114 citations · 351 across the 16 of their papers we have counts for
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Two-dimensional critical systems with mixed boundary conditions: Exact Ising results from conformal invariance and boundary-operator expansions
T. W. Burkhardt, E. Eisenriegler
With conformal-invariance methods, Burkhardt, Guim, and Xue studied the critical Ising model, defined on the upper half plane with different boundary conditions and o…
Tagged-Particle Statistics in Single-File Motion with Random-Acceleration and Langevin Dynamics
Theodore W. Burkhardt
In the simplest model of single-file diffusion, point particles wander on a segment of the axis of length , with hard core interactions, which prevent passing, and with…
First Passage of a Randomly Accelerated Particle
Theodore W. Burkhardt
In the random acceleration process, a point particle is accelerated according to , where the right hand side represents Gaussian white noise with zero mean. We begin…
Occupation time statistics of the random acceleration model
Hermann Joel Ouandji Boutcheng, Thomas Bouetou Bouetou, Theodore W. Burkhardt +3
The random acceleration model is one of the simplest non-Markovian stochastic systems and has been widely studied in connection with applications in physics and mathematics. Howeve…
Casimir interaction of rod-like particles in a two-dimensional critical system
E. Eisenriegler, T. W. Burkhardt
We consider the fluctuation-induced interaction of two thin, rod-like particles or "needles" immersed in a two-dimensional critical fluid of Ising symmetry right at the critical po…
First-passage and extreme-value statistics of a particle subject to a constant force plus a random force
Theodore W. Burkhardt
We consider a particle which moves on the x axis and is subject to a constant force, such as gravity, plus a random force in the form of Gaussian white noise. We analyze the statis…