caa a22 4500 445391936 CHVBK 20180317143049.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0135-9 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0135-9 Conrady Florian Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada aut Space as a Low-Temperature Regime of Graphs [Elektronische Daten] [Florian Conrady] I define a statistical model of graphs in which 2-dimensional spaces arise at low temperature. The configurations are given by graphs with a fixed number of edges and the Hamiltonian is a simple, local function of the graphs. Simulations show that there is a transition between a low-temperature regime in which the graphs form triangulations of 2-dimensional surfaces and a high-temperature regime, where the surfaces disappear. Iuse data for the specific heat and other observables to discuss whether this is a phase transition. The surface states are analyzed with regard to topology and defects. Springer Science+Business Media, LLC, 2011 Graphs nationallicence Networks nationallicence Quantum gravity nationallicence Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 898-917 0022-4715 142:4<898 2011 142 10955 https://doi.org/10.1007/s10955-011-0135-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0135-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Conrady Florian Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 898-917 0022-4715 142:4<898 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer