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This paper develops results for the next nearest neighbour Ising model on random graphs. Besides being an essential ingredient in classic models for frustrated systems, second neighbour interactions interactions arise naturally in several…

Statistical Mechanics · Physics 2013-09-17 Jack Raymond , K. Y. Michael Wong

In traditional thermodynamics, temperature is a local quantity: a subsystem of a large thermal system is in a thermal state at the same temperature as the original system. For strongly interacting systems, however, the locality of…

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

For arbitrary Ising-like models of any dimension and Hamiltonians with a finite support with all possible multispin interactions and boundary conditions with a shift, the exact value of the free energy in the thermodynamic limit is obtained…

Statistical Mechanics · Physics 2021-03-16 Pavel V. Khrapov

Activated transitions have rates that are often exponentially small in system size. Extracting the associated activation barriers is challenging in practice, especially in the deeply metastable regimes and in the presence of disorder. Here,…

Disordered Systems and Neural Networks · Physics 2026-04-21 Riccardo Cipolloni , Federico Ricci-Tersenghi , Francesco Zamponi

In this work we consider a superradiant phase transition problem for the Dicke-Ising model, which generalizes the Dicke and Ising models for annealed complex networks presuming spin-spin interaction. The model accounts the interaction…

Quantum Physics · Physics 2021-08-10 Andrei Yu. Bazhenov , Dmitriy V. Tsarev , Alexander P. Alodjants

The ground state and thermodynamics of a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins are calculated exactly using the mapping method based on the decoration-iteration…

Statistical Mechanics · Physics 2015-06-18 Bohdan Lisnyi , Jozef Strecka

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jon Machta

we investigate the thermodynamic properties of weakly anisotropic disordered magnetic chains where the nearest-neighbor Heisenberg exchange coupling is the dominant spin-spin interaction. In addition to the exchange interaction, there is…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Avgin , D. L. Huber

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

We discuss general thermodynamic properties of molecular structure formation processes like protein folding by means of simplified, coarse-grained models. The conformational transitions accompanying these processes exhibit similarities to…

Soft Condensed Matter · Physics 2011-07-04 Michael Bachmann

The thermodynamic properties of S>=1 ferromagnetic chains with an easy-axis single-ion anisotropy are investigated at arbitrary temperatures by both a Green-function approach, based on a decoupling of three-spin operator products, and by…

Strongly Correlated Electrons · Physics 2009-11-11 I. Juhász Junger , D. Ihle , J. Richter

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 G. A. P. Ribeiro , A. Klümper

Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J} model and its SU($K,1$) generalization with inverse-square exchange. The system at low temperature is described in terms of spinons, antispinons, holons and antiholons…

Condensed Matter · Physics 2009-10-28 Yoshio Kuramoto , Yusuke Kato

An efficient numerical approach to equilibrium properties of strongly coupled systems which include a subsystem of fermionic quantum particles and a subsystem of classical particles is presented. It uses an improved path integral…

Strongly Correlated Electrons · Physics 2017-08-23 V. S. Filinov , P. R. Levashov , V. E. Fortov , M. Bonitz

Statistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group…

Probability · Mathematics 2015-04-29 Farida Kachapova , Ilias Kachapov

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

Statistical Mechanics · Physics 2007-05-23 David Ford

Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain is studied. Using transfer-matrix method we found the behavior of the correlation function and zero-field susceptibility at the ferromagnetic-helical…

Statistical Mechanics · Physics 2010-07-27 D. V. Dmitriev , V. Ya. Krivnov

An exact description of integrable spin chains at finite temperature is provided using an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free…

Quantum Physics · Physics 2021-07-20 Michał Białończyk , Fernando Javier Gómez-Ruiz , Adolfo del Campo

A previously introduced real space renormalization-group treatment of the random transverse-field Ising spin chain is extended to provide detailed information on the distribution of the energy gap and the end-to-end correlation function for…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , A. P. Young