scholarly journals Fluctuation relations in non-equilibrium stationary states of Ising models

2009 ◽  
Vol 2009 (01) ◽  
pp. P01053 ◽  
Author(s):  
A Piscitelli ◽  
F Corberi ◽  
G Gonnella ◽  
A Pelizzola
2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Jason Myers ◽  
Joe Bhaseen ◽  
Rosemary J. Harris ◽  
Benjamin Doyon

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We do this by combining insights from generalised hydrodynamics with a theory of large deviations in ballistic transport. The results are applicable to a wide variety of physical systems, including the Lieb-Liniger gas and the Heisenberg chain. We confirm the predictions in non-equilibrium steady states obtained by the partitioning protocol, by comparing with Monte Carlo simulations of this protocol in the classical hard rod gas. We verify numerically that the exact results obey the correct non-equilibrium fluctuation relations with the appropriate initial conditions.


1996 ◽  
Vol 07 (03) ◽  
pp. 389-399 ◽  
Author(s):  
P. TAMAYO ◽  
R. GUPTA ◽  
F. J. ALEXANDER

We present results from a computational study of a class of 2D two-temperature non-equilibrium Ising models. In these systems the dynamics is a local competition of two equilibrium dynamics at different temperatures. We analyzed non-equilibrium versions of Metropolis, heat bath/Glauber and Swendsen-Wang dynamics and found strong evidence that some of these dynamics have the same critical exponents and belong to the same universality class as the equilibrium 2D Ising model.


2004 ◽  
Vol 130 (8) ◽  
pp. 507-510 ◽  
Author(s):  
H. Iwasaki ◽  
M. Koyano ◽  
Y. Yamamura ◽  
H. Hori

2012 ◽  
Vol 2012 (01) ◽  
pp. L01002 ◽  
Author(s):  
Cesare Nardini ◽  
Shamik Gupta ◽  
Stefano Ruffo ◽  
Thierry Dauxois ◽  
Freddy Bouchet

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