TY - GEN
T1 - Heat diffusion modelling with random walks on triangular lattices
AU - Frannek, Lukas
AU - Hayakawa, Tomohisa
AU - Cetinkaya, Ahmet
PY - 2013
Y1 - 2013
N2 - In order to approximate heat diffusion in two dimensions, we view diffusion processes as the random motion of particles and model the behavior of each particle with a continuous-time Markov chain. The infinitesimal generator of each Markov chain is characterized by the distances between lattice points imposed on a given two-dimensional surface. We derive requirements for the mean and the covariance matrix of a Markov chain and present simulations to demonstrate how a large number of Markov chains behave in the proposed framework on an exemplary lattice.
AB - In order to approximate heat diffusion in two dimensions, we view diffusion processes as the random motion of particles and model the behavior of each particle with a continuous-time Markov chain. The infinitesimal generator of each Markov chain is characterized by the distances between lattice points imposed on a given two-dimensional surface. We derive requirements for the mean and the covariance matrix of a Markov chain and present simulations to demonstrate how a large number of Markov chains behave in the proposed framework on an exemplary lattice.
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U2 - 10.1109/acc.2013.6579986
DO - 10.1109/acc.2013.6579986
M3 - Conference contribution
AN - SCOPUS:84883528418
SN - 9781479901777
T3 - Proceedings of the American Control Conference
SP - 1118
EP - 1123
BT - 2013 American Control Conference, ACC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2013 1st American Control Conference, ACC 2013
Y2 - 17 June 2013 through 19 June 2013
ER -