104 citations · 536 across the 35 of their papers we have counts for
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The boundary-driven multispecies harmonic process
Francesco Casini, Rouven Frassek, Cristian Giardinà
We introduce the multispecies version of the harmonic process on a one-dimensional chain in contact with boundary reservoirs. This process is a continuous-time Markov chain where e…
Intertwining Markov Processes via Matrix Product Operators
Rouven Frassek, Jan de Gier, Jimin Li +1
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement…
Steady state representations for the harmonic process
Rouven Frassek
In this note we discuss how the matrix product solution for the steady state of the harmonic process is obtained from the solutions already known in the literature, i.e. the closed…
Duality for the multispecies stirring process with open boundaries
Francesco Casini, Rouven Frassek, Cristian Giardinà
We study the stirring process with species on a generic graph with reservoirs. The multispecies stirring process generalizes the symmetric exclusion proce…
The steady state of the boundary-driven multiparticle asymmetric diffusion model
Rouven Frassek, István M. Szécsényi
We consider the multiparticle asymmetric diffusion model (MADM) introduced by Sasamoto and Wadati with integrability preserving reservoirs at the boundaries. In contrast to the ope…
Orthosymplectic superoscillator Lax matrices
Rouven Frassek, Alexander Tsymbaliuk
We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic -matrix, generalizing orthogonal and symplectic oscilla…