6 papers
Towards a Matrix Product Ansatz in Two Dimensions
Chandraniva Guha Ray, Aikya Banerjee, P. K. Mohanty
Matrix product ansatz (MPA) is a powerful framework for constructing exact steady state weights of one dimensional non-equilibrium stochastic processes; but its generalization to h…
Parity-Dependent Scaling of Velocity-Gradient Correlations in Turbulence
Anwesha Dey, Ritwik Mukherjee, Aikya Banerjee +1
We investigate two-point velocity-gradient correlation functions in homogeneous isotropic turbulence using exact relations and direct numerical simulations. The second-order gradie…
Intermittent fluctuations determine the nature of chaos in turbulence
Aikya Banerjee, Ritwik Mukherjee, Sugan Durai Murugan +2
We adapt recent ideas for many-body chaos in nonlinear, Hamiltonian fluids [Murugan \textit{et al.}, Phys. Rev. Lett. 127, 124501 (2021)] to revisit the question of the Reynolds nu…
Turbulent magnetic decay controlled by two conserved quantities
Axel Brandenburg, Aikya Banerjee
The decay of a turbulent magnetic field is slower with helicity than without. Furthermore, the magnetic correlation length grows faster for a helical than a nonhelical field. Both…
Site-percolation transition of run-and-tumble particles
Soumya K. Saha, Aikya Banerjee, P. K. Mohanty
We study percolation transition of run and tumble particles (RTPs) on a two dimensional square lattice. RTPs in these models run to the nearest neighbour along their internal orien…
Geometric percolation of spins and spin-dipoles in Ashkin-Teller model
Aikya Banerjee, Priyajit Jana, P. K. Mohanty
Ashkin-Teller model is a two-layer lattice model where spins in each layer interact ferromagnetically with strength , and the spin-dipoles (product of spins) interact with neigh…