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Preprint Aug 2026

Critical behavior and crossover scaling in the Light-Heavy model

The Light-Heavy (LH) model involves two species of particles (light and heavy) coupled with a fluctuating surface (described by tilts). The dynamics include the inherent diffusion of the particles (or tilts) as well as the drive provided by the tilts (or particles). When the two are of similar magnitude, the system lie...

Shilpa Prakash, M. Barma, K. Ramola · 1 citation
Preprint Oct 2026

Traveling waves, phase separation and pattern formation in the active stepping stone model

Selective advantage leads to the proliferation of a species into an ecosystem. On the other hand, self-propulsion can lead to dynamic clustering of individuals. To analyze the intricate effects produced by such competing processes, we introduce a minimal model for a proliferating active population, where run-and-tumble...

R. Bhutia, P. Perlekar, K. Ramola · 0 citations
Preprint Sep 2026

Continuously varying exponents in the distribution of waiting times in the symmetric exclusion process on a percolation cluster

We study the waiting-time distribution of hard-core interacting particles in the symmetric exclusion process on one- and two-dimensional lattices with side branches attached to each lattice site in the steady state. We use numerical simulations together with an approximate analytical treatment of particles trapped in s...

Arpan Chatterjee, K. Ramola, D. Dhar · 0 citations
Preprint Jul 2026

Fermions on a 1D lattice: localized sources and sinks with dephasing

We study a general one-dimensional spinless fermionic system subject to a localized source, sink, and bulk dephasing. Within the Lindblad framework, we compute the time evolution of the density profile and spatial correlation functions. We find that the presence of bulk dephasing suppresses certain coherent quantum fea...

Elka Bhattacharya, Sushant Saryal, Soumya Ghosh et al. · 0 citations

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