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Coarsening in the long-range Ising model with conserved dynamics.

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Title: Coarsening in the long-range Ising model with conserved dynamics.
Authors: Das, Subir K.1 (AUTHOR) das@jncasr.ac.in, Ghosh, Soumik1 (AUTHOR)
Source: European Physical Journal B: Condensed Matter. Jun2025, Vol. 98 Issue 6, p1-10. 10p.
Subjects: Ising model, Critical temperature, Exponents, Equilibrium, Forecasting, Finite size scaling (Statistical physics)
Abstract: While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here, we present results, for such dynamics, from a Monte Carlo (MC) study of the two-dimensional long-range Ising model, with focus on critical compositions of up and down spins. The order parameter in the MC simulations was conserved via the incorporation of the Kawasaki spin-exchange method. The simulation results for domain growth, following quenches of the homogeneous systems to temperatures below the critical values T c , were analyzed via a method analogous to the finite-size scaling technique of equilibrium critical phenomena and other advanced methods. The outcomes reveal that the growths follow power laws, with the exponent having interesting dependence on the range of interaction. Quite interestingly, when the range is above a cut-off, the exponent, for any given range, seems to change from a larger value to a smaller one, during the evolution process. While the corresponding values at late times match with certain theoretical predictions for the conserved order-parameter dynamics, the ones at the early times appear surprisingly high, often quite close to even the theoretical values for the nonconserved case. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Coarsening in the long-range Ising model with conserved dynamics.
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  Data: <searchLink fieldCode="AR" term="%22Das%2C+Subir+K%2E%22">Das, Subir K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> das@jncasr.ac.in</i><br /><searchLink fieldCode="AR" term="%22Ghosh%2C+Soumik%22">Ghosh, Soumik</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+B%3A+Condensed+Matter%22">European Physical Journal B: Condensed Matter</searchLink>. Jun2025, Vol. 98 Issue 6, p1-10. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Ising+model%22">Ising model</searchLink><br /><searchLink fieldCode="DE" term="%22Critical+temperature%22">Critical temperature</searchLink><br /><searchLink fieldCode="DE" term="%22Exponents%22">Exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Forecasting%22">Forecasting</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+size+scaling+%28Statistical+physics%29%22">Finite size scaling (Statistical physics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here, we present results, for such dynamics, from a Monte Carlo (MC) study of the two-dimensional long-range Ising model, with focus on critical compositions of up and down spins. The order parameter in the MC simulations was conserved via the incorporation of the Kawasaki spin-exchange method. The simulation results for domain growth, following quenches of the homogeneous systems to temperatures below the critical values T c , were analyzed via a method analogous to the finite-size scaling technique of equilibrium critical phenomena and other advanced methods. The outcomes reveal that the growths follow power laws, with the exponent having interesting dependence on the range of interaction. Quite interestingly, when the range is above a cut-off, the exponent, for any given range, seems to change from a larger value to a smaller one, during the evolution process. While the corresponding values at late times match with certain theoretical predictions for the conserved order-parameter dynamics, the ones at the early times appear surprisingly high, often quite close to even the theoretical values for the nonconserved case. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjb/s10051-025-00972-9
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      – Code: eng
        Text: English
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        PageCount: 10
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      – SubjectFull: Ising model
        Type: general
      – SubjectFull: Critical temperature
        Type: general
      – SubjectFull: Exponents
        Type: general
      – SubjectFull: Equilibrium
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      – SubjectFull: Forecasting
        Type: general
      – SubjectFull: Finite size scaling (Statistical physics)
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      – TitleFull: Coarsening in the long-range Ising model with conserved dynamics.
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            – D: 01
              M: 06
              Text: Jun2025
              Type: published
              Y: 2025
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