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Takashi Hiramatsu - One of the best experts on this subject based on the ideXlab platform.

  • cosmic string in abelian higgs model with enhanced symmetry implication to the axion domain wall problem
    Journal of High Energy Physics, 2020
    Co-Authors: Takashi Hiramatsu, Masahiro Ibe, Motoo Suzuki
    Abstract:

    In our Previous work, we found new types of the cosmic string solutions in the Abelian-Higgs model with an enhanced U(1) global symmetry. We dubbed those solutions as the compensated/uncompensated strings. The compensated string is similar to the conventional cosmic string in the Abrikosov-Nielsen-Olesen (ANO) string, around which only the would-be Nambu-Goldstone (NG) boson winds. Around the uncompensated string, on the other hand, the physical NG boson also winds, where the physical NG boson is associated with the spontaneous breaking of the enhanced symmetry. Our Previous Simulation in the 2+1 dimensional spacetime confirmed that both the compensated/uncompensated strings are formed at the phase transition of the symmetry breaking. Non-trivial winding of the physical NG boson around the strings potentially causes the so-called axion domain- wall problem when the model is applied to the axion model. In this paper, we perform Simulation in the 3+1 dimensional spacetime to discuss the fate of the uncompensated strings. We observe that the evolution of the string-network is highly complicated in the 3+1 dimensional Simulation compared with that seen in the Previous Simulation. Despite such complications, we find that the number of the uncompensated strings which could cause can be highly suppressed at late times. Our observation suggests that the present setup can be applied to the axion model without suffering from the axion domain-wall problem.

Roland Roth - One of the best experts on this subject based on the ideXlab platform.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    Journal of Chemical Physics, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self-van Hove correlation function and distinct van Hove correlation function by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self-part and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between the experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments, the short-time self-diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. By contrast, and in accordance with Previous Simulation studies, the present DDFT, which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    arXiv: Soft Condensed Matter, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self and distinct van Hove correlation functions by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self- and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments the short-time self diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. In contrast, and in accordance with Previous Simulation studies, the present DDFT which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.

Alice L Thorneywork - One of the best experts on this subject based on the ideXlab platform.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    Journal of Chemical Physics, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self-van Hove correlation function and distinct van Hove correlation function by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self-part and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between the experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments, the short-time self-diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. By contrast, and in accordance with Previous Simulation studies, the present DDFT, which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    arXiv: Soft Condensed Matter, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self and distinct van Hove correlation functions by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self- and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments the short-time self diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. In contrast, and in accordance with Previous Simulation studies, the present DDFT which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.

Motoo Suzuki - One of the best experts on this subject based on the ideXlab platform.

  • cosmic string in abelian higgs model with enhanced symmetry implication to the axion domain wall problem
    Journal of High Energy Physics, 2020
    Co-Authors: Takashi Hiramatsu, Masahiro Ibe, Motoo Suzuki
    Abstract:

    In our Previous work, we found new types of the cosmic string solutions in the Abelian-Higgs model with an enhanced U(1) global symmetry. We dubbed those solutions as the compensated/uncompensated strings. The compensated string is similar to the conventional cosmic string in the Abrikosov-Nielsen-Olesen (ANO) string, around which only the would-be Nambu-Goldstone (NG) boson winds. Around the uncompensated string, on the other hand, the physical NG boson also winds, where the physical NG boson is associated with the spontaneous breaking of the enhanced symmetry. Our Previous Simulation in the 2+1 dimensional spacetime confirmed that both the compensated/uncompensated strings are formed at the phase transition of the symmetry breaking. Non-trivial winding of the physical NG boson around the strings potentially causes the so-called axion domain- wall problem when the model is applied to the axion model. In this paper, we perform Simulation in the 3+1 dimensional spacetime to discuss the fate of the uncompensated strings. We observe that the evolution of the string-network is highly complicated in the 3+1 dimensional Simulation compared with that seen in the Previous Simulation. Despite such complications, we find that the number of the uncompensated strings which could cause can be highly suppressed at late times. Our observation suggests that the present setup can be applied to the axion model without suffering from the axion domain-wall problem.

Daniel Stopper - One of the best experts on this subject based on the ideXlab platform.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    Journal of Chemical Physics, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self-van Hove correlation function and distinct van Hove correlation function by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self-part and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between the experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments, the short-time self-diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. By contrast, and in accordance with Previous Simulation studies, the present DDFT, which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.

  • bulk dynamics of brownian hard disks dynamical density functional theory versus experiments on two dimensional colloidal hard spheres
    arXiv: Soft Condensed Matter, 2018
    Co-Authors: Daniel Stopper, Alice L Thorneywork, Roel P A Dullens, Roland Roth
    Abstract:

    Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we calculate the self and distinct van Hove correlation functions by extending a recently proposed DDFT-approach for three-dimensional systems to two dimensions. We find that the theoretical results for both self- and distinct part of the van Hove function are in very good quantitative agreement with the experiments up to relatively high fluid packing fractions of roughly 0.60. However, at even higher densities, deviations between experiment and the theoretical approach become clearly visible. Upon increasing packing fraction, in experiments the short-time self diffusive behavior is strongly affected by hydrodynamic effects and leads to a significant decrease in the respective mean-squared displacement. In contrast, and in accordance with Previous Simulation studies, the present DDFT which neglects hydrodynamic effects, shows no dependence on the particle density for this quantity.