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Protein folding is analyzed using a replica variational formalism to investigate some free energy landscape characteristics relevant for dynamics. A random contact interaction model that satisfies the minimum frustration principle is used…

Disordered Systems and Neural Networks · Physics 2009-10-30 Shoji Takada , Peter G. Wolynes

Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are…

Statistical Mechanics · Physics 2009-11-11 S. E. Korshunov

We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers--Wannier transfer-matrix…

Statistical Mechanics · Physics 2022-06-22 F. A. Kassan-Ogly , A. V. Zarubin

The classical Monte Carlo method is used to study the properties of the ground state and phase transitions of the spin-pseudospin model, which describes a two-dimensional Ising magnet with competing charge and spin interactions. This…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

In itinerant magnetic systems with disorder, the quantum Griffiths phase at T=0 is unstable to formation of a cluster glass (CG) of frozen droplet degrees of freedom. In the absence of the fluctuations associated with these degrees of…

Disordered Systems and Neural Networks · Physics 2007-10-22 Matthew J. Case , Vlad Dobrosavljevic

Inverse problems arise in situations where data is available, but the underlying model is not. It can therefore be necessary to infer the parameters of the latter starting from the former. Statistical mechanics offers a toolbox of…

Statistical Mechanics · Physics 2025-07-04 Stefano Bae , Dario Bocchi , Luca Maria Del Bono , Luca Leuzzi

We revisit the phenomenon of spinodals in the presence of quenched disorder and develop a complete theory for it. We focus on the spinodal of an Ising model in a quenched random field (RFIM), which has applications in many areas from…

Soft Condensed Matter · Physics 2016-05-23 Saroj Kumar Nandi , Giulio Biroli , Gilles Tarjus

The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Greg Farrell , Jane' Kondev , Bulbul Chakraborty

The superconducting transition in presence of strong columnar disorder parallel to the magnetic field is considered. A solvable model appropriate for description of the broad crossover regime towards the true "glassy" critical behavior is…

Superconductivity · Physics 2008-02-03 Igor F. Herbut

The starting point of the present work is the observation of possible analogies, both at the phenomenological and at the methodological level, between the subcritical transition to turbulence and the glass transition. Having recalled the…

Fluid Dynamics · Physics 2014-06-17 Olivier Dauchot , Eric Bertin

Glass formers are in general classified as strong or fragile depending on whether their relaxation rates follow Arrhenius or super-Arrhenius temperature dependence. There are however notable exceptions such as water, which exhibit a…

Soft Condensed Matter · Physics 2023-01-06 Chin-Yuan Ong , Chun-Shing Lee , Xin-Yuan Gao , Qiang Zhai , Rui Shi , Hai-Yao Deng , Chi-Hang Lam

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

Statistical Mechanics · Physics 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

We study the triangular lattice Ising model with a finite number of vertically stacked layers and demonstrate a low temperature reentrance of two Berezinskii-Kosterlitz-Thouless transitions, which results in an extended disordered regime…

Strongly Correlated Electrons · Physics 2014-04-17 Shi-Zeng Lin , Yoshitomo Kamiya , Gia-Wei Chern , Cristian D. Batista

We use quantum Monte Carlo methods and various analytic approximations to solve the Ising spin-glass model in a transverse field in the disordered phase. We focus on the behavior of the frequency dependent susceptibility of the system above…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. J. Rozenberg , D. R. Grempel

Since the discovery of spin glasses in dilute magnetic systems, their study has been largely focused on understanding randomness and defects as the driving mechanism. The same paradigm has also been applied to explain glassy states found in…

We propose a new scenario for glassy dynamics in frustrated systems with no quenched-in randomness, based on jamming of extended dynamical structures near a critical point. This route to a glassy state is demonstrated in a lattice model of…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

A general phenomenology for phase behaviour in the mixed phase of type-II superconductors with weak point pinning disorder is outlined. We propose that the ``Bragg glass'' phase generically transforms via two separate thermodynamic phase…

Superconductivity · Physics 2009-11-07 Gautam I. Menon

We investigate the dynamic behavior of spin reversal events in the dilute Ising model, focusing on the influence of static disorder introduced by pinned spins. Our Monte Carlo simulations reveal that in a homogeneous, defect-free system,…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Timothy J. Sluckin , Paolo Biscari

The site-random Ising spin glass model is investigated. We find a rigorous symmetry for the SG correlation and the free energy, which provides some restrictions in the phase diagram. Using the defect energies calculated by the numerical…

Condensed Matter · Physics 2009-10-28 Yukiyasu Ozeki , Yoshihiko Nonomura
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