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pro vyhledávání: '"Read, N."'
Autor:
Read, N.
We consider short-range classical spin glasses, or other disordered systems, consisting of Ising spins. For a low-temperature Gibbs state in infinite size in such a system, for given random bonds, it is controversial whether its decomposition into pu
Externí odkaz:
http://arxiv.org/abs/2406.13071
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
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:
Read, N., Raffuzzi, V.
Publikováno v:
In Nuclear Engineering and Design June 2024 422
Autor:
Read, N.
Publikováno v:
Phys. Rev. E 105, 054134 (2022)
In classical finite-range spin systems, especially those with disorder such as spin glasses, a low-temperature Gibbs state may be a mixture of a number of pure or ordered states; the complexity of the Gibbs state has been defined in the past roughly
Externí odkaz:
http://arxiv.org/abs/2108.11849
Publikováno v:
Phys. Rev. E 104, 034105 (2021)
Understanding the low-temperature pure state structure of spin glasses remains an open problem in the field of statistical mechanics of disordered systems. Here we study Monte Carlo dynamics, performing simulations of the growth of correlations follo
Externí odkaz:
http://arxiv.org/abs/2106.13191
Autor:
Höller, J., Read, N.
Publikováno v:
Phys. Rev. E 101, 042114 (2020)
The de Almeida-Thouless (AT) line is the phase boundary in the temperature--magnetic field plane of an Ising spin glass at which a continuous (i.e. second-order) transition from a paramagnet to a replica-symmetry-breaking (RSB) phase occurs, accordin
Externí odkaz:
http://arxiv.org/abs/1909.03284
Publikováno v:
Phys. Rev. A 102, 032216 (2020)
We consider the space of $n \times n$ non-Hermitian Hamiltonians ($n=2$, $3$, . . .) that are equivalent to a single $n\times n$ Jordan block. We focus on adiabatic transport around a closed path (i.e. a loop) within this space, in the limit as the t
Externí odkaz:
http://arxiv.org/abs/1809.07175
Autor:
Moore, M. A., Read, N.
Publikováno v:
Phys. Rev. Lett. 120, 130602 (2018)
The de Almeida-Thouless (AT) line in Ising spin glasses is the phase boundary in the temperature $T$ and magnetic field $h$ plane below which replica symmetry is broken. Using perturbative renormalization group (RG) methods, we show that when the dim
Externí odkaz:
http://arxiv.org/abs/1801.09779
Autor:
Read, N.
Publikováno v:
Phys. Rev. E 97, 012134 (2018)
We consider the one-dimensional model of a spin glass with independent Gaussian-distributed random interactions, that have mean zero and variance $1/|i-j|^{2\sigma}$, between the spins at sites $i$ and $j$ for all $i\neq j$. It is known that, for $\s
Externí odkaz:
http://arxiv.org/abs/1709.05270