Critical phenomena at perfect and non-perfect surfaces

Pleimling, Michel

doi:10.1088/0305-4470/37/19/r01

Cited by 100 publications

(139 citation statements)

References 280 publications

(400 reference statements)

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“…A slight shift in the phase transition lines, especially at high temperatures and low fields, is observed when changing the number of layers in the film. This shift of the critical temperature of a film as a function of thickness is of course expected and has been studied extensively, both theoretically and experimentally, in the absence of external magnetic fields (see, for example, [49][50][51][52][53]). …”

Section: B Thermal Quantitiesmentioning

confidence: 86%

Ising metamagnets in thin film geometry: Equilibrium properties

Chou

Pleimling

2011

Phys. Rev. B

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Artificial antiferromagnets and synthetic metamagnets have attracted much attention recently due to their potential for many different applications. Under some simplifying assumptions these systems can be modeled by thin Ising metamagnetic films. In this paper we study, using both the Wang/Landau scheme and importance sampling Monte Carlo simulations, the equilibrium properties of these films. On the one hand we discuss the microcanonical density of states and its prominent features. On the other we analyze canonically various global and layer quantities. We obtain the phase diagram of thin Ising metamagnets as a function of temperature and external magnetic field. Whereas the phase diagram of the bulk system only exhibits one phase transition between the antiferromagnetic and paramagnetic phases, the phase diagram of thin Ising metamagnets includes an additional intermediate phase where one of the surface layers has aligned itself with the direction of the applied magnetic field. This additional phase transition is discontinuous and ends in a critical end point. Consequently, it is possible to gradually go from the antiferromagnetic phase to the intermediate phase without passing through a phase transition.

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Section: B Thermal Quantitiesmentioning

confidence: 86%

Ising metamagnets in thin film geometry: Equilibrium properties

Chou

Pleimling

2011

Phys. Rev. B

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“…Here we mention some issues which in our opinion deserve further investigation. It is well known that surfaces affect locally both the static and dynamic critical behaviour [24,31] and therefore we expect that also non-equilibrium properties such as the scaling behavior of two-time response and correlation functions after a quench are accordingly modified. In spite of some available Monte Carlo data and preliminary analyses [11,32], a detailed and quantitative study within the field-theoretical approach is still lacking.…”

Section: Perspectivesmentioning

confidence: 99%

Relaxation phenomena at criticality

Gambassi

2008

Eur. Phys. J. B

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Abstract. The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the thermodynamic control parameters. The non-equilibrium evolution following this change displays some of the features typically observed in glassy materials, such as ageing, and it can be monitored via dynamic susceptibilities and correlation functions of the order parameter, the scaling behaviour of which is characterized by universal exponents, scaling functions, and amplitude ratios. This universality allows one to calculate these quantities in suitable simplified models and field-theoretical methods are a natural and viable approach for this analysis. In addition, if a statistical system is spatially confined, universal Casimir-like forces acting on the confining surfaces emerge and they build up in time when the temperature of the system is tuned to its critical value. We review here some of the theoretical results that have been obtained in recent years for universal quantities, such as the fluctuation-dissipation ratio, associated with the non-equilibrium critical dynamics, with particular focus on the Ising model with Glauber dynamics in the bulk. The non-equilibrium dynamics of the Casimir force acting in a film is discussed within the Gaussian model.

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“…[15][16][17][18] In fact, one even encounters different surface universality classes for a given bulk universality class, depending on the value of the surface couplings or on the existence of a surface field. Looking at the dynamics, it has to be noted that in the case of purely diffusive dynamics the dynamical exponent z has the same universal value close to the surface as inside the bulk.…”

Section: Introductionmentioning

confidence: 99%

Local aging phenomena close to magnetic surfaces

Baumann

Pleimling

2007

Phys. Rev. B

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Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. In addition to solving exactly the semi-infinite Ising model in the limit of large dimensions, we also present results of an extensive numerical study of the nonequilibrium dynamical behavior of the two-dimensional semi-infinite Ising model undergoing coarsening. The studied models reveal a simple aging behavior where some of the nonequilibrium surface exponents take on values that differ from their bulk counterparts. For the two-dimensional semi-infinite Ising model we find that the exponent b 1 that describes the scaling behavior of the surface autocorrelation vanishes. These simulations also reveal the existence of strong finite-time corrections that to some extent mask the leading scaling behavior of the studied two-time quantities.

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Critical phenomena at perfect and non-perfect surfaces

Cited by 100 publications

References 280 publications

Ising metamagnets in thin film geometry: Equilibrium properties

Ising metamagnets in thin film geometry: Equilibrium properties

Relaxation phenomena at criticality

Local aging phenomena close to magnetic surfaces

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