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This work contains two single-letter upper bounds on the entropy rate of a discrete-valued stationary stochastic process, which only depend on second-order statistics, and are primarily suitable for models which consist of relatively large…

Information Theory · Computer Science 2022-03-11 Ran Tamir

We propose two different approaches for introducing the information temperature of the binary N-th order Markov chains. The first approach is based on comparing the Markov sequences with the equilibrium Ising chains at given temperatures.…

Data Analysis, Statistics and Probability · Physics 2022-10-05 O. V. Usatenko , S. S. Melnyk , G. M. Pritula , V. A. Yampol'skii

Recently the 14 moments model of Extended Thermodynamics for dense gases and macromolecular fluids has been considered and an exact solution, of the restrictions imposed by the entropy principle and that of Galilean relativity, has been…

Mathematical Physics · Physics 2007-12-24 M. C. Carrisi , M. A. Mele , S. Pennisi

The notion of topological entropy can be conceptualized in terms of the number of forward trajectories that are distinguishable at resolution $\varepsilon$ within $T$ time units. It can then be formally defined as a limit of a limit…

Dynamical Systems · Mathematics 2017-08-15 Winfried Just , Ying Xin

We study whether it is possible to use high-$p_\perp$ data/theory to constrain the temperature dependence of the shear viscosity over entropy density ratio $\eta/s$ of the matter formed in ultrarelativistic heavy-ion collisions at the BNL…

High Energy Physics - Phenomenology · Physics 2023-11-14 Bithika Karmakar , Dusan Zigic , Igor Salom , Jussi Auvinen , Pasi Huovinen , Marko Djordjevic , Magdalena Djordjevic

Comprehensive magnetic-field-temperature ($H$-$T$) phase diagram of solid oxygen including the $\theta$ phase is discussed in the context of the ultrahigh-field measurement and the magnetocaloric effect (MCE) measurement. The problems…

Materials Science · Physics 2017-08-29 Toshihiro Nomura , Yasuhiro H. Matsuda , Tatsuo C. Kobayashi

A theory to predict the steady state position of a dissipative, flow-controlled system, as defined by a control volume, is developed based on the Maximum Entropy (MaxEnt) principle of Jaynes, involving minimisation of a generalised free…

Classical Physics · Physics 2015-05-13 Robert K. Niven

We propose a method to evaluate the entropy density and entropy flux in a vacuum gap between two half-spaces that takes into account influence of near-field effects, i.e., interference, diffraction, and tunneling of waves. The method…

Mesoscale and Nanoscale Physics · Physics 2013-08-21 Arvind Narayanaswamy , Yi Zheng

We introduce a low Mach number model for moist atmospheric flows that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a…

Atmospheric and Oceanic Physics · Physics 2015-05-08 Max Duarte , Ann Almgren , John Bell

Temperature is usually defined for physical systems at thermal equilibrium. Nevertheless one may wonder if it would be possible to attribute a meaningful notion of temperature to an arbitrary quantum state, beyond simply the thermal (Gibbs)…

Quantum Physics · Physics 2023-02-01 Patryk Lipka-Bartosik , Martí Perarnau-Llobet , Nicolas Brunner

Computer simulations have been employed in recent years to evaluate the configurational entropy changes in model glass-forming liquids. We consider two methods, both of which involve the calculation of the `intra-basin' entropy as a means…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

We demonstrate that the principle of maximum relative entropy (ME), used judiciously, can ease the specification of priors in model selection problems. The resulting effect is that models that make sharp predictions are disfavoured,…

Data Analysis, Statistics and Probability · Physics 2009-12-07 Brendon J. Brewer , Matthew J. Francis

In this work we discuss the measurement protocols for indirect determination of the isothermal entropy change associated with first order phase transitions in caloric materials. The magneto- structural phase transitions giving rise to giant…

Materials Science · Physics 2017-01-04 Luana Caron , Nguyen Ba Doan , Laurent Ranno

Complexity of two-level systems, e.g. spins, qubits, magnetic moments etc, are analysed based on the so-called correlational entropy in the case of pure quantum systems and the thermal entropy in case of thermal equilibrium that are…

Quantum Physics · Physics 2025-01-24 Imre Varga

Recent theoretical progress in nonequilibrium thermodynamics, linking the physical principle of Maximum Entropy Production ("MEP") to the information-theoretical "MaxEnt" principle of scientific inference, together with conjectures from…

History and Philosophy of Physics · Physics 2015-06-26 Peter Martin

Entropies are fundamental measures of uncertainty with central importance in information theory and statistics and applications across all the quantitative sciences. Under a natural set of operational axioms, the most general form of…

Information Theory · Computer Science 2026-02-02 Roberto Rubboli , Erkka Haapasalo , Marco Tomamichel

We build a comprehensive methodology for the fast computation of entropy across both solid and liquid phases. The proposed method utilizes a single trajectory of molecular dynamics (MD) to facilitate the calculation of entropy, which is…

Computational Physics · Physics 2024-04-05 Qi-Jun Hong , Zi-Kui Liu

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

Chaotic Dynamics · Physics 2020-11-16 Gabriele Vissio , Valerio Lucarini

Universal exact conditions guided the construction of most ground-state density functional approximations in use today. We derive the relation between the entropy and Mermin free energy density functionals for thermal density functional…

Chemical Physics · Physics 2016-05-25 Kieron Burke , Justin C. Smith , Paul E. Grabowski , Aurora Pribram-Jones

A careful reading of old articles puts Olivier Pauluis' criticisms concerning the definition of isentropic processes in terms of a potential temperature closely associated with the entropy of moist air, together with the third principle of…

Atmospheric and Oceanic Physics · Physics 2018-10-24 Pascal Marquet , Thibaut Dauhut