Zobrazeno 1 - 10
of 188
pro vyhledávání: '"Sangaranarayanan, M V"'
Autor:
Vismaya, M V, Sangaranarayanan, M V
We demonstrate the applicability of the $\epsilon$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high temperature suscep
Externí odkaz:
http://arxiv.org/abs/2410.15785
Autor:
Vismaya, M V, Sangaranarayanan, M V
The equations for the spontaneous magnetization for different three-dimensional lattices have been derived in a heuristic manner. The estimated critical temperatures for simple cubic, face-centered cubic, body-centered cubic and diamond lattices are
Externí odkaz:
http://arxiv.org/abs/2406.08531
Autor:
Vismaya, M V, Sangaranarayanan, M V
A unified algebraic structure is shown to exist among various equations for the critical temperatures pertaining to diverse two- and three-dimensional lattices. This isomorphism is a pointer to the straight-forward extension of two-dimensional result
Externí odkaz:
http://arxiv.org/abs/2403.14303
Autor:
Sangaranarayanan, M V
The zero-field partition function of two-dimensional nearest neighbor Ising models of square lattices is derived in terms of the generalized hypergeometric series by evaluating the integral in the exact solution of Onsager. An approximate equation fo
Externí odkaz:
http://arxiv.org/abs/2303.09853
Autor:
Priya, Anshu, Sangaranarayanan, M V
Using a combinatorial method, the partition functions for two-dimensional nearest neighbour Ising models have been derived for a square lattice of 16 sites in the presence of the magnetic field. A novel hierarchical method of enumeration of all the c
Externí odkaz:
http://arxiv.org/abs/2205.11259
Autor:
Sangaranarayanan, M V
Employing the exact solution of Onsager for two-dimensional Ising models, simple expressions are proposed for computing the partition function, magnetization, specific heat and susceptibility for non-zero magnetic fields of square lattices. The parti
Externí odkaz:
http://arxiv.org/abs/2005.04024
Autor:
Sangaranarayanan, M. V.
Employing heuristic susceptibility equations in conjunction with the well-known critical exponents, the magnetization and partition function for two-dimensional nearest neighbour Ising models are formulated in terms of the Gauss hypergeometric functi
Externí odkaz:
http://arxiv.org/abs/1912.08054
We report an efficient methodology for enumerating the Hamiltonian walks in two and three dimensional lattices of large sizes, using the concept of centroids. This strategy, with the help of JAVA programming enables the exact computation of the Hamil
Externí odkaz:
http://arxiv.org/abs/1904.05776
The precise sequence of aminoacids plays a central role in the tertiary structure of proteins and their functional properties. The Hydrophobic-Polar lattice models have provided valuable insights regarding the energy landscape. We demonstrate here th
Externí odkaz:
http://arxiv.org/abs/1503.07965
Autor:
Sangaranarayanan, M. V.
The partition function and magnetization equations are derived for the two-dimensional nearest neighbour Ising models in a magnetic field.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1302.1084