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The Glauber dynamics of disordered spin models with multi-spin interactions on sparse random graphs (Bethe lattices) is investigated. Such models undergo a dynamical glass transition upon decreasing the temperature or increasing the degree…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea Montanari , Guilhem Semerjian

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu

We examine a biomolecular machine involving a driven, observable process coupled to a hidden process in a kinetically cooperative manner. A stochastic thermodynamics framework is employed to analyze a fluctuation theorem for the…

Statistical Mechanics · Physics 2025-11-14 D. Evan Piephoff , Jianshu Cao

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

Disordered Systems and Neural Networks · Physics 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

Thermalized elastic membranes without distant self-avoidance are believed to undergo a crumpling transition when the microscopic bending stiffness is comparable to $kT$, the scale of thermal fluctuations. Most potential physical…

Soft Condensed Matter · Physics 2017-11-16 D. Yllanes , S. S. Bhabesh , D. R. Nelson , M. J. Bowick

We propose a new type of quantum thermodynamic cycle whose efficiency is greater than the one of the classical Carnot cycle for the same conditions for a system when viewed as homogeneous. In our model this type of cycle only exists in the…

Quantum Physics · Physics 2024-08-15 Andreas Fring , Marta Reboiro

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely…

Strongly Correlated Electrons · Physics 2022-04-29 Juan José Mendoza-Arenas

Folding of the triangular lattice in a discrete three-dimensional space is investigated by means of the transfer-matrix method. This model was introduced by Bowick and co-workers as a discretized version of the polymerized membrane in…

Statistical Mechanics · Physics 2015-05-18 Yoshihiro Nishiyama

Hybrid molecular dynamics/Monte Carlo simulations used to study melts of unentangled, thermoreversibly associating supramolecular polymers. In this first of a series of papers, we describe and validate a model that is effective in…

Soft Condensed Matter · Physics 2015-05-13 Robert S. Hoy , Glenn H. Fredrickson

We study the effect of periodic, spatially uniform temperature variation on mechanical properties and structural relaxation of amorphous alloys using molecular dynamics simulations. The disordered material is modeled via a non-additive…

Soft Condensed Matter · Physics 2019-02-04 Qing-Long Liu , Nikolai V. Priezjev

The thermodynamic model of ultrathin lubricant film melting, confined between two atomically-flat solid surfaces, is built using the Landau phase transition approach. Non-equilibrium entropy is introduced describing the part of thermal…

Statistical Mechanics · Physics 2015-03-13 L. S. Metlov , A. V. Khomenko , I. A. Lyashenko

The dynamics of social relations and the possibility of reaching the state of structural balance (Heider balance) are discussed for various networks of interacting actors under the influence of the temperature modeling the social noise…

Physics and Society · Physics 2022-02-02 Maciej Wołoszyn , Krzysztof Malarz

We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

Strongly Correlated Electrons · Physics 2007-11-04 S. Glocke , A. Klümper , J. Sirker

In the past years, a remarkable mapping has been found between the dynamics of a population of M individuals undergoing random mutations and selection, and that of a single system in contact with a thermal bath with temperature 1/M. This…

Statistical Mechanics · Physics 2015-07-28 Tommaso Brotto , Guy Bunin , Jorge Kurchan

We study the statistical mechanics of supercooled liquids when the system evolves at a temperature $T$ with a field $\epsilon$ linearly coupled to its overlap with a reference configuration of the same liquid sampled at a temperature $T_0$.…

Statistical Mechanics · Physics 2022-04-05 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

The phase diagram and the thermodynamics of the random field Ising model (RFIM) defined on a family of diamond hierarchical lattices of arbitrary dimension and scaling factor $b=2$ is investigated. The phase diagram is studied considering…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexandre Rosas , Sérgio Coutinho

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

I briefly describe how mean-field glass models can be extended to the case in which the bath and friction are non-thermal, thus promoting them to granular matter mean-field caricatures. Solving their dynamics one discovers a temperature…

Statistical Mechanics · Physics 2016-11-23 Jorge Kurchan

We apply Thermostatted Ring Polymer Molecular Dynamics (TRPMD), a recently-proposed approximate quantum dynamics method, to the computation of thermal reaction rates. Its short-time Transition-State Theory (TST) limit is identical to…

Chemical Physics · Physics 2015-08-20 Timothy J. H. Hele , Yury V. Suleimanov

We propose a new analytic approach to study the phase diagram of random heteropolymers, based on the cavity method. For copolymers we analyze the nature and phenomenology of the glass transition as a function of sequence correlations.…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Montanari , M. Mueller , M. Mezard