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Efrat A. Noise-to-noise ratios in correlation length calculations near criticality. Phys Rev E 2021; 104:024125. [PMID: 34525674 DOI: 10.1103/physreve.104.024125] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2021] [Accepted: 07/19/2021] [Indexed: 11/07/2022]
Abstract
For finite quenched random systems, on regular lattices, it is possible to define two types of variances (noises). It is demonstrated that their ratio is useful in calculating the correlation length of an infinite and rather general random system, as a function of temperature. The numerical method of obtaining those variables is not relevant. It can be real-space numerical renormalization, simulation, or any other method. It does not matter. The correlation length obtained by this technique may then be used to obtain directly the critical correlation exponent, ν, rather than indirectly, using scaling relations, as is often done. The method is demonstrated by applying it to the random field Ising model.
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Affiliation(s)
- Avishay Efrat
- Physics Unit, Afeka Tel-Aviv Academic College of Engineering, Tel-Aviv 6910717, Israel
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Bupathy A, Banerjee V, Puri S. Random-field Ising model on isometric lattices: Ground states and non-Porod scattering. Phys Rev E 2016; 93:012104. [PMID: 26871021 DOI: 10.1103/physreve.93.012104] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2015] [Indexed: 11/07/2022]
Abstract
We use a computationally efficient graph cut method to obtain ground state morphologies of the random-field Ising model (RFIM) on (i) simple cubic (SC), (ii) body-centered cubic (BCC), and (iii) face-centered cubic (FCC) lattices. We determine the critical disorder strength Δ_{c} at zero temperature with high accuracy. For the SC lattice, our estimate (Δ_{c}=2.278±0.002) is consistent with earlier reports. For the BCC and FCC lattices, Δ_{c}=3.316±0.002 and 5.160±0.002, respectively, which are the most accurate estimates in the literature to date. The small-r behavior of the correlation function exhibits a cusp regime characterized by a cusp exponent α signifying fractal interfaces. In the paramagnetic phase, α=0.5±0.01 for all three lattices. In the ferromagnetic phase, the cusp exponent shows small variations due to the lattice structure. Consequently, the interfacial energy E_{i}(L) for an interface of size L is significantly different for the three lattices. This has important implications for nonequilibrium properties.
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Affiliation(s)
- Arunkumar Bupathy
- Department of Physics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
| | - Varsha Banerjee
- Department of Physics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
| | - Sanjay Puri
- School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
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Shrivastav GP, Banerjee V, Puri S. Non-Porod behavior in systems with rough morphologies. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2014; 37:98. [PMID: 25348663 DOI: 10.1140/epje/i2014-14098-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2014] [Revised: 09/24/2014] [Accepted: 10/10/2014] [Indexed: 05/28/2023]
Abstract
Many experiments yield multi-scale morphologies which are smooth on some length scales and fractal on others. Accurate statements about morphological properties, e.g., roughness exponent, fractal dimension, domain size, interfacial width, etc. are obtained from the correlation function and structure factor. In this paper, we present structure factor data for two systems: (a) droplet-in-droplet morphologies of double-phase-separating mixtures; and (b) ground-state morphologies in dilute anti-ferromagnets. An important characteristic of the scattering data is a non-Porod tail, which is associated with scattering off rough domains and interfaces.
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Affiliation(s)
- Gaurav P Shrivastav
- School of Physical Sciences, Jawaharlal Nehru University, 110067, New Delhi, India
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Sinha S, Mandal PK. Dynamical properties of random-field Ising model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:022121. [PMID: 23496474 DOI: 10.1103/physreve.87.022121] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2012] [Indexed: 06/01/2023]
Abstract
Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the domain growth, the order parameter, and the spin-spin correlation functions are studied in the nonequilibrium regime. The dynamical evolution of the order parameter and the domain growth shows a power law scaling with disorder-dependent exponents. It is observed that for weak random fields, the two-dimensional random field Ising model possesses long-range order. Except for weak disorder, exchange interaction never wins over pinning interaction to establish long-range order in the system.
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Affiliation(s)
- Suman Sinha
- Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.
