Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Aspelmeier, T."'
Autor:
Aspelmeier, T., Moore, M. A.
Publikováno v:
Phys. Rev. E105, 034138 (2022)
The free energy landscape of the Sherrington-Kirkpatrik (SK) Ising spin glass is simple in the framework of the Thouless-Anderson-Palmer (TAP) equations as each solution (which are minima of the free energy) has associated with it a nearby index-one
Externí odkaz:
http://arxiv.org/abs/2111.06753
Autor:
Aspelmeier, T., Moore, M. A.
Publikováno v:
Phys. Rev. E 100, 032127 (2019)
We show that the only solutions of the TAP equations for the Sherrington-Kirkpatrick model of Ising spin glasses which can be found by iteration are those whose free energy lies on the border between replica symmetric and broken replica symmetric sta
Externí odkaz:
http://arxiv.org/abs/1905.08528
Publikováno v:
Phys. Rev. E 94, 022116 (2016)
The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having broken repl
Externí odkaz:
http://arxiv.org/abs/1606.03990
Autor:
Aspelmeier, T., Katzgraber, Helmut G., Larson, Derek, Moore, M. A., Wittmann, Matthew, Yeo, Joonhyun
Publikováno v:
Phys. Rev. E 93, 032123 (2016)
We study in Ising spin glasses the finite-size effects near the spin-glass transition in zero field and at the de Almeida-Thouless transition in a field by Monte Carlo methods and by analytical approximations. In zero field, the finite-size scaling f
Externí odkaz:
http://arxiv.org/abs/1509.05372
Autor:
Aspelmeier, T., Zippelius, A.
We analyse the density of states of the random graph Laplacian in the percolating regime. A symmetry argument and knowledge of the density of states in the nonpercolating regime allows us to isolate the density of states of the percolating cluster (D
Externí odkaz:
http://arxiv.org/abs/1008.1087
Autor:
Aspelmeier, T., Braun, A.
We calculate the finite size scaling of the sample-to-sample fluctuations of the free energy $\Delta F$ of the $m$ component vector spin glass in the large-$m$ limit. This is accomplished using a variant of the interpolating Hamiltonian technique whi
Externí odkaz:
http://arxiv.org/abs/1001.0893
Autor:
Aspelmeier, T.
Publikováno v:
J. Phys. A: Math. Theor. 41 (2008) 205005
We calculate the probability distribution of the overlap between a spin glass and a copy of itself in which the bonds are randomly perturbed in varying degrees. The overlap distribution is shown to go to a delta distribution in the thermodynamic limi
Externí odkaz:
http://arxiv.org/abs/0802.3204
Autor:
Aspelmeier, T.
Publikováno v:
J. Stat. Mech. (2008) P04018
Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2- and 4-repli
Externí odkaz:
http://arxiv.org/abs/0802.3007
Autor:
Aspelmeier, T.
Publikováno v:
Phys. Rev. Lett. 100:117205, 2008
The sample-to-sample fluctuations Delta F_N of the free energy in the Sherrington-Kirkpatrick model are shown rigorously to be related to bond chaos. Via this connection, the fluctuations become analytically accessible by replica methods. The replica
Externí odkaz:
http://arxiv.org/abs/0712.3586
Publikováno v:
J. Phys. A: Math. Theor. 41 (2008) 324008
We argue that when the number of spins $N$ in the SK model is finite, the Parisi scheme can be terminated after $K$ replica-symmetry breaking steps, where $K(N) \propto N^{1/6}$. We have checked this idea by Monte Carlo simulations: we expect the typ
Externí odkaz:
http://arxiv.org/abs/0711.3445