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For thermal transport in one-dimensional (1D) systems, recent studies have suggested that employing different theoretical models and different numerical simulations under different system's parameter regimes might lead to different…

Statistical Mechanics · Physics 2016-02-01 Daxing Xiong

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

Statistical Mechanics · Physics 2010-10-07 Edan Lerner , Itamar Procaccia

The recently discovered universal scaling relation between the superconducting density and the transition temperature in high-temperature superconductors appears to indicate that those normal state carriers that are undergoing a…

Superconductivity · Physics 2007-05-23 A. Rosencwaig

We present a dynamic scaling theory to describe relaxation dynamics following a magnetic-field quench near an unconventional phase transition in the magnetic material spin ice. Starting from a microscopic model, we derive an effective…

Statistical Mechanics · Physics 2025-06-25 Stephen Powell , Sukla Pal

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our theory is based on recent mathematically rigorous results…

Statistical Mechanics · Physics 2026-03-02 Yucheng Liu , Jiwoon Park , Gordon Slade

In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

Materials Science · Physics 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold

We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial…

Statistical Mechanics · Physics 2022-12-02 Abhik Basu , Jayanta K Bhattacharjee

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model (RFIM) to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable.…

Disordered Systems and Neural Networks · Physics 2009-07-17 F. Salvat-Pujol , E. Vives , M. L. Rosinberg

Using a recently developed scaling procedure that allows to establish the temperature dependence of the normalized upper critical field from measurements of the equilibrium isothermal magnetization, we analyze experimental data obtained on…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle

We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

In this work we study the flow of holographic entanglement entropy in dimensions $d \geq 3$ in the gauge/gravity duality set up. We observe that a generalized entanglement temperature $T_g$ can be defined which gives the Hawking temperature…

High Energy Physics - Theory · Physics 2019-11-27 Ashis Saha , Sunandan Gangopadhyay , Jyoti Prasad Saha

Hysteresis and the non-equilibrium dynamic phase transition in thin magnetic films subject to an oscillatory external field have been studied by Monte Carlo simulation. The model under investigation is a classical Heisenberg spin system…

Statistical Mechanics · Physics 2009-10-31 Hyunbum Jang , Malcolm J Grimson

We address the system-size dependence of typical plastic flow events when an amorphous solid is put under a fixed external strain rate at a finite temperature. For system sizes that are accessible to numerical simulations at reasonable…

Statistical Mechanics · Physics 2015-05-13 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

Within the framework of Lorentz model for description of viscoelastic medium the influence of deformational defect of the shear modulus is studied on melting of ultrathin lubricant film confined between the atomically flat solid surfaces.…

Statistical Mechanics · Physics 2009-11-11 A. V. Khomenko , I. A. Lyashenko

Certain frustrated systems, including spin ice and dimer models, exhibit a Coulomb phase at low temperatures, with power-law correlations and fractionalized monopole excitations. Transitions out of this phase, at which the effective gauge…

Statistical Mechanics · Physics 2012-08-09 Stephen Powell

Energy landscape mappings are performed for two different molecular systems under mechanical loads. Barrier heights are observed to scale as $\Delta U\sim\delta^{3/2}$, where $\delta$ is a residual load. Catastrophe theory predicts that…

Materials Science · Physics 2009-11-11 Craig E. Maloney , Daniel J. Lacks

We demonstrate that conventional artificial deep neural networks operating near the phase boundary of the signal propagation dynamics, also known as the edge of chaos, exhibit universal scaling laws of absorbing phase transitions in…

Machine Learning · Statistics 2025-07-21 Keiichi Tamai , Tsuyoshi Okubo , Truong Vinh Truong Duy , Naotake Natori , Synge Todo

We discuss the scaling of the interaction energy with particle numbers for a harmonically trapped two-species mixture at thermal equilibrium experiencing interactions of arbitrary strength and range. In the limit of long-range interactions…

Statistical Mechanics · Physics 2019-02-12 Francisco Jauffred , Roberto Onofrio , Bala Sundaram