82 citations · 1.8k across the 93 of their papers we have counts for
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Phase transitions in systems of particles with only hard-core interactions
Deepak Dhar, R. Rajesh, Aanjaneya Kumar
This article contains our comments and views on the status of the current understanding of phase transitions in systems with only hard-core interactions, based on our work in this…
Mpemba effect for a Brownian particle trapped in a single well potential
Apurba Biswas, R. Rajesh
Mpemba effect refers to the counterintuitive phenomenon of a hotter system equilibrating faster than a colder system when both are quenched to the same low temperature. For a Brown…
Mpemba effect in a Langevin system: population statistics, metastability and other exact results
Apurba Biswas, R. Rajesh, Arnab Pal
The Mpemba effect is a fingerprint of the anomalous relaxation phenomenon wherein an initially hotter system equilibrates faster than an initially colder system when both are quenc…
Mpemba effect in driven granular gases: role of distance measures
Apurba Biswas, V . V. Prasad, R. Rajesh
Mpemba effect refers to the counterintuitive effect where a system which is initially further from the final steady state equilibrates faster than an identical system that is initi…
Lattice models for ballistic aggregation: cluster-shape dependent exponents
Fahad Puthalath, Apurba Biswas, V. V. Prasad +1
We study ballistic aggregation on a two dimensional square lattice, where particles move ballistically in between momentum and mass conserving coalescing collisions. Three models a…
A Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation
Rahul Dandekar, R. Rajesh, V. Subashri +1
We develop a biased Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels. Given a trajectory with a fixed nu…
Blast waves in two and three dimensions: Euler versus Navier Stokes equations
Amit Kumar, R. Rajesh
The exact solution of the Euler equation, which describes the time evolution of a blast wave created by an intense explosion, is a classic problem in gas dynamics. However, it has…
The phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice
Aagam Shah, Deepak Dhar, R. Rajesh
A system of hard rigid rods of length on hypercubic lattices is known to undergo two phases transitions when chemical potential is increased: from a low density isotropic phase…
Phases of the hard-plate lattice gas on a three-dimensional cubic lattice
D. Mandal, G. Rakala, K. Damle +2
We study the phase diagram of a system of hard plates on the three dimensional cubic lattice, {\em i.e.} a lattice gas of plates that each cover an elementary p…
Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
Asweel Ahmed A. Jaleel, Dipanjan Mandal, R. Rajesh
We obtain the phase diagram of the hard core lattice gas with third nearest neighbor exclusion on the triangular lattice using Monte Carlo simulations that are based on a rejection…
Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
Asweel Ahmed A. Jaleel, Jetin E. Thomas, Dipanjan Mandal +2
We introduce a rejection-free, flat histogram, cluster algorithm to determine the density of states of hard-core lattice gases. We show that the algorithm is able to efficiently sa…
Mpemba effect in anisotropically driven inelastic Maxwell gases
Apurba Biswas, V. V. Prasad, R. Rajesh
Through an exact analysis, we show the existence of Mpemba effect in an anisotropically driven inelastic Maxwell gas, a simplified model for granular gases, in two dimensions. Mpem…
Mpemba effect in an anisotropically driven granular gas
Apurba Biswas, V. V. Prasad, R. Rajesh
We demonstrate the existence, as well as determine the conditions, of a Mpemba effect - a counterintuitive phenomenon where a hotter system equilibrates faster than a cooler system…
Entropy of fully packed hard rigid rods on -dimensional hyper-cubic lattices
Deepak Dhar, R. Rajesh
We determine the asymptotic behavior of the entropy of full coverings of a square lattice by rods of size and , in the limit of large . We sh…
Hard core run and tumble particles on a one dimensional lattice
Rahul Dandekar, Subhadip Chakraborti, R. Rajesh
We study the large scale behavior of a collection of hard core run and tumble particles on a one dimensional lattice with periodic boundary conditions. Each particle has persistent…
Mpemba effect in driven granular Maxwell gases
Apurba Biswas, V . V. Prasad, O. Raz +1
Mpemba effect refers to the counterintuitive result that, when quenched to a low temperature, a system at higher temperature may equilibrate faster than one at intermediate tempera…
Asymptotic velocity distribution of a driven one dimensional binary granular Maxwell gas
Apurba Biswas, V. V. Prasad, R. Rajesh
We consider the steady states of a driven inelastic Maxwell gas consisting of two types of particles with scalar velocities. Motivated by experiments on bilayers where only one lay…
Shock propagation in the hard sphere gas in two dimensions: comparison between simulations and hydrodynamics
Jilmy P. Joy, R. Rajesh
We study the radial distribution of pressure, density, temperature and flow velocity fields at different times in a two dimensional hard sphere gas that is initially at rest and di…
Phase diagram of a system of hard cubes on the cubic lattice
N. Vigneshwar, Dipanjan Mandal, Kedar Damle +2
We study the phase diagram of a system of hard cubes on a three dimensional cubic lattice. Using Monte Carlo simulations, we show that the system exhibits four di…
Shock propagation following an intense explosion: comparison between hydrodynamics and simulations
Jilmy P. Joy, Sudhir N. Pathak, R. Rajesh
The solution for the radial distribution of pressure, density, temperature and flow velocity fields in a blast wave propagating through a medium at rest, following an intense explo…
Velocity distribution of driven granular gases
V. V. Prasad, Dibyendu Das, Sanjib Sabhapandit +1
The granular gas is a paradigm for understanding the effects of inelastic interactions in granular materials. Kinetic theory provides a general theoretical framework for describing…
Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
V. V. Prasad, R. Rajesh
We determine the asymptotic behavior of the tails of the steady state velocity distribution of a homogeneously driven granular gas comprising of particles having a scalar velocity.…
Phase transitions in a system of hard -shaped particles on the triangular lattice
Dipanjan Mandal, Trisha Nath, R. Rajesh
We study the different phases and the phase transitions in a system of -shaped particles, examples of which include Immunoglobulin-G and trinaphthylene molecules, on a triangula…
Stationary mass distribution and nonlocality in models of coalescence and shattering
Colm Connaughton, Arghya Dutta, R. Rajesh +2
We study the asymptotic properties of the steady state mass distribution for a class of collision kernels in an aggregation-shattering model in the limit of small shattering probab…