%0 Journal Article %1 Dhar1985Classical %A Dhar, Deepak %A Ramaswamy, Ramakrishna %D 1985 %I American Physical Society %J Physical Review Letters %K network\_growth, percolation lattice-models tree-graphs diffusion %N 13 %P 1346--1349 %R 10.1103/physrevlett.54.1346 %T Classical Diffusion on Eden Trees %U http://dx.doi.org/10.1103/physrevlett.54.1346 %V 54 %X We study an aggregation process which gives rise to compact clusters with no loops. A generalization of the node-counting theorem, applicable to such branched graphs (trees), is proved. This is used to determine the spectral dimension of these clusters on square and cubic embedding lattices by Monte Carlo simulations. The results are explained in terms of the geometric structure of these trees.

@article{Dhar1985Classical, abstract = {{We study an aggregation process which gives rise to compact clusters with no loops. A generalization of the node-counting theorem, applicable to such branched graphs (trees), is proved. This is used to determine the spectral dimension of these clusters on square and cubic embedding lattices by Monte Carlo simulations. The results are explained in terms of the geometric structure of these trees.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Dhar, Deepak and Ramaswamy, Ramakrishna}, biburl = {https://www.bibsonomy.org/bibtex/283755a0b7ac7330db90b5aab22bc7611/nonancourt}, citeulike-article-id = {6940395}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.54.1346}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v54/i13/p1346}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v54/i13/p1346}, doi = {10.1103/physrevlett.54.1346}, interhash = {0086e729720b90d590d9e4d06cb6225b}, intrahash = {83755a0b7ac7330db90b5aab22bc7611}, journal = {Physical Review Letters}, keywords = {network\_growth, percolation lattice-models tree-graphs diffusion}, month = apr, number = 13, pages = {1346--1349}, posted-at = {2010-04-01 15:43:25}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:17:27.000+0200}, title = {{Classical Diffusion on Eden Trees}}, url = {http://dx.doi.org/10.1103/physrevlett.54.1346}, volume = 54, year = 1985 }