361 citations · 858 across the 12 of their papers we have counts for
12 papers
Fokker Planck Equation on Fractal Curves
Seema E. Satin, Abhay Parvate, A. D. Gangal
A Fokker Planck equation on fractal curves is obtained, starting from Chapmann-Kolmogorov equation on fractal curves. This is done using the recently developed calculus on fractals…
Calculus on fractal subsets of real line - I: formulation
Abhay Parvate, A. D. Gangal
A new calculus based on fractal subsets of the real line is formulated. In this calculus, an integral of order , called -integral, is defined, which is suitabl…
Shape anisotropy and Voids
Gauri R. Pradhan, Sagar A. Pandit, Anil D. Gangal +1
Numerical simulations on a 2-dimensional model system showed that voids are induced primarily due to shape anisotropy in binary mixtures of interacting disks. The results of such a…
Generalized Nambu system on S^3 and spinors
Sagar A. Pandit, Anil D. Gangal
It is shown that the manifold S^3 can be equipped with a natural Nambu structure arising out of a cross product on the tangent space. Further, the group action of SU(2) on S^3 is s…
Momentum maps and Noether theorem for generalized Nambu mechanics
Sagar A. Pandit, Anil D. Gangal
In Ref.~\cite{Sag} we proposed a geometric formulation of generalized Nambu mechanics. In the present paper we extend the class of Nambu systems by replacing the stringent conditio…
Effect of shape anisotropy on transport in a 2-dimensional computational model: Numerical simulations showing experimental features observed in biomembranes
Gauri R. Pradhan, Sagar A. Pandit, Anil D. Gangal +1
We propose a 2-d computational model-system comprising a mixture of spheres and the objects of some other shapes, interacting via the Lennard-Jones potential. We propose a reliable…