New Monte Carlo technique for studying phase transitions

Ferrenberg, Alan M.; Swendsen, Robert H.

doi:10.1103/physrevlett.61.2635

Cited by 2,577 publications

(1,840 citation statements)

References 14 publications

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“…We then repeated the simulation at ω c,N . The multi-histogram method [16] was then used to give data throughout the transition region. The simulations at ω = 3 gave almost identical results to those additionally using the peak data.…”

Section: Resultsmentioning

confidence: 99%

Collapse transition of self-avoiding trails on the square lattice

Owczarek

Prellberg

2007

Physica A: Statistical Mechanics and its Applications

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The collapse transition of an isolated polymer has been modelled by many different approaches, including lattice models based on self-avoiding walks and self-avoiding trails. In two dimensions, previous simulations of kinetic growth trails, which map to a particular temperature of interacting self-avoiding trails, showed markedly different behaviour for what was argued to be the collapse transition than that which has been verified for models based of self-avoiding walks. On the other hand, it has been argued that kinetic growth trails represent a special simulation that does not give the correct picture of the standard equilibrium model. In this work we simulate the standard equilibrium interacting self-avoiding trail model on the square lattice up to lengths over 2, 000, 000 steps and show that the results of the kinetic growth simulations are, in fact, entirely in accord with standard simulations of the temperature dependent model. In this way we verify that the collapse transition of interacting self-avoiding walks and trails are indeed in different universality classes in two dimensions.

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Section: Resultsmentioning

confidence: 99%

Collapse transition of self-avoiding trails on the square lattice

Owczarek

Prellberg

2007

Physica A: Statistical Mechanics and its Applications

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“…The absolute pressure was then obtained using the difference between the "weights" of two different thermodynamic states [62]. If the states are characterized by (µ 1 , V, β 1 ) and (µ 2 , V, β 2 ), the pressure is obtained by…”

Section: B µV T Ensemble (Gcmc)mentioning

confidence: 99%

“…The critical properties were obtained using the histogram reweighting [62] method. The histogram reweighting is a technique that allow us to obtain thermodynamic averages of a specific state of system from the trajectory of the other state of system.…”

Section: B µV T Ensemble (Gcmc)mentioning

confidence: 99%

Critical points, phase transitions and water-like anomalies for an isotropic two length scale potential with increasing attractive well

Pinheiro

Furlan

Krott

et al. 2017

Physica A: Statistical Mechanics and its Applications

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Molecular Dynamic and Monte Carlo studies are performed in a family of core-softened (CS) potential, composed by two length scales: a repulsive shoulder at short distances and the another a variable scale, that can be repulsive or strongly attractive depending on the parameters used.The density, diffusion and structural anomalous regions in the pressure versus temperature phase diagram shrink in pressure as the system becomes more attractive. The liquid-liquid transition appears as a consequence of the non monotonic behavior of the density versus pressure isotherms with the increase of the attraction well. We found that the liquid-gas phase transition is Ising-like for all the CS potentials and its critical temperature increases with the increase of the attraction. No Ising-like behavior for the liquid-liquid phase transition was detected in the Monte Carlo simulations what might be due to the presence of stable solid phases.

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“…We concentrated on the close vicinity of the transition point and applied finite-size scaling (FSS) techniques to extract the exponents and the "renormalized charges" U * 2 and U * 4 . To achieve the desired accuracy of the data in reasonable computer time we applied the single-cluster hybrid algorithm [18] to update the spins and furthermore made extensively use of the re-weighting technique [19]. Previous studies of connectivity disorder focusing mainly on 2D lattices have been realized by Monte Carlo simulations of qstate Potts models on quenched random lattices of VoronoiDelaunay type for q = 2 [20][21][22], q = 3 [23] and q = 8 [24,25].…”

Section: Introductionmentioning

confidence: 99%

Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice

Lima¹,

Plascak²

2006

Braz. J. Phys.

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We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update algorithm and re-weighting techniques. We calculate the critical temperature as well as the critical point exponents γ/ν, β/ν, α/ν, and ν. We find that, contrary of what happens to the spin-1/2 case, this random system does not belong to the same universality class as the regular two-dimensional ferromagnetic model.

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New Monte Carlo technique for studying phase transitions

Cited by 2,577 publications

References 14 publications

Collapse transition of self-avoiding trails on the square lattice

Collapse transition of self-avoiding trails on the square lattice

Critical points, phase transitions and water-like anomalies for an isotropic two length scale potential with increasing attractive well

Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice

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