127 citations · 533 across the 33 of their papers we have counts for
33 papers
Note on Boltzmann's H-Theorem and Detailed Balance Dynamics
Prabodh Shukla
The Boltzmann H-theorem states that entropy of an ensemble of thermodynamic states increases until all states become equally probable. The evolution randomly picks one of the state…
Equilibrium via multi-spin-flip Glauber dynamics in Ising Model
Diana Thongjaomayum, Prabodh Shukla
Notwithstanding great strides that statistical mechanics has made in recent decades, an analytic solution of arguably the simplest model of relaxation dynamics, the Ising model in…
Dependence of persistence exponent on initial state
Prabodh Shukla
We examine persistence in one dimensional Ising model under zero temperature Glauber dynamics for random initial states with unequal fraction of up and down spins. We find the pers…
Surprising variants of Cauchy's formula for mean chord length
Prabodh Shukla, Diana Thongjaomayum
We examine isotropic and anisotropic random walks which begin on the surface of linear (), square (), or cubic () lattices and end upon encounte…
Critical hysteresis on dilute triangular lattice
Diana Thongjaomayum, Prabodh Shukla
Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice has been studied earlier with site dilution on one sublattice. It was r…
Hysteresis in the zero-temperature random field Ising model on directed random graphs
Prabodh Shukla
We use zero-temperature Glauber dynamics to study hysteresis in the random-field Ising model on directed random graphs. The critical behavior of the model depends on the connectivi…