24 citations · 120 across the 13 of their papers we have counts for
5 papers · 1 filter
Interpolation of the Josephson interaction in highly anisotropic superconductors from a solution of the two dimensional sine-Gordon equation
Yadin Y. Goldschmidt, Sandeep Tyagi
In this paper we solve numerically the two dimensional elliptic sine-Gordon equation with appropriate boundary conditions. These boundary conditions are chosen to correspond to the…
New series representation for Madelung constant
Sandeep Tyagi
A new series representation of the Madelung constant is given. We represent Madelung constant as a sum of an exact term plus an exponentially fast converging series. The remarkable…
Coulomb potentials in two and three dimensions under periodic boundary conditions
Sandeep Tyagi
A method to sum over logarithmic potential in 2D and Coulomb potential in 3D with periodic boundary conditions in all directions is given. We consider the most general form of unit…
Effective way to sum over long range Coulomb potentials in two and three dimensions
Sandeep Tyagi
I propose a method to calculate logarithmic interaction in two dimensions and coulomb interaction in three dimensions under periodic boundary conditions. This paper considers the c…
Flux melting in BSCCO: Incorporating both electromagnetic and Josephson couplings
Sandeep Tyagi, Yadin Y. Goldschmidt
Multilevel Monte Carlo simulations of a BSCCO system are carried out including both Josephson as well as electromagnetic couplings for a range of anisotropies. A first order meltin…