Rotational sandpile models: A finite size scaling study
Abstract Nontrivial critical behaviour is observed in equilibrium lattice statistical models under rotational constraint. Effect of rotational constraint on lattice statistical models at out of equilibrium situation is important to study. Critical properties of non-equilibrium steady state of sandpile models are studied under rotational constraint via finite size scaling (FSS) analysis. Not only FSS is found to be valid for a wide range of rotational sandpile models but also they are found to belong to the same universality class.
Breakdown of universality in directed spiral percolation
Abstract.Directed spiral percolation (DSP), percolation under both directional and rotational constraints, is studied on the triangular lattice in two dimensions (2D). The results are compared with that of the 2D square lattice. Clusters generated in this model are generally rarefied and have chiral dangling ends on both the square and triangular lattices. It is found that the clusters are more compact and less anisotropic on the triangular lattice than on the square lattice. The elongation of the clusters is in a different direction than the imposed directional constraint on both the lattices. The values of some of the critical exponents and fractal dimension are found considerably different on the two lattices. The DSP model then exhibits a breakdown of universality in 2D between the square and triangular lattices. The values of the critical exponents obtained for the triangular lattice are not only different from that of the square lattice but also different form other percolation models.
A STUDY ON ORGANIZED RETAILING AND ITS CHALLENGES AND RETAIL CUSTOMER SERVICES
India is becoming most favored retail destination in the world. Today retail sector contributing 10% to countryâ€™s GDP. Indian retail industry is ranked among the ten largest retail markets in the world. The change of attitudes of Indian consumers and the emergence of organized retail formats have transformed the face of retailing in India. Organized retailing offers huge potential for future growth of retailing in India. This paper provides information about the growth of retailing in India. And also focuses on the challenges faced by organized retail sector in India. It also emphasize on major players of retailers in India and customer services provided by the retailers. This paper also deals with various retail formats and the opportunities for the growth of retail industry in India and also provides some suggestions to overcome the challenges.