8 papers
Stochastic systems with Bose-Hubbard interactions: Effects of bias on particles on a random comb
Swastik Majumder, Mustansir Barma
We study stochastic transport of interacting particles on a disordered network described by the random comb geometry. The model is defined on a one-dimensional backbone from which…
Stochastic systems with Bose-Hubbard interactions: Effects of bias on particles on a 1D lattice
Swastik Majumder, Mustansir Barma
Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investi…
Two fluctuating interfaces with sticking interactions: Invariant measures and dynamics
Samvit Mahapatra, Malay Bandyopadhyay, Mustansir Barma
We introduce and study a non-equilibrium stochastic model of two fluctuating interfaces which interact through short-range attractive interactions at their points of contact. Begin…
Fluctuation-dominated phase ordering in the one dimensional Truncated Inverse Distance Square Ising (TIDSI) model
Souvik Sadhukhan, Mustansir Barma, Saroj Kumar Nandi
Many physical systems, including some examples of active matter, granular assemblies, and biological systems, show fluctuation-dominated phase ordering (FDPO), where macroscopic fl…
Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model
Shilpa Prakash, Mustansir Barma, Kabir Ramola
We study the exact fluctuating hydrodynamics of the scaled Light-Heavy model (sLH), in which two species of particles (light and heavy) interact with a fluctuating surface. This mo…
Condensate-induced organization of the mass profile and emergent power laws in the Takayasu aggregation model
Reya Negi, Rajiv G Pereira, Mustansir Barma
Large-mass condensates, which coexist with a power-law-decaying distribution in the one-dimensional Takayasu model of mass aggregation with input, were recently found in numerical…