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We present a new method based on the scattering technique to investigate fluctuation-induced forces at a fluid interface. The scattering approach, well suited to the study of many body systems of arbitrary geometries, is augmented to…

Soft Condensed Matter · Physics 2013-06-27 E. Noruzifar , J. Wagner , R. Zandi

We investigate numerically the time dependence of "window" overlaps in a three-dimensional Ising spin glass below its transition temperature after a rapid quench. Using an efficient GPU implementation, we are able to study large systems up…

Statistical Mechanics · Physics 2015-04-09 Markus Manssen , Alexander K. Hartmann , A. P. Young

In [arXiv:2311.08980], it was shown that if the limit of the free energy in a non-convex vector spin glass model exists, it must be a critical value of a certain functional. In this work, we extend this result to multi-species spin glass…

Disordered Systems and Neural Networks · Physics 2024-11-21 Hong-Bin Chen

We study the effect of interactions on the time reversal invariant topological insulators in four and three spatial dimensions. Their topological indices are expressed by the interacting Green's functions. Under the local self-energy…

Strongly Correlated Electrons · Physics 2011-12-08 Lei Wang , Xi Dai , X. C. Xie

Spin glasses, generally defined as disordered systems with randomized competing interactions, are a widely investigated complex system. Theoretical models describing spin glasses are broadly used in other complex systems, such as those…

20 years ago, Bovier, Kurkova, and L\"owe [5] proved a central limit theorem (CLT) for the fluctuations of the free energy in the p-spin version of the Sherrington-Kirkpatrick model of spin glasses at high temperatures. In this paper we…

Probability · Mathematics 2022-05-31 Anton Bovier , Adrien Schertzer

We study experimentally the interactions between normal solitons and tilted beams in glass waveguide arrays. We find that as a tilted beam, traversing away from a normally propagating soliton, coincides with the self-defocusing regime of…

Pattern Formation and Solitons · Physics 2009-11-11 Y. Linzon , Y. Sivan , B. Malomed , M. Zaezjev , R. Morandotti , S. Bar-Ad

We address the question of geometrical as well as energetic properties of local excitations in mean field Ising spin glasses. We study analytically the Random Energy Model and numerically a dilute mean field model, first on tree-like…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Krzakala , G. Parisi

We prove that the Aizenman-Contucci relations, well known for fully connected spin glasses, hold in diluted spin glasses as well. We also prove more general constraints in the same spirit for multi-overlaps, systematically confirming and…

Statistical Mechanics · Physics 2007-06-13 Adriano Barra , Luca De Sanctis

We perform Monte Carlo simulations in a random anisotropy magnet at a intermediate exchange to anisotropy ratio. We focus on the out of equilibrium relaxation after a sudden quenching in the low temperature phase, well below the freezing…

Disordered Systems and Neural Networks · Physics 2009-11-11 Orlando V. Billoni , Sergio A. Cannas , Francisco A. Tamarit

The planted p-spin interaction model is a paradigm of random-graph systems possessing both a ferromagnetic phase and a disordered phase with the latter splitting into many spin glass states at low temperatures. Conventional simulated…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hai-Jun Zhou , Qinyi Liao

We consider the interaction between two rods embedded in a fluctuating surface which is governed by either surface tension or rigidity. The modification of fluctuations by the rods leads to an attractive long-range interaction that falls…

Condensed Matter · Physics 2016-08-31 R. Golestanian , M. Goulian , M. Kardar

In this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin glass. In the whole replica symmetric region, we obtain a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Guerra , Fabio Lucio Toninelli

We revisit the concept of marginal stability in glasses, and determine its range of applicability in the context of avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudo-gap in the…

Statistical Mechanics · Physics 2015-01-06 Markus Müller , Matthieu Wyart

Cooperative events requiring anomalously large fluctuations are a defining characteristic for the onset of glassy relaxation across many materials. The importance of such intermittent events has been noted in systems as diverse as…

Soft Condensed Matter · Physics 2021-12-10 Stefan Boettcher , Paula A. Gago , Paolo Sibani

This paper is devoted to a detailed study of a p-spins interaction model with external field, including some sharp bounds on the speed of self averaging of the overlap as well as a central limit theorem for its fluctuations, the…

Probability · Mathematics 2007-05-23 X. Bardina , D. Marquez , C. Rovira , S. Tindel

We study spin glasses with Kac type interaction potential for small but finite inverse interaction range $\gamma$. Using the theoretical setup of coupled replicas, through the replica method we argue that the probability of overlap profiles…

Disordered Systems and Neural Networks · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

We develop a model free energy from an expansion that basically includes graphs without loops. From this calculation, we derive the temperature dependence of the density (or specific volume), the typical time scale of the…

Disordered Systems and Neural Networks · Physics 2016-10-28 Henrich Frielinghaus

Across many scientific and engineering disciplines, it is important to consider how much the output of a given system changes due to perturbations of the input. Here, we investigate the glassy phase of $\pm J$ spin glasses at zero…

Disordered Systems and Neural Networks · Physics 2022-10-24 Vaibhav Mohanty , Ard A. Louis

Marginal stability is the notion that stability is achieved, but only barely so. This property constrains the ensemble of configurations explored at low temperature in a variety of systems, including spin, electron and structural glasses. A…

Statistical Mechanics · Physics 2016-04-12 Le Yan , Marco Baity-Jesi , M. Mueller , Matthieu Wyart
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