39 citations · 86 across the 12 of their papers we have counts for
6 papers · 1 filter
Anomalous transport in non-integrable classical field theories
Matija Koterle, Tomaz Prosen, Tianci Zhou
Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics ge…
Ergodic behaviors in reversible 3-state cellular automata
Rustem Sharipov, Matija Koterle, Sašo Grozdanov +1
Classical cellular automata represent a class of explicit discrete spacetime lattice models in which complex large-scale phenomena emerge from simple deterministic rules. With the…
Fluctuations of stochastic charged cellular automata
Žiga Krajnik, Katja Klobas, Bruno Bertini +1
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon c…
Integrable fishnet circuits and Brownian solitons
Žiga Krajnik, Enej Ilievski, Tomaž Prosen +2
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamilton…
Anisotropic Landau-Lifshitz Model in Discrete Space-Time
Žiga Krajnik, Enej Ilievski, Tomaž Prosen +1
We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet wit…
Connected correlations, fluctuations and current of magnetization in the steady state of boundary driven XXZ spin chains
Berislav Buca, Tomaz Prosen
We show how to exploit algebraic relations of operators (or matrices) which constitute the non-equilibrium matrix product steady state of a boundary driven quantum spin chain to fi…