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Yüksel Y, Vatansever E, Akıncı U, Polat H. Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:051123. [PMID: 23004719 DOI: 10.1103/physreve.85.051123] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2012] [Indexed: 06/01/2023]
Abstract
Nonequilibrium behavior and dynamic phase-transition properties of a kinetic Ising model under the influence of periodically oscillating random fields have been analyzed within the framework of effective-field theory based on a decoupling approximation. A dynamic equation of motion has been solved for a simple-cubic lattice (q=6) by utilizing a Glauber-type stochastic process. Amplitude of the sinusoidally oscillating magnetic field is randomly distributed on the lattice sites according to bimodal and trimodal distribution functions. For a bimodal type of amplitude distribution, it is found in the high-frequency regime that the dynamic phase diagrams of the system in the temperature versus field amplitude plane resemble the corresponding phase diagrams of the pure kinetic Ising model. Our numerical results indicate that for a bimodal distribution, both in the low- and high-frequency regimes, the dynamic phase diagrams always exhibit a coexistence region in which the stationary state (ferro or para) of the system is completely dependent on the initial conditions, whereas for a trimodal distribution, the coexistence region disappears depending on the values of the system parameters.
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Affiliation(s)
- Yusuf Yüksel
- Department of Physics, Dokuz Eylül University, TR-35160 Izmir, Turkey
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Akıncı U, Yüksel Y, Polat H. Effective-field-theory analysis of the three-dimensional random-field Ising model on isometric lattices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 83:061103. [PMID: 21797298 DOI: 10.1103/physreve.83.061103] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2011] [Indexed: 05/31/2023]
Abstract
An Ising model with quenched random magnetic fields is examined for single-Gaussian, bimodal, and double-Gaussian random-field distributions by introducing an effective-field approximation that takes into account the correlations between different spins that emerge when expanding the identities. Random-field distribution shape dependencies of the phase diagrams and magnetization curves are investigated for simple cubic, body-centered-cubic, and face-centered-cubic lattices. The conditions for the occurrence of reentrant behavior and tricritical points on the system are also discussed in detail.
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Affiliation(s)
- Umit Akıncı
- Department of Physics, Dokuz Eylül University, Izmir, Turkey
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Malakis A, Fytas NG. Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 73:016109. [PMID: 16486218 DOI: 10.1103/physreve.73.016109] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2004] [Revised: 11/28/2005] [Indexed: 05/06/2023]
Abstract
We apply the recently developed critical minimum-energy subspace scheme for the investigation of the random-field Ising model. We point out that this method is well suited for the study of this model. The density of states is obtained via the Wang-Landau and broad histogram methods in a unified implementation by employing the N-fold version of the Wang-Landau scheme. The random fields are obtained from a bimodal distribution (hi = +/-2), and the scaling of the specific heat maxima is studied on cubic lattices with sizes ranging from L=4 to L=32. Observing the finite-size scaling behavior of the maxima of the specific heats we examine the question of saturation of the specific heat. The lack of self-averaging of this quantity is fully illustrated, and it is shown that this property may be related to the question mentioned above.
