2 00 1 Phase transition for the frog model ∗
نویسندگان
چکیده
We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1 − p. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for Z d and regular trees.
منابع مشابه
1 Phase transition for the frog model ∗
We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1 − p. When an active particle hits a sleeping particle, the latter becomes active. Phase transit...
متن کاملar X iv : n uc l - th / 0 30 70 57 v 1 1 3 Ju l 2 00 3 SU ( 2 ) CHIRAL SIGMA MODEL STUDY OF PHASE TRANSITION IN HYBRID STARS
We use a modified SU(2) chiral sigma model to study nuclear matter component and simple bag model for quark matter constituting a neutron star. We also study the phase transition of nuclear matter to quark matter with the mixed phase characterized by two conserved charges in the interior of highly dense neutron stars. Stable solutions of Tolman-Oppenheimer-Volkoff equations representing hybrid ...
متن کامل- qc / 0 00 70 54 v 1 2 1 Ju l 2 00 0 CU - TP - 934 CCNY - HEP - 00 / 1 March 2000 The Earliest Phase Transition ?
The question of a phase transition in exiting the Planck epoch of the early universe is addressed. An order parameter is proposed to help decide the issue, and estimates are made concerning its behavior. Our analysis is suggestive that a phase transition occurred.
متن کامل- th / 0 70 31 01 v 1 3 0 M ar 2 00 7 Fission and Nuclear Liquid - Gas Phase Transition
The temperature dependence of the liquid-drop fission barrier is considered, the critical temperature for the liquid-gas phase transition in nuclear matter being a parameter. Experimental and calculated data on the fission probability are compared for highly excited 188 Os. The calculations have been made in the framework of the statistical model. It is concluded that the critical temperature f...
متن کاملar X iv : h ep - p h / 04 11 35 2 v 1 2 7 N ov 2 00 4 Electroweak phase transition in an extension of the standard model with a real Higgs singlet
The Higgs potential of the standard model with an additional real Higgs singlet is studied in order to examine if it may allow the strongly first order electroweak phase transition. It is found that there are parameter values for which this model at the one-loop level with finite temperature effect may allow the desired phase transition. Those parameter values also predict that the masses of th...
متن کامل