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Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

Statistical Mechanics · Physics 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

Deterministic rate equations are widely used in the study of stochastic, interacting particles systems. This approach assumes that the inherent noise, associated with the discreteness of the elementary constituents, may be neglected when…

Statistical Mechanics · Physics 2012-01-26 David A. Kessler , Nadav M. Shnerb

In this paper we examine the behavior in temperature of the free energy on quantum systems in an arbitrary number of dimensions. We define from the free energy a function $C$ of the coupling constants and the temperature, which in the…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

Topographical and diffuse interface reconfigurations occur with a change in the solidification rate. In this article we pursue the hypothesis that the interface configuration during solidification is determined by the rate of entropy…

Materials Science · Physics 2017-02-14 Yaw Delali Bensah , J. A. Sekhar

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

In this expository paper, which covers material presented at the NATO Advanced Study Institute "Nonlinear Analysis, Differential Equations, and Control" (Montreal, Jul/Aug 1998), we deal with several questions related to stability and…

Optimization and Control · Mathematics 2007-05-23 Eduardo D. Sontag

The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a…

Computational Physics · Physics 2009-11-11 P. M. C. de Oliveira , C. M. Newman , V. Sidoravicious , D. L. Stein

Electronic resonances are metastable states that can decay by electron loss. They are ubiquitous across various fields of science, such as chemistry, physics, and biology. However, current theoretical and computational models for resonances…

Chemical Physics · Physics 2025-04-15 Yann Damour , Anthony Scemama , Fábris Kossoski , Pierre-François Loos

In this paper, we examine the fundamental performance limitations in the control of stochastic dynamical systems; more specifically, we derive generic $\mathcal{L}_p$ bounds that hold for any causal (stabilizing) controllers and any…

Systems and Control · Electrical Eng. & Systems 2021-06-07 Song Fang , Quanyan Zhu

Two-dimensional $CP^{N-1}$ models are investigated by Monte Carlo methods on the lattice, for values of $N$ ranging from 2 to 21. Scaling and rotation invariance are studied by comparing different definitions of correlation length $\xi$.…

High Energy Physics - Lattice · Physics 2009-10-22 Massimo Campostrini , Paolo Rossi , Ettore Vicari

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

Information Theory · Computer Science 2010-10-13 Maxim Raginsky

A few paradigmatic one-dimensional lattice-statistical spin models have recently attracted a vigorous scientific interest owing to their peculiar thermodynamic behavior, which is highly reminiscent of a temperature-driven phase transition.…

Statistical Mechanics · Physics 2020-08-17 Jozef Strecka

This paper studies a feedback driven configuration tuning framework for adaptive sensing feedback in Integrated Sensing and Communication (ISAC) systems. We propose a framework in which the User Equipment (UE) adapts sensing parameters…

Dynamics of Ising models is a much studied phenomenon and has emerged as a rich field of present-day research. An important dynamical feature commonly studied is the quenching phenomenon below the critical temperature. In this thesis we…

Statistical Mechanics · Physics 2016-03-08 Soham Biswas

Complex events originate from other primitive events combined according to defined patterns and rules. Instead of using specialists' manual work to compose the model rules, we use machine learning (ML) to self-define these patterns and…

Machine Learning · Computer Science 2024-11-05 Maria J. P. Peixoto , Akramul Azim

Our recent study elucidate that information of density of states in configuration space (CDOS) for non-interacting system, characterized by spatial constraint on the system, plays essential role to determine thermodynamically equilibrium…

Disordered Systems and Neural Networks · Physics 2018-03-12 Tetyuya Taikei , Kazuhito Takeuchi , Koretaka Yuge

Climate response metrics are used to quantify the Earth's climate response to anthropogenic changes of atmospheric CO2. Equilibrium Climate Sensitivity (ECS) is one such metric that measures the equilibrium response to CO2 doubling.…

Atmospheric and Oceanic Physics · Physics 2023-01-11 Robbin Bastiaansen , Peter Ashwin , Anna S. von der Heydt

In this work, we study and evaluate the impact of a periodic spin-lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon…

Statistical Mechanics · Physics 2024-01-30 R. M. L. Nascimento , Claudio J. DaSilva , L. S. Ferreira , A. A. Caparica

High-entropy oxides (HEOs) offer a unique platform for exploring the thermodynamic interaction between configurational entropy and enthalpy in stabilizing complex solid solutions. In this study, a series of rock-salt structured oxides with…

Materials Science · Physics 2025-10-13 Ashutosh Kumar , Adrien Moll , Jitendra Kumar , Diana Dragoe , David Bérardan , Nita Dragoe

Pomeron resonances in AdS/QCD are here studied using the configurational entropy (CE). The concept of CE Regge trajectories, associating the CE of the pomeron resonances with both their spin $J^{PC}$ and to their mass spectra, is used to…

High Energy Physics - Theory · Physics 2022-04-08 D. Marinho Rodrigues , R. da Rocha