1450045.
  5. A. K. Gupta, S. Sharma, P. Redhu, "Analyses of lattice traffic flow model on a gradient highway", Comm. theort. Phys., 62, 393.
  6. P. Redhu & A. K. Gupta, “Phase transition in a two-dimensional triangular flow with consideration of optimal current difference effect” Nonlinear Dynamics, 78, 957-968.
  7. B. Sharma, V. K. Katiyar, A. K.Gupta, A. Singh, “The Automated Vehicle Detection of Highway Traffic Images by Differential Morphological Profile”, Journal of Transportation Technologies, 4 (02), 150.
  8. A. K. Gupta & P. Redhu, “Analysis of a modified two-lane lattice model by considering the density difference effect”, Comm. in Nonlinear Sci.& Num. Sim.,19 (5), 1600–1610.
  9. A. K. Gupta & P. Redhu, “Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing”, Nonlinear Dynamics, 76, 1001-1011.

2013
  1. A. K. Gupta,“A section approach to a traffic flow model on networks”, Int. J. Mod. Phys. C, 25(4) 1350018.
  2. A. K. Gupta & I. Dhiman, “Coupling of two asymmetric exclusion processes with open boundaries, Physica A: Statistical Mechanics and its Applications, 392 (24), 6314–6329.
  3. A. K. Gupta & P. Redhu, “Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system”, Physica A: Statistical Mechanics and its Applications, 392 (22), 5622–5632.
  4. A. K. Gupta & P. Redhu, “Jamming transition of a two-dimensional traffic dynamics with consideration of optimal current difference”, Physics Letters A, 377, 2027–2033.

Other Information



 

Some Earlier Publications

 

  1. A. K. Gupta and S.Sharma, “Analysis of wave properties of a new two-lane continuum model with consideration of the coupling effect”, Chin. Phys. B. 21(1), 015201, 2012.
  2. A. K. Gupta and S. Sharma, “Nonlinear analysis of traffic jams in an anisotropic continuum model”, Chinese Physics B, 19(11) 110503,2010
  3. A. K. Gupta and V. K. Katiyar, “A new multi-class continuum model for traffic flow”, Transportmetrica, 3(1) 73-85,2007.
  4. A. K. Gupta and V. K. Katiyar, “A new anisotropic continuum model for traffic flow”, Physica A: Statistical Mechanics and its Applications, 368 (2), 551-559,2006.
  5. A. K. Gupta and V. K. Katiyar, “Phase transition of traffic states with an on-ramp”, Physica A: Statistical Mechanics and its Applications, 371 (2), 674-682,2006.
  6. A. K. Gupta and V. K. Katiyar, “Analyses of shock waves and traffic jams”, Journal of Physics A: Mathematical and General, May (38), 4069-4083,2005.

 


 

Sponsored Research Projects:

 

  1. DST Project entitled, “Mathematical modeling of two channel exclusion processes relevant to real world: Analysis & Simulation” from 2014-17.
  2. ISRD Project entitled, “Analyses and Simulation of a continuum traffic flow model for large-scale traffic networks” from 2011-2014.

 


Research Group
Poonam Redhu
Poonam Redhu

Research Interest: I was a senior research fellow in Department of Mathematics, IIT Ropar from Aug, 2011 to July, 2016. My research interest broadly includes modeling, analyses and Simulation of traffic flow through lattice hydrodynamic approach (one or higher dimensional). The main applications of my research have in traffic flow, e.g. to eliminate accident, environment pollution problems and prevent traffic-transportation time.


Thesis Title : Analyses Of Lattice Hydrodynamic Models In Traffic Flow
Email : poonamr@iitrpr.ac.in
Thesis Defended : 3rd July, 2016
Present Position: Assistant Professor, Maharshi Dayanand University, Rohtak


Homepage: http://www.iitrpr.ac.in/poonam-redhu

Link to researchgate profile:
https://www.researchgate.net/profile/Poonam_Redhu?ev=hdr_xprf

Link to researchscholar profile:
http://scholar.google.co.in/citations?user=Bu_DTlsAAAAJ&hl=en

Isha Dhiman
Isha Dhiman

Research Interest: I was a senior research fellow (CSIR) in the department of Mathematics at IIT, Ropar from July, 2010 to Sept, 1016. My research interests include broadly the study of non-equilibrium phenomena in driven diffusive systems using asymmetric simple exclusion process (ASEP). These processes have applications in biological intra-cellular transport, vehicular traffic and many stochastic transport phenomena relevant to physics, chemistry and information theory etc.


Thesis Title : Analyses Of Two-Channel Asymmetric Simple Exclusion Processes
Email : ishad@iitrpr.ac.in
Thesis Defended : 16th Sept, 2016
Present Position: Assistant Professor, Thapar University, Patiala


Homepage: http://www.iitrpr.ac.in/isha-dhiman

Link to researchgate profile:
https://www.researchgate.net/profile/Isha_Dhiman?ev=hdr_xprf

Link to researchscholar profile:
http://scholar.google.co.in/citations?user=r9zJDxIAAAAJ&hl=en



Yogita Sharma
Yogita Sharma

Research Interest: I was a senior research fellow (CSIR) in the department of Mathematics at IIT, Ropar from  I am currently working on stochastic methods and statistical analysis of biological processes. My main interest is in regime shifts in nature and modeling cellular and genetic networks with a special focus on protein synthesis. I focus on identifying early warning signals of regime shift that are not fully explained by existing ecological theory.


Thesis Title : Regime Shifts In Bistable Biological Systems
Email : yogita.sharma@iitrpr.ac.in
Thesis Defended : 24th Oct, 2017
Present Position: Postdoctoral position in University of California, Berkeley (Soon to join)



Atul Kumar Verma
Atul Kumar Verma

Email : atulkv@iitrpr.ac.in

Research Interest: Presently, I am Research Scholar in Department of Mathematics, IIT Ropar. My research include the study of multi-channel exclusion processes, in particular asymmetric simple exclusion process (ASEP) which is a discrete model and is used to study different non-equlibrium complex phenomena in driven diffusive systems. In ASEP, particles move along the lattice by hopping between neighbouring sites that are vacant. Such processes are applied in many non-equlibrium phenomena like intracellular transport, vehicular traffic, surface growth, kinetics of biopolymerization, protein synthesis, transport of motor proteins in biological cells, modeling of ant trails and many stochastic particle systems far from equilibrium related to physics, chemistry and biology etc.

Tripti Midha
Tripti Midha

Email : tripti.midha@iitrpr.ac.in

Research Interest: Presently, I am Research Scholar in Department of Mathematics, IIT Ropar. My research include Mathematical Modeling.

Natasha Sharma
Natasha Sharma

Email : natasha.sharma@iitrpr.ac.in

Research Interest: Presently, I am JRF on DST Project entitled " Mathematical modeling of two channel exclusion processes relevant to real world: Analysis and Simulation" in the Department of Mathematics, IIT Ropar. My research include Bio Mathematics, Cellular Automata.

Akriti Jindal
Akriti Jindal

Email : 2017maz0001@iitrpr.ac.in

Research Interest: Presently, I am Research Scholar in Department of Mathematics, IIT Ropar. My research area is Mathematical Modelling.