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We analyze the properties of the energy landscape of {\it finite-size} fully connected p-spin-like models whose high temperature phase is described, in the thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled liquids.…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Crisanti , F. Ritort

We study different solid phases of Helium-four, by means of Path Integral Monte Carlo simulations based on a recently developed "worm" algorithm. Our study includes simulations that start off from a high-T gas phase, which is then…

Statistical Mechanics · Physics 2009-11-11 M. Boninsegni , N. Prokof'ev , B. Svistunov

By using real space renormalisation group (RG) methods we show that spin-glasses in a field display a new kind of transition in high dimensions. The corresponding critical properties and the spin-glass phase are governed by two…

Disordered Systems and Neural Networks · Physics 2015-07-17 Maria Chiara Angelini , Giulio Biroli

We report exact numerical diagonalization results of the infinite-range Ising spin glass in a transverse field $\Gamma$ at zero temperature. Eigenvalues and eigenvectors are determined for various strengths of $\Gamma$ and for system sizes…

Statistical Mechanics · Physics 2008-02-03 Parongama Sen , Purusattam ray , Bikas K. Chakrabarti

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

The recently introduced ``mobile-bond'' model for two-dimensional spin glasses is studied. The model is characterized by an annealing temperature T_q. On the basis of Monte Carlo simulations of small systems it has been claimed that this…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alexander K. Hartmann

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common…

Disordered Systems and Neural Networks · Physics 2015-05-20 Kostya Trachenko

The exact mean-field theory for the simplest glass-forming system - the dense assembly of hard spheres in the large dimensional limit - predicts the existence of a Gardner phase. This transition is characterized by full replica symmetry…

Disordered Systems and Neural Networks · Physics 2022-06-17 Yuliang Jin , Hajime Yoshino

We have considered the two-spin interaction spherical spin-glass model with asymmetric bonds (coupling constants). Besides the usual interactions between spins and bonds and between the spins and a thermostat with temperature $T_{\sigma}$…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. E. Allahverdyan , D. B. Saakian

The Lee-Yang circle theorem revolutionized our understanding of phase transitions in ferromagnetic systems by showing that the complex zeros of partition functions lie on the unit circle, with criticality arising as these zeros approach the…

Disordered Systems and Neural Networks · Physics 2025-03-14 Chaoming Song

Here we discuss the annealing behavior of an infinite-range $\pm J$ Ising spin glass in presence of a transverse field using a zero-temperature quantum Monte Carlo. Within the simulation scheme, we demonstrate that quantum annealing not…

Quantum Physics · Physics 2009-11-13 Arnab Das , Bikas K. Chakrabarti

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We study two temperature correlators from the total free energy…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jovanka Lukic , Enzo Marinari , Olivier C. Martin , Silvia Sabatini

We present a combined study of thermal expansion and resistance fluctuation spectroscopy measurements exploring the static and dynamic aspects of the charge-glass formation in the quasi-two-dimensional organic conductors…

Strongly Correlated Electrons · Physics 2022-02-03 Tatjana Thomas , Yohei Saito , Yassine Agarmani , Tim Thyzel , Kenichiro Hashimoto , Takahiko Sasaki , Michael Lang , Jens Müller

Glass is everywhere. We use and are surrounded by glass objects which make tangible the reality of glass as a distinct state of matter. Yet, glass as we know it is usually obtained by cooling a liquid sufficiently rapidly below its melting…

Statistical Mechanics · Physics 2022-12-16 Benjamin Guiselin , Gilles Tarjus , Ludovic Berthier

Using Monte Carlo simulations, we have studied the relaxation of energy of the three-dimensional Ising spin-glass model in aging process. Our finite-size-scaling analysis on the isothermal energy decay after the quench suggests strongly…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

In the present paper we analyze the critical properties of a quantum spherical spin glass model with short range, random interactions. Since the model allows for rigorous detailed calculations, we can show how the effective partition…

Disordered Systems and Neural Networks · Physics 2008-06-10 Pedro Castro Menezes , Alba Theumann

We study topology of frustration in $d$-dimensional Ising spin glasses with $d\ge 2$ with nearest-neighbor interactions. We prove the following: For any given spin configuration, the domain walls on the unfrustration network are all…

Mathematical Physics · Physics 2010-04-08 Tohru Koma

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first…

Disordered Systems and Neural Networks · Physics 2009-11-07 Peter Gillin , Hidetoshi Nishimori , David Sherrington

We study in this work the dynamics of a collection of identical hollow spheres (ping-pong balls) that rest on a horizontal metallic grid. Fluidization is achieved by means of a turbulent air current coming from below. The upflow is adjusted…