83 citations · 132 across the 5 of their papers we have counts for
5 papers
Entropy of full covering of the kagome lattice by straight trimers
Deepak Dhar, Tiago J. Oliveira, R. Rajesh +1
We consider the number of ways all the sites of a kagome lattice can be covered by non-overlapping linear rigid rods where each rod covers 3 sites. We establish a 2-to-1 correspond…
The few-body problem of particles with only gravitational interactions
Deepak Dhar
In this article, I discuss the motion of point masses in non-relativistic mechanics, when the interaction between them is purely the Newtonian gravitational interaction, with $…
Distribution of sizes of erased loops of loop-erased random walks in two and three dimensions
Himanshu Agrawal, Deepak Dhar
We show that in the loop-erased random walk problem, the exponent characterizing probability distribution of areas of erased loops is superuniversal. In d-dimensions, the probabili…
Breakdown of Simple Scaling in Abelian Sandpile Models in One Dimension
Agha Afsar Ali, Deepak Dhar
We study the abelian sandpile model on decorated one dimensional chains. We determine the structure and the asymptotic form of distribution of avalanche-sizes in these models, and…
Algebraic Aspects of Abelian Sandpile Models
D. Dhar, P. Ruelle, S. Sen +1
The abelian sandpile models feature a finite abelian group generated by the operators corresponding to particle addition at various sites. We study the canonical decomposition…