42 citations · 70 across the 7 of their papers we have counts for
5 papers · 1 filter
Smoothing of sandpile surfaces after intermittent and continuous avalanches: three models in search of an experiment
Parthapratim Biswas, Arnab Majumdar, Anita Mehta +1
We present and analyse in this paper three models of coupled continuum equations all united by a common theme: the intuitive notion that sandpile surfaces are left smoother by the…
Some properties of a class of coupled Langevin equations
Parthapratim Biswas, Arnab Majumdar, Anita Mehta +1
We present a set of coupled continuum equationswith a specific coupling between mobile grains and clusters on the surface of a sandpile. The equations are analysed self-con…
Distributions of Time Headways in Particle-hopping Models of Vehicular Traffic
Kingshuk Ghosh, Arnab Majumdar, Debashish Chowdhury
We report the first analytical calculation of the distribution of the time headways in some special cases of a particle-hopping model of vehicular traffic on idealized single-lane…
In search of smooth sandpiles: the Edwards-Wilkinson equation with flow
Parthapratim Biswas, Arnab Majumdar, Anita Mehta +1
The well-known Edwards-Wilkinson equation with a flow term added exhibits a smoothing fixed point in addition to the normal EW fixed point. Based on this, we present a model of san…
Particle-hopping Models of Vehicular Traffic: Distributions of Distance Headways and Distance Between Jams
Debashish Chowdhury, Kingshuk Ghosh, Arnab Majumdar +2
We calculate the distribution of the distance headways (i.e., the instantaneous gap between successive vehicles) as well as the distribution of instantaneous distance between succe…