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Affiliation(s)
- Anastasios Malakis
- Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece
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9
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Ryan TW, Cowley RA, Andrews SR. An experimental study of the effect of random fields in BaMnF4: a material with continuous symmetry. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/19/6/001] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Gofman M, Adler J, Aharony A, Harris AB, Schwartz M. Critical behavior of the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:6362-6384. [PMID: 9982034 DOI: 10.1103/physrevb.53.6362] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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12
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Slanic Z, Belanger DP, Wang J, Taylor DR. Specific-heat critical behavior of the structural random-field system Dy(AsxV1-x)O4. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:97-101. [PMID: 9981951 DOI: 10.1103/physrevb.53.97] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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13
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Rieger H. Critical behavior of the three-dimensional random-field Ising model: Two-exponent scaling and discontinuous transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:6659-6667. [PMID: 9981896 DOI: 10.1103/physrevb.52.6659] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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14
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Taylor DR, Reza KA, Graham JT. Neutron-scattering study of interfacial roughening in twinned orthorhombic Dy(As0.15V0.85)O4. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:7108-7114. [PMID: 9979651 DOI: 10.1103/physrevb.52.7108] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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15
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Gilhoj H, Jeppesen C, Mouritsen OG. Effects of mobile vacancies on the dynamics of ordering and phase separation in nonconserved multicomponent systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:1465-1475. [PMID: 9963565 DOI: 10.1103/physreve.52.1465] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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16
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Frisken BJ, Cannell DS, Lin MY, Sinha SK. Neutron-scattering studies of binary mixtures in silica gels. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:5866-5879. [PMID: 9963324 DOI: 10.1103/physreve.51.5866] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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17
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Parmar YS, Bhattacharjee JK. Dynamic scaling, zero-temperature fixed point, and the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:6350-6352. [PMID: 10011629 DOI: 10.1103/physrevb.49.6350] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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18
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19
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Lederman M, Selinger JV, Bruinsma R, Orbach R, Hammann J. Dynamics of the diluted Ising antiferromagnet Fe0.46Zn0.54F2 in the (H,T) plane. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:3810-3819. [PMID: 10008829 DOI: 10.1103/physrevb.48.3810] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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20
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Cao MS, Machta J. Migdal-Kadanoff study of the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:3177-3182. [PMID: 10008741 DOI: 10.1103/physrevb.48.3177] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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21
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Nowak U, Usadel KD. Structure of domains in random Ising magnets. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:8329-8335. [PMID: 10002595 DOI: 10.1103/physrevb.46.8329] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Willart J, Mouritsen OG, Naudts J, Descamps M. Ordering kinetics in model systems with inhibited interfacial adsorption. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:8089-8098. [PMID: 10002565 DOI: 10.1103/physrevb.46.8089] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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Han SJ, Belanger DP, Kleemann W, Nowak U. Relaxation of the excess magnetization of random-field-induced metastable domains in Fe0.47Zn0.53F2. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:9728-9735. [PMID: 10000859 DOI: 10.1103/physrevb.45.9728] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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24
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Sartorelli JC. NMR determination of the order-parameter exponent beta in Fe0.46Zn0.54F2. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:10779-10782. [PMID: 10000986 DOI: 10.1103/physrevb.45.10779] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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25
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Graham JT, Page JH, Taylor DR. Ultrasonic investigation of critical behavior in the random-field Ising system Dy(AsxV1-x)O4. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:4127-4134. [PMID: 10000058 DOI: 10.1103/physrevb.44.4127] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Belanger DP, Murray WE, Montenegro FC, King AR, Jaccarino V, Erwin RW. Neutron-scattering study of an Ising antiferromagnet above the percolation threshold: Random-field-induced spin-glass-like behavior in Fe0.31Zn0.69F2. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:2161-2168. [PMID: 9999765 DOI: 10.1103/physrevb.44.2161] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Ferreira IB, King AR, Jaccarino V. Concentration dependence of the random-field-crossover scaling in FexZn1-xF2. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:10797-10802. [PMID: 9996811 DOI: 10.1103/physrevb.43.10797] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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28
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Nash AE, King AR, Jaccarino V. Experimental verification of activated critical dynamics in the d=3 random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:1272-1275. [PMID: 9996345 DOI: 10.1103/physrevb.43.1272] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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29
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Caudron R, Bouchiat H, Monod P, Brown PJ, Chung R, Tholence JL. Long-range magnetic order in very dilute YEr alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:2325-2336. [PMID: 9995679 DOI: 10.1103/physrevb.42.2325] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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30
