Erratum: Surface Criticality at a Dynamic Phase Transition [Phys. Rev. Lett.<b>109</b>, 175703 (2012)]

Park, Hyunhang; Pleimling, Michel

doi:10.1103/physrevlett.110.239903

Cited by 40 publications

(68 citation statements)

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“…Nowadays, these types of nonequilibrium systems are in the center of scientists because they have exotic, unusual and interesting behaviors. For example, the universality classes of the Ising model and its variations under a time dependent driving field are different from its equilibrium counterparts [33][34][35] . It is possible to emphasize that nonequilibrium phase transitions originate due to a competition between time scales of the relaxation time of the system and oscillating period of the external applied field.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium dynamics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic system with a time dependent oscillating magnetic field source

Vatansever

Polat

2015

Journal of Magnetism and Magnetic Materials

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Nonequilibrium phase transition properties of a mixed Ising ferrimagnetic model consisting of spin-1/2 and spin-3/2 on a square lattice under the existence of a time dependent oscillating magnetic field have been investigated by making use of Monte Carlo simulations with single-spin flip Metropolis algorithm. A complete picture of dynamic phase boundary and magnetization profiles have been illustrated and the conditions of a dynamic compensation behavior have been discussed in detail. According to our simulation results, the considered system does not point out a dynamic compensation behavior, when it only includes the nearest-neighbor interaction, single-ion anisotropy and an oscillating magnetic field source. As the next-nearest-neighbor interaction between the spins-1/2 takes into account and exceeds a characteristic value which sensitively depends upon values of single-ion anisotropy and only of amplitude of external magnetic field, a dynamic compensation behavior occurs in the system. Finally, it is reported that it has not been found any evidence of dynamically first-order phase transition between dynamically ordered and disordered phases, which conflicts with the recently published molecular field investigation, for a wide range of selected system parameters.

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Section: Introductionmentioning

confidence: 99%

Nonequilibrium dynamics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic system with a time dependent oscillating magnetic field source

Vatansever

Polat

2015

Journal of Magnetism and Magnetic Materials

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“…This fact is further supported by some experimental findings like-(i) detection of dynamic phase transition in the ultra-thin Co film on Cu(001) system by surface magneto-optic Kerr effect [9,10], (ii) direct excitation of propagating spin waves by focussed ultra short optical pulse [11], (iii) the transient behaviour of dynamically ordered phase in uniaxial cobalt film [12] etc. The surface and bulk transition [13] are found to be in different universality class in the dynamic transition of Ising ferromagnet driven by oscillating magnetic field. The surface critical behaviour is observed to differ from that of the bulk in these studies [13].…”

Section: Introductionmentioning

confidence: 99%

“…The surface and bulk transition [13] are found to be in different universality class in the dynamic transition of Ising ferromagnet driven by oscillating magnetic field. The surface critical behaviour is observed to differ from that of the bulk in these studies [13].…”

Section: Introductionmentioning

confidence: 99%

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Halder¹,

Acharyya²

2016

Journal of Magnetism and Magnetic Materials

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The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the direction x. We have detected two main dynamical phases namely, pinned and oscillating spin clusters. Depending on the value of field amplitude the system is found to undergo a phase transition from oscillating spin cluster to pinned as the system is cooled down. The time averaged magnetisation over a full cycle of magnetic field oscillations is defined as the dynamic order parameter. The transition is detected by studying the temperature dependences of the variance of the dynamic order parameter, the derivative of the dynamic order parameter and the dynamic specific heat. The dependence of the transition temperature on the magnetic field amplitude and on the wavelength of the magnetic field wave is studied at a single frequency. A comprehensive phase boundary is drawn in the plane described by the temperature and field amplitude for two different wavelengths of the magnetic wave. The variation of instantaneous line magnetisation during a period of magnetic field oscillation for standing wave mode is compared to those for the propagating wave mode. Also the probability that a spin at any site, flips, is calculated. The above mentioned variations and the probability of spin flip clearly distinguish between the dynamical phases formed by propagating magnetic wave and by standing magnetic wave in an Ising ferromagnet.

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“…3. At all rates of growth the thermodynamically stable assembly is mostly blue, and so the observed mixing reflects the existence of a nonequilibrium phase transition [28].…”

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confidence: 99%

Self-Assembly at a Nonequilibrium Critical Point

2014

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We use analytic theory and computer simulation to study patterns formed during the growth of two-component assemblies in two and three dimensions. We show that these patterns undergo a nonequilibrium phase transition, at a particular growth rate, between mixed and demixed arrangements of component types. This finding suggests that principles of nonequilibrium statistical mechanics can be used to predict the outcome of multicomponent self-assembly, and suggests an experimental route to the self-assembly of multicomponent structures of a qualitatively defined nature. DOI: 10.1103/PhysRevLett.112.155504 PACS numbers: 81.16.Dn, 05.20.-y, 81.16.Fg Nature builds its materials using multiple component types. The properties of these materials depend on the properties of their components, and on how components are distributed spatially: the exciton transfer properties of a light-harvesting complex, for instance, depend on the way that its constituent proteins cluster [1]. Achieving similar mesoscale spatial control with many synthetic selfassembled materials [2] is made difficult by the fact that the self-assembly of multicomponent systems generally happens "far" from equilibrium, where we possess few predictive theoretical tools. Although self-assembly is a nonequilibrium process, much of our understanding of it is based upon a physical picture that assumes dynamics to play no role except to convey a system along the "easiest" pathways on its free-energy landscape [3]. This "nearequilibrium" or "quasiequilibrium" assumption tends to hold, for instance, for simple one-component systems under mild nonequilibrium conditions [4][5][6][7][8]. It fails when there exist time scales within a given self-assembly process that exceed the time of the experiment or computer simulation. For one-component systems, long time scales can emerge if bonds between particles are strong, and so break infrequently, which can happen when subjected to "harsh" nonequilibrium conditions (e.g., conditions of deep supercooling). Binding errors made as components associate can then fail to anneal as structures grow, and the result is a kinetically trapped structure rather than an object corresponding to a favored position on the free-energy landscape [9][10][11][12].The self-assembly of multicomponent solid structures, however, is also affected by kinetic traps that emerge even under mild nonequilibrium conditions. The long time scale responsible for such trapping is the slow interchange of component types within solid structures [13][14][15][16][17][18][19][20][21][22][23]. Consider Fig. 1(a), which shows in cartoon form a fluid of two types of mutually attractive particles (call them "red" and "blue"), present in equal number, self-assembling into a solid structure. The equilibrium pattern of red and blue within this structure-shown in the figure as demixed red and blue domains-is determined only by the particles' mutual interactions. But achieving this equilibrium pattern via self-assembly requires that particle types interchange their positio...

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Erratum: Surface Criticality at a Dynamic Phase Transition [Phys. Rev. Lett.109, 175703 (2012)]

Cited by 40 publications

References 0 publications

Nonequilibrium dynamics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic system with a time dependent oscillating magnetic field source

Nonequilibrium dynamics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic system with a time dependent oscillating magnetic field source

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Self-Assembly at a Nonequilibrium Critical Point

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