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• W2892186236 abstract "We address a long-standing debate regarding the finite-size scaling of the Ising model in high dimensions, by introducing a random-length random walk model, which we then study rigorously. We prove that this model exhibits the same universal FSS behaviour previously conjectured for the self-avoiding walk and Ising model on finite boxes in high-dimensional lattices. Our results show that the mean walk length of the random walk model controls the scaling behaviour of the corresponding Green's function. We numerically demonstrate the universality of our rigorous findings by extensive Monte Carlo simulations of the Ising model and self-avoiding walk on five-dimensional hypercubic lattices with free and periodic boundaries." @default.
• W2892186236 created "2018-09-27" @default.
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• W2892186236 date "2018-10-31" @default.
• W2892186236 modified "2023-10-18" @default.
• W2892186236 title "Random-Length Random Walks and Finite-Size Scaling in High Dimensions" @default.
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• W2892186236 doi "https://doi.org/10.1103/physrevlett.121.185701" @default.
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