scholarly journals Bounds on the artificial phase transition for perfect simulation of hard core Gibbs processes

2012 ◽  
Vol 5 (3) ◽  
pp. 247-255
Author(s):  
Mark Huber ◽  
Elise Villella ◽  
Daniel Rozenfeld ◽  
Jason Xu
2018 ◽  
Vol 60 (11) ◽  
pp. 2105
Author(s):  
Е.В. Васинович ◽  
А.С. Москвин ◽  
Ю.Д. Панов

Abstract —A 2D anisotropic system of S = 1 centers of the charge triplet type in systems with variable valence or “semi-hard-core” boson systems with a limitation for the occupation of lattice sites n = 0, 1, 2 is studied in the framework of the pseudospin formalism. Assuming that the ground state is a quantum paramagnet, the pseudo-spin wave spectrum and also the conditions of the condensation of pseudomagnons with a phase transition to a superconducting state have been found using the Schwinger boson method.


2012 ◽  
Vol 85 (1) ◽  
Author(s):  
Kai He ◽  
Indubala I. Satija ◽  
Charles W. Clark ◽  
Ana Maria Rey ◽  
Marcos Rigol

2013 ◽  
Vol 34 (5) ◽  
pp. 1567-1586 ◽  
Author(s):  
SANDRO GALLO ◽  
DANIEL Y. TAKAHASHI

AbstractWe prove that uniqueness of the stationary chain, or equivalently, of the$g$-measure, compatible with an attractive regular probability kernel is equivalent to either one of the following two assertions for this chain: (1) it is a finitary coding of an independent and identically distributed (i.i.d.) process with countable alphabet; (2) the concentration of measure holds at exponential rate. We show in particular that if a stationary chain is uniquely defined by a kernel that is continuous and attractive, then this chain can be sampled using a coupling-from-the-past algorithm. For the original Bramson–Kalikow model we further prove that there exists a unique compatible chain if and only if the chain is a finitary coding of a finite alphabet i.i.d. process. Finally, we obtain some partial results on conditions for phase transition for general chains of infinite order.


2004 ◽  
Vol 18 (14) ◽  
pp. 2057-2069 ◽  
Author(s):  
JIANXIANG TIAN ◽  
YUANXING GUI

In this paper, an argon-like canonical system is studied. We introduce five hypothesis to deal with the total potential of the system. Then the balanced liquid–gas coexistence phenomenon is analyzed. Good equations of state and phase diagram are given.


1991 ◽  
Vol 136 (1) ◽  
pp. 43-52 ◽  
Author(s):  
Marek Gorzelańczyk
Keyword(s):  

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