scholarly journals Finite size scaling in the heterogeneous reaction 2A + B2 → 2AB

2021 ◽  
Vol 87 (2) ◽  
pp. 321-328
Author(s):  
Sabrina Hernandez Guiance ◽  
◽  
Daniel Coria ◽  
Isabel Irurzun

In the present paper we extend the exact solution previously obtained for the heterogeneous catalytic reaction 2A + B2 → 2AB on small domains, to arbitrary lattice sizes () and calculate the average number of reactive steps necessary to poison the lattice first, . We determine as a function of through Monte Carlo simulations previously contrasted with the exact solution in lattices. We show that follows a power law with , without appreciable transient behaviors, and a scale factor () dependent on the two parameters of the model, the sticking coefficient probability and the desorption probability . The dependence of on both and is determined.

2018 ◽  
Vol 175 ◽  
pp. 14003
Author(s):  
Joel Giedt ◽  
James Flamino

We obtain nonperturbative results on the sine-Gordon model using the lattice field technique. In particular, we employ the Fourier accelerated hybrid Monte Carlo algorithm for our studies. We find the critical temperature of the theory based autocorrelation time, as well as the finite size scaling of the “thickness” observable used in an earlier lattice study by Hasenbusch et al.


2011 ◽  
Vol 425 (1) ◽  
pp. 72-81 ◽  
Author(s):  
Yongyut Laosiritaworn ◽  
Kanokwan Kanchiang ◽  
Rattikorn Yimnirun

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