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Wholesale electricity markets are increasingly integrated via high voltage interconnectors, and inter-regional trade in electricity is growing. To model this, we consider a spatial equilibrium model of price formation, where constraints on…

Econometrics · Economics 2018-04-24 Michael Stanley Smith , Thomas S. Shively

Statistical mechanics is a powerful framework for analyzing optimization yielding analytical results for matching, optimal transport, and other combinatorial problems. However, these methods typically target the zero-temperature limit,…

Statistical Mechanics · Physics 2026-02-18 Riccardo Piombo , Lorenzo Buffa , Dario Mazzilli , Aurelio Patelli

A self-consistent thermodynamic model of metallic system is presented. The expression for the Gibbs energy is derived, which incorporates elastic (static) energy, vibrational energy within the Debye model, and electronic part in Hartee-Fock…

Statistical Mechanics · Physics 2014-07-25 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

In a closed economic system, money is conserved. Thus, by analogy with energy, the equilibrium probability distribution of money must follow the exponential Gibbs law characterized by an effective temperature equal to the average amount of…

Statistical Mechanics · Physics 2009-02-25 Adrian Dragulescu , Victor M. Yakovenko

The Ghil-Sellers energy balance model of Earth's climate, features -- for a considerable range of the solar intensity -- two stable climate states (a warm and a cold snowball Earth), where the bistability results from the celebrated…

Atmospheric and Oceanic Physics · Physics 2015-05-20 Tamas Bodai , Valerio Lucarini , Frank Lunkeit , Robert Boschi

Models for spin systems, known from statistical physics, are applied analogously in econometrics in the form of agent-based models. The models discussed in the econophysics literature all use the state variable $T$, which, in physics,…

Statistical Finance · Quantitative Finance 2026-03-10 Christoph J. Börner , Ingo Hoffmann

We study the thermalization properties of a fully nonlinear lattice model originally derived from the two-dimensional cubic defocusing nonlinear Schr\"odinger equation (NLS) using analytical and numerical methods. Our analysis reveals both…

Statistical Mechanics · Physics 2026-02-20 Yagmur Kati , Aleksandra Maluckov , Ana Mancic , Panayotis Kevrekidis

We show that, in warm inflation, the nearly constant Hubble rate and temperature lead to an adiabatic evolution of the number density of particles interacting with the thermal bath, even if thermal equilibrium cannot be maintained. In this…

High Energy Physics - Phenomenology · Physics 2018-02-20 Mar Bastero-Gil , Arjun Berera , Rudnei O. Ramos , Joao G. Rosa

We present an ab-initio study of the temperature dependent elastic constants of BAs, a semiconductor that exhibits ultra-high thermal conductivity and is under investigation for thermal management in electronics. We test the consistency of…

Materials Science · Physics 2020-07-15 Cristiano Malica , Andrea Dal Corso

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

Social and Information Networks · Computer Science 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda

We study the competitive equilibrium of large random economies with linear activities using methods of statistical mechanics. We focus on economies with $C$ commodities, $N$ firms, each running a randomly drawn linear technology, and one…

Statistical Mechanics · Physics 2008-12-10 A. De Martino , M. Marsili , I. Pérez Castillo

We evaluate the transport properties such as shear viscosity ($\eta$), bulk viscosity ($\zeta$) and their ratios over entropy density ($s$) for hadronic matter using relativistic non-extensive Boltzmann transport equation (NBTE) in…

High Energy Physics - Phenomenology · Physics 2018-11-21 Swatantra Kumar Tiwari , Sushanta Tripathy , Raghunath Sahoo , Nilotpal Kakati

Superstatistics is a framework in nonequilibrium statistical mechanics that successfully describes a wide variety of complex systems, including hydrodynamic turbulence, weakly-collisional plasmas, cosmic rays, power grid fluctuations, among…

Statistical Mechanics · Physics 2020-01-29 Sergio Davis

This paper proposes a two-step framework for techno-economic analysis of a demand-side flexibility service in distribution networks. Step one applies optimization-based modelling to propose a generic problem formulation which determines the…

Systems and Control · Electrical Eng. & Systems 2022-01-10 Timur Sayfutdinov , Charalampos Patsios , David Greenwood , Meltem Peker , Ilias Sarantakos

The COVID-19 pandemic triggered a question of how to measure and evaluate adequacy of the applied restrictions. Available studies propose various methods mainly grouped to statistical and machine learning techniques. The current paper joins…

Applications · Statistics 2022-11-23 Juri Belikov , Jaan Kalda

Many popular sports involve matches between two teams or players where each team have the possibility of scoring points throughout the match. While the overall match winner and result is interesting, it conveys little information about the…

Applications · Statistics 2020-12-23 Claus Thorn Ekstrøm , Andreas Kryger Jensen

The thermodynamic properties for three different types of off-lattice four-strand beta-sheet protein models interacting via a hybrid Go-type potential have been investigated. Discontinuous molecular dynamic simulations have been performed…

Biological Physics · Physics 2009-11-07 Hyunbum Jang , Carol K. Hall , Yaoqi Zhou

Recently, new thermodynamic inequalities have been obtained, which set bounds on the quadratic fluctuations of intensive observables of statistical mechanical systems in terms of the Bogoliubov - Duhamel inner product and some thermal…

Quantum Physics · Physics 2013-04-03 J. G. Brankov , N. S. Tonchev

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

In [SIAM J. Appl. Dyn. Sys., 12(4):2068--2092, 2013], Widiasih proposed and analyzed a deterministic one-dimensional Budyko-Sellers energy-balance model with a moving ice-line. In this paper, we extend this model to the stochastic setting…

Probability · Mathematics 2023-11-28 Ilya Pavlyukevich , Marian Ritsch