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Thermal-equilibrated finite classical lattices are considered as a minimal model of the systems showing an interplay between low energy collective fluctuations and single site degrees of freedom. Standard local field approach, as well as…

Statistical Mechanics · Physics 2018-05-16 A. N. Rubtsov

We introduce an Ising spin-glass model with correlated disorder which continuously interpolates between the pure ferromagnetic Ising model and the Edwards-Anderson model with symmetric disorder. For this model, we prove that a Nishimori…

Disordered Systems and Neural Networks · Physics 2026-05-19 Hidetoshi Nishimori

We consider a class of non-integrable 2D Ising models, whose Hamiltonian, in addition to the nearest neighbor couplings, includes weak multi-spin interactions, even under spin flip. We study the model in cylindrical domains of arbitrary…

Mathematical Physics · Physics 2023-02-24 Giovanni Antinucci , Alessandro Giuliani , Rafael Leon Greenblatt

In nonequilibrium systems with uncoupled currents, the thermodynamic affinity determines the direction of currents, quantifies dissipation, and constrains current fluctuations. However, these properties of the thermodynamic affinity do not…

Statistical Mechanics · Physics 2025-04-11 Adarsh Raghu , Izaak Neri

We obtain macroscopic adiabatic thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics subject to random collisions with the environment. The microscopic dynamics is given by a chain of oscillators…

Statistical Mechanics · Physics 2014-12-12 Stefano Olla , Marielle Simon

We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact…

Statistical Mechanics · Physics 2023-05-17 Tomasz Komorowski , Joel Lebowitz , Stefano Olla , Marielle Simon

We study the energy flow between a one dimensional oscillator and a chaotic system with two degrees of freedom in the weak coupling limit. The oscillator's observables are averaged over an initially microcanonical ensemble of trajectories…

Chaotic Dynamics · Physics 2015-06-26 M. V. S. Bonanca , M. A. M. de Aguiar

We construct a solution for the $1d$ integro-differential stationary equation derived from a finite-volume version of the mesoscopic model proposed in [G. B. Giacomin, J. L. Lebowitz, "Phase segregation dynamics in particle system with long…

Mathematical Physics · Physics 2020-08-26 Roberto Boccagna

We focus on finding a coarse grained description able to reproduce the thermodynamic behavior of a molecular system by using mesoparticles representing several molecules. Interactions between mesoparticles are modelled by an interparticle…

Soft Condensed Matter · Physics 2015-06-17 Gerome Faure , Jean-Bernard Maillet , Gabriel Stoltz

A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived from microcanonical simulations of this model are found to be in agreement with…

Statistical Mechanics · Physics 2014-10-13 Xavier Leoncini , Alberto D. Verga , Stefano Ruffo

In this work we study the process of energy dissipation triggered by a slow large scale motion of a magnetized conducting fluid. Our consideration is motivated by the problem of heating the solar corona, which is believed to be governed by…

Solar and Stellar Astrophysics · Physics 2015-10-14 P. Pongkitiwanichakul , F. Cattaneo , S. Boldyrev , J. Mason , J. C. Perez

For a non-superconducting system, the electronic tunneling current through an insulating barrier is calculated, including interaction effects. The exact Hamiltonian of the full system is projected onto the subspaces of the "left" and…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Kelly R. Patton

We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It holds in an energy interval $I$ near the bottom of the…

Mathematical Physics · Physics 2018-05-09 Alexander Elgart , Abel Klein , Günter Stolz

We consider Glauber dynamics of classical spin systems of Ising type in the limit when the temperature tends to zero in finite volume. We show that information on the structure of the most profound minima and the connecting saddle points of…

Disordered Systems and Neural Networks · Physics 2015-06-24 Anton Bovier , Francesco Manzo

This paper summarises the results of our research on macroscopic entanglement in spin systems and free Bosonic gases. We explain how entanglement can be observed using entanglement witnesses which are themselves constructed within the…

Quantum Physics · Physics 2007-06-13 Janet Anders , Vlatko Vedral

After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

We study the energy level spacing of perturbed conformal minimal models in finite volume, considering perturbations of such models that are massive but not necessarily integrable. We compute their spectrum using a renormalization group…

Statistical Mechanics · Physics 2015-05-18 G. P. Brandino , R. M. Konik , G. Mussardo

When studying the thermodynamic properties of mesoscopic systems the most appropriate microcanonical entropy is the volume entropy, i.e. the logarithm of the volume of phase space enclosed by the hypersurface of constant energy. For systems…

Statistical Mechanics · Physics 2007-09-10 Michele Campisi

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth