activity
20032025
most citedExact energy spectrum of a two-temperature kinetic Ising model

7 citations · 12 across the 6 of their papers we have counts for

collaborators

6 papers

physics.ed-ph2025

Introducing Quantum Computing into Statistical Physics: Random Walks and the Ising Model with Qiskit

Zihan Li, Dan A. Mazilu, Irina Mazilu

Quantum computing offers a powerful new perspective on probabilistic and collective behaviors traditionally taught in statistical physics. This paper presents two classroom-ready m…

math-ph2013

The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation

C. M. da Fonseca, Dan A. Mazilu, Irina Mazilu +1

A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester-Kac type matrix. The ei…

cond-mat.stat-mech2011★ 3 cited

Stochastic epidemic-type model with enhanced connectivity: exact solution

H. Thomas Williams, Irina Mazilu, Dan Mazilu

We present an exact analytical solution to a one-dimensional model of the Susceptible-Infected-Recovered (SIR) epidemic type, with infection rates dependent on nearest-neighbor occ…

cond-mat.stat-mech2009★ 7 cited

Exact energy spectrum of a two-temperature kinetic Ising model

I. Mazilu, H. T. Williams

The exact energy spectrum is developed for a two temperature kinetic Ising spin chain, and its dual reaction diffusion system with spatially alternating pair annihilation and creat…

cond-mat.stat-mech2008★ 2 cited

Non-equilibrium statistical mechanics: a solvable model

I. Mazilu, H. T. Williams

A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concep…

cond-mat.stat-mech2003

High temperature expansion for a driven bilayer system

I. Mazilu, B. Schmittmann

Based directly on the microscopic lattice dynamics, a simple high temperature expansion can be devised for non-equilibrium steady states. We apply this technique to investigate the…