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pro vyhledávání: '"Stein, D A"'
Autor:
Newman, C. M., Stein, D. L.
We show that the notion of critical droplets is central to an understanding of the nature of ground states in the Edwards-Anderson Ising model of a spin glass in arbitrary dimension. Given a specific ground state, suppose the coupling value for a giv
Externí odkaz:
http://arxiv.org/abs/2410.20610
Autor:
Newman, C. M., Stein, D. L.
Publikováno v:
J. Stat. Phys. 191, 128 (2024)
It is generally believed (but not yet proved) that Ising spin glasses with nearest-neighbor interactions have a phase transition in three and higher dimensions to a low-temperature spin glass phase, but the nature of this phase remains controversial,
Externí odkaz:
http://arxiv.org/abs/2407.17506
Autor:
Newman, C. M., Stein, D. L.
Publikováno v:
J. Phys. A: Math. Theor. 57, 11LT01(2024)
We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on Gibbs sta
Externí odkaz:
http://arxiv.org/abs/2306.07132
Publikováno v:
Phys. Rev. Lett. 130, 077102 (2023)
We consider short-range Ising spin glasses in equilibrium at infinite system size, and prove that, for fixed bond realization and a given Gibbs state drawn from a suitable metastate, each translation- and locally-invariant function (for example, self
Externí odkaz:
http://arxiv.org/abs/2207.10208
We review work by the authors on thermal activation in nanoscopic magnetic systems. These systems present unique difficulties in analyzing noise-induced escape over a barrier, including the presence of nonlocal interactions, nongradient terms in the
Externí odkaz:
http://arxiv.org/abs/2206.05826
In this review we define and discuss metastates, mathematical tools with general applicability to thermodynamic systems which are particularly useful when working with disordered or inhomogeneous short-range systems. In an infinite such system there
Externí odkaz:
http://arxiv.org/abs/2204.10345
Autor:
Newman, C. M., Stein, D. L.
We propose an approach toward understanding the spin glass phase at zero and low temperature by studying the stability of a spin glass ground state against perturbations of a single coupling. After reviewing the concepts of flexibility, critical drop
Externí odkaz:
http://arxiv.org/abs/2110.11229
An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations i
Externí odkaz:
http://arxiv.org/abs/2001.06527
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We derive lower bounds for the variance of the difference of energies between incongruent ground states, i.e., states with edge overlaps strictly less than one, of the Edwards-Anderson model on ${\mathbb Z}^d$. The bounds highlight a relation between
Externí odkaz:
http://arxiv.org/abs/1803.02308