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We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems with sizes that make them accessible to numerical exact…

Statistical Mechanics · Physics 2023-04-05 Phillip C. Burke , Masudul Haque

Complex systems produce high-dimensional signals that lack macroscopic variables analogous to entropy, temperature, or free energy. This work introduces a thermoinformational formulation that derives entropy, internal energy, temperature,…

Neurons and Cognition · Quantitative Biology 2026-01-30 George-Rafael Domenikos , Victoria Leong

This paper presents a novel theoretical model to simulate the Unruh temperature by relating it to the critical temperature of multiple Bose-Einstein thermal baths. These thermal baths are conceptualized as snapshots of a Bose-Firework…

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

It is a long-standing challenge to accurately and efficiently compute thermodynamic quantities of many-body systems at thermal equilibrium. The conventional methods, e.g., Markov chain Monte Carlo, require many steps to equilibrate. The…

Statistical Mechanics · Physics 2025-12-10 Shuo-Hui Li , Yao-Wen Zhang , Ding Pan

It is by now well-known that ground states of gapped one-dimensional (1d) quantum-many body systems with short-range interactions can be studied efficiently using classical computers and matrix product state techniques. A corresponding…

Quantum Physics · Physics 2017-08-31 Thomas Barthel

Preparing finite temperature states in quantum simulators of spin systems, such as trapped ions or Rydberg atoms in optical tweezers, is challenging due to their almost perfect isolation from the environment. Here, we show how…

Quantum Physics · Physics 2024-12-03 Alexander Schuckert , Annabelle Bohrdt , Eleanor Crane , Michael Knap

We propose a novel component to the understanding of the temperature structure of galaxy clusters which does not rely on any heating or cooling mechanism. The new ingredient is the use of non-extensive thermo-statistics which is based on…

Astrophysics · Physics 2007-05-23 Steen H. Hansen

A key feature of non-equilibrium thermodynamics is the Markovian, deterministic relaxation of coarse observables such as, for example, the temperature difference between two macroscopic objects which evolves independently of almost all…

Quantum Physics · Physics 2014-04-08 Hendrik Niemeyer , Kristel Michielsen , Hans de Raedt , Jochen Gemmer

The zero-temperature XX chain is studied with emphasis on the properties of a block of $L$ spins inside the chain. We investigate the quantum fluctuations resulting from the entanglement of the block with the rest of the chain using…

Statistical Mechanics · Physics 2009-11-11 V. Eisler , O. Legeza , Z. Racz

We calculate the critical temperature of the Ising model on a set of graphs representing a concatenated three-bit error-correction code. The graphs are derived from the stabilizer formalism used in quantum error correction. The stabilizer…

Quantum Physics · Physics 2015-05-13 C. Ricardo Viteri , Yu Tomita , Kenneth R. Brown

This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this with alternative notions of the conditional mutual…

We present a thermodynamic theory for a generic population of $M$ individuals distributed into $N$ groups (clusters). We construct the ensemble of all distributions with fixed $M$ and $N$, introduce a selection functional that embodies the…

Populations and Evolution · Quantitative Biology 2014-08-19 Themis Matsoukas

Do negative absolute temperatures matter physics and specifically Statistical Physics? We provide evidence that we can certainly answer positively to this vexata quaestio. The great majority of models investigated by statistical mechanics…

Statistical Mechanics · Physics 2021-07-07 Marco Baldovin , Stefano Iubini , Roberto Livi , Angelo Vulpiani

Dynamical equations describing physical systems at statistical equilibrium are commonly extended by mathematical tools called "thermostats". These tools are designed for sampling ensembles of statistical mechanics. We propose a dynamic…

Data Analysis, Statistics and Probability · Physics 2018-01-17 A. Samoletov , B. Vasiev

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

Quantum Physics · Physics 2014-11-24 Vitalii Semin , Francesco Petruccione

In this work we present a formalism to describe non equilibrium conditions in systems with a discretized energy spectrum, such as quantum systems. We develop a formalism based on a combination of Gibbs-Shannon entropy and information…

Statistical Mechanics · Physics 2013-07-23 Alessio Gagliardi , Alessandro Pecchia , Aldo Di Carlo

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

Materials Science · Physics 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

The concept of effective temperatures in nonequilibrium systems is studied within an exactly solvable model of non-Markovian diffusion. The system is coupled to two heat baths which are kept at different temperatures: one ('fast') bath…

Statistical Mechanics · Physics 2009-11-11 Patrick Ilg , J. -L. Barrat
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