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We introduce a general method to merge multidimensional equations of state (EoSs) by combining them in a two-fluid equilibrium statistical mixture in the grand canonical ensemble. The merged grand potential density $\omega$ is built…

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

软凝聚态物质 · 物理学 2009-10-30 Elliott H. Lieb , Jakob Yngvason

This study presents a computational and theoretical framework inspired by thermodynamic principles to analyze the dynamics of economic inflation within adiabatic and non-adiabatic systems. In a framework referred to as developmental…

物理与社会 · 物理学 2025-10-21 İdris Demir , Ali İhsan Keskin

The Van der Waals equation (VdW-EoS) is a prototype equation of state for realistic systems, because it contains the excluded volume and the particle interactions. Additionally, the simulated annealing (and the similar simulated…

软凝聚态物质 · 物理学 2016-09-30 Peter Friedel

The standard formulation of thermostatistics, being based on the Boltzmann-Gibbs distribution and logarithmic Shannon entropy, describes idealized uncorrelated systems with extensive energies and short-range interactions. In this letter, we…

统计力学 · 物理学 2020-07-01 S. N. Saadatmand , Tim Gould , E. G. Cavalcanti , J. A. Vaccaro

We provide a characterization of energy in the form of exchanged heat and work between two interacting constituents of a closed, bipartite, correlated quantum system. By defining a binding energy we derive a consistent quantum formulation…

量子物理 · 物理学 2016-10-25 S. Alipour , F. Benatti , F. Bakhshinezhad , M. Afsary , S. Marcantoni , A. T. Rezakhani

In the framework of the KIDS generalized energy density functional (EDF), the nuclear equation of state (EoS) is expressed as an expansion in powers of the Fermi momentum or the cubic root of the density ($\rho^{1/3}$). Although an optimal…

核理论 · 物理学 2019-07-24 Hana Gil , Young-Min Kim , Chang Ho Hyun , Panagiota Papakonstantinou , Yongseok Oh

Observations of isolated neutron stars place constraints on the equation of state (EOS) of cold, neutron-rich matter, while nuclear physics experiments probe the EOS of hot, symmetric matter. Many dynamical phenomena, such as core-collapse…

高能天体物理现象 · 物理学 2019-04-17 Carolyn A. Raithel , Feryal Ozel , Dimitrios Psaltis

An individual's social group may be represented by their ego-network, formed by the links between the individual and their acquaintances. Ego-networks present an internal structure of increasingly large nested layers (or circles) of…

This paper develops a theory of competitive equilibrium with indivisible goods based entirely on economic conditions on demand. The key idea is to analyze complementarity and substitutability between bundles of goods, rather than merely…

理论经济学 · 经济学 2024-12-12 Ravi Jagadeesan , Alexander Teytelboym

One of the important parameters in cosmology is the parameter characterizing the equation of state (EoS) of the sources driving the cosmic expansion. Epochs that are dominated by radiation, matter, or scalar fields, whether they are probed…

宇宙学与河外天体物理 · 物理学 2020-11-16 Pankaj Saha , Sampurn Anand , L. Sriramkumar

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

统计力学 · 物理学 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

A thermodynamic phase transition denotes a drastic change of state of a physical system due to a continuous change of thermodynamic variables, as for instance pressure and temperature. The classical van der Waals equation of state is the…

数学物理 · 物理学 2015-06-16 Antonio Moro

This article derives prognostic expressions for the evolution of globally aggregated economic wealth, productivity, inflation, technological change, innovation and growth. The approach is to treat civilization as an open, non-equilibrium…

综合金融 · 定量金融 2015-02-03 Timothy J. Garrett

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described…

统计力学 · 物理学 2016-03-23 Razieh Pourhasan

We consider the main physical notions and phenomena described by the author in his mathematical theory of thermodynamics. The new mathematical model yields the equation of state for a wide class of classical gases consisting of non-polar…

综合物理 · 物理学 2018-09-07 V. P. Maslov

We propose a new analytical form of the quark-gluon plasma equation of state (EoS). This new EoS satisfies all qualitative features observed in the lattice QCD calculations and gives a good quantitative description of the lattice results in…

高能物理 - 唯象学 · 物理学 2011-06-15 Viktor V. Begun , Mark I. Gorenstein , Oleg A. Mogilevsky

This paper investigates the thermodynamic evolution of the universe within the framework of a quadratic equation of state (EoS). Building upon the basis of the quadratic EoS model, as a phenomenological extension to dark energy models, we…

宇宙学与河外天体物理 · 物理学 2025-10-28 A. Shahriar , M. Abbasiyan-Motlaq , M. Mohsenzadeh , E. Yusofi

We construct a new equation of state (EOS) for numerical simulations of core-collapse supernovae and neutron-star mergers based on an extended relativistic mean-field model with a small symmetry energy slope $L$, which is compatible with…

核理论 · 物理学 2020-03-17 Hong Shen , Fan Ji , Jinniu Hu , Kohsuke Sumiyoshi

We construct a hybrid equation of state (EoS) by smoothly interpolating the EoS in the hadron resonance gas at low temperatures to that in the ideal parton gas at high temperatures, and employ it to study the properties of the quantum…

高能物理 - 唯象学 · 物理学 2026-02-13 Zhi-Ying Qin , Bo Feng , Ya-Hui Hou , Hong-Yue Song , Wen-Chao Zhang , Hua Zheng , Shi-Jun Mao