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Oguz E, Chakrabarti A, Toral R, Gunton JD. Domain growth in the two-dimensional time-dependent Ginzburg-Landau model in the presence of a random magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:704-708. [PMID: 9994591 DOI: 10.1103/physrevb.42.704] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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31
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Shah PJ, Mouritsen OG. Dynamics of ordering processes in annealed dilute systems: Island formation, vacancies at domain boundaries, and compactification. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:7003-7018. [PMID: 9992958 DOI: 10.1103/physrevb.41.7003] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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32
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Zuo J, Wang G. Effects of impurities on the phase transition and critical phenomena of a chemisorbed overlayer. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:7078-7087. [PMID: 9992966 DOI: 10.1103/physrevb.41.7078] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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33
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Mouritsen OG, Shah PJ. Dynamical scaling and crossover from algebraic to logarithmic growth in dilute systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:11445-11448. [PMID: 9991741 DOI: 10.1103/physrevb.40.11445] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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34
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The effects of random fields on the critical and bicritical behavior of Mn x Zn1?x F2. ACTA ACUST UNITED AC 1989. [DOI: 10.1007/bf01321818] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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35
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Thurston TR, Peters CJ, Birgeneau RJ, Horn PM. Synchrotron magnetic x-ray measurements of the order parameter in Mn0.5Zn. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:9559-9563. [PMID: 9944346 DOI: 10.1103/physrevb.37.9559] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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37
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Grant M. Dynamics of roughening and complete wetting. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:5705-5712. [PMID: 9943766 DOI: 10.1103/physrevb.37.5705] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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38
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Zuo J, Wang G, Lu T. Growth kinetics of a chemisorbed overlayer in the presence of impurities. PHYSICAL REVIEW LETTERS 1988; 60:1053-1056. [PMID: 10037929 DOI: 10.1103/physrevlett.60.1053] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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39
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Belanger DP, King AR, Ferreira IB, Jaccarino V. Concentration inhomogeneities in random magnets. II. Effects on critical-phenomena studies. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:226-235. [PMID: 9943567 DOI: 10.1103/physrevb.37.226] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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40
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Belanger DP, Jaccarino V, King AR, Nicklow RM. Neutron-scattering observations of extreme critical slowing down in a d=3 random-field system. PHYSICAL REVIEW LETTERS 1987; 59:930-933. [PMID: 10035909 DOI: 10.1103/physrevlett.59.930] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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41
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Huse DA, Fisher DS. Dynamics of droplet fluctuations in pure and random Ising systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:6841-6846. [PMID: 9940937 DOI: 10.1103/physrevb.35.6841] [Citation(s) in RCA: 90] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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42
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Grant M, Gunton JD. Metastable states in the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:4922-4928. [PMID: 9940671 DOI: 10.1103/physrevb.35.4922] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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43
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Belanger DP, Yoshizawa H. Neutron scattering and the critical behavior of the three-dimensional Ising antiferromagnet FeF2. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:4823-4830. [PMID: 9940657 DOI: 10.1103/physrevb.35.4823] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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44
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Graham JT, Maliepaard M, Page JH, Smith SR, Taylor DR. Random-field effects on Ising Jahn-Teller phase transitions. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:2098-2101. [PMID: 9941654 DOI: 10.1103/physrevb.35.2098] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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45
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Shapir Y. Static and dynamic properties of random-field systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:62-65. [PMID: 9940571 DOI: 10.1103/physrevb.35.62] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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46
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Cambier JL, Nauenberg M. Formation of domains in the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:7998-8003. [PMID: 9939487 DOI: 10.1103/physrevb.34.7998] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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47
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Houghton A, Khurana A, Seco FJ. High-temperature series and the random-field Ising model. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:1700-1718. [PMID: 9939820 DOI: 10.1103/physrevb.34.1700] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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48
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Wong P. Specific-heat study of random-field and competing-anisotropy effects in Fe1-xCoxCl2. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:1864-1879. [PMID: 9939844 DOI: 10.1103/physrevb.34.1864] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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49
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Kleemann W, King AR, Jaccarino V. Critical behavior of the magnetization of a d=3 random-field Ising system. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:479-482. [PMID: 9939292 DOI: 10.1103/physrevb.34.479] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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King AR, Mydosh JA, Jaccarino V. ac susceptibility study of the d=3 random-field critical dynamics. PHYSICAL REVIEW LETTERS 1986; 56:2525-2528. [PMID: 10033015 DOI: 10.1103/physrevlett.56.2525] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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