First-Order Phase Transition in a Modified Ziff-Gulari-Barshad Model with Self-oscillating Reactant Coverages

Sinha, Indrajit; Mukherjee, A. K.

doi:10.1007/s10955-011-0414-5

Cited by 11 publications

(13 citation statements)

References 44 publications

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“…Sharp jumps in σ z , σ x , and S v−N are observed, similar to the behavior shown in Fig. 6 at arguments on the first-order phase transition lead to a finitesize scaling relation [40,43,44] …”

Section: Discussionsupporting

confidence: 77%

Ground-state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling

et al. 2014

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By employing a variational approach, the density matrix renormalization group (DMRG), the exact diagonalization, and symmetry and mean-field analyses, the ground-state properties of the two-bath spin-boson model with simultaneous diagonal and off-diagonal coupling are systematically studied in the sub-Ohmic regime. A quantum phase transition from a doubly degenerate "localized phase" to the other doubly degenerate "delocalized phase" is uncovered. Via the multi-D 1 Ansatz as the variational wave function, transition points are determined accurately, consistent with the results from DMRG and exact diagonalization. An effective spatial dimension d eff = 2.37(6) is then estimated, which is found to be compatible with the mean-field prediction. Furthermore, the quantum phase transition is inferred to be of first order for the baths described by a continuous spectral density function. In the single-mode case, however, the transition is softened.

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Section: Discussionsupporting

confidence: 77%

Ground-state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling

et al. 2014

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“…For equilibrium systems, the maximum of χ and other quantities scale with the system volume and its position α L obeys the asymptotic relation α L = α 0 − c/L 2 [24,25], being α 0 the transition point in the thermodynamic limit and c a constant. Recent papers [18,26,20,21] have shown that similar scaling is verified for nonequilibrium phase transitions. Alternatively, the transition point can also be estimated as the value of α L in which the two peaks of the probability distribution have equal weights (area) [26,21].…”

Section: Numerical Resultsmentioning

confidence: 62%

“…Recent papers [18,26,20,21] have shown that similar scaling is verified for nonequilibrium phase transitions. Alternatively, the transition point can also be estimated as the value of α L in which the two peaks of the probability distribution have equal weights (area) [26,21].…”

Section: Numerical Resultsmentioning

confidence: 62%

Influence of competition in minimal systems with discontinuous absorbing phase transitions

Pianegonda

Fiore

2016

Physica A: Statistical Mechanics and its Applications

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Contact processes (CP's) with particle creation requiring a minimal neighborhood (restrictive or threshold CP's) present a novel sort of discontinuous absorbing transitions, that revealed itself robust under the inclusion of different ingredients, such as distinct lattice topologies, particle annihilations and diffusion. Here, we tackle on the influence of competition between restrictive and standard dynamics (that describes the usual CP and a continuous DP transition is presented). Systems have been studied via mean-field theory (MFT) and numerical simulations. Results show partial contrast between MFT and numerical results. While the former predicts that considerable competition rates are required to shift the phase transition, the latter reveals the change occurs for rather limited (small) fractions. Thus, unlike previous ingredients (such as diffusion and others), limited competitive rates suppress the phase coexistence.

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“…Also, these considerations provide an idea about the current place of such minimalistic models (considered as sub-networks of more involved realistic reaction networks) in the spectrum of existing approaches as a complement to ever developing experimental and first principle studies. Recent examples include surface oxide models [31,36], models of CO oxidation accompanied by surface reconstruction [30,32,34], in the presence of surface impurities [17] and gas phase impurities [1,2], distinguishing hollow and bridge surface sites [24].…”

Section: Introductionmentioning

confidence: 99%

Reversible Reshaping of Supported Metal Nanoislands Under Reaction Conditions in a Minimalistic Lattice Model

Коробов

2016

J Stat Phys

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The shape of (nano)islands is among significant factors of the catalytic activity of supported catalysts. A lattice model of the reshaping under reaction conditions is suggested and studied by means of kinetic Monte Carlo simulations. It is rooted in experimental findings and is simplified as far as possible to still demonstrate reversible compact-ramified shape transitions. This simple model with complex behavior demonstrates several reshaping regimes and is considered as a possible sub-network of more realistic networks of heterogeneous catalytic reactions.

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First-Order Phase Transition in a Modified Ziff-Gulari-Barshad Model with Self-oscillating Reactant Coverages

Cited by 11 publications

References 44 publications

Ground-state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling

Ground-state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling

Influence of competition in minimal systems with discontinuous absorbing phase transitions

Reversible Reshaping of Supported Metal Nanoislands Under Reaction Conditions in a Minimalistic Lattice Model

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