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We present a mechanism for thermalizing a moving particle by microscopic deterministic scattering. As an example, we consider the periodic Lorentz gas. We modify the collision rules by including energy transfer between particle and…

chao-dyn · 物理学 2009-10-31 R. Klages , K. Rateitschak , G. Nicolis

We extend the recently developed non-gaussian thermodynamic formalism \cite{tre98} of a (presumably strongly turbulent) non-Markovian medium to its most general form that allows for the formulation of a consistent thermodynamic theory. All…

空间物理 · 物理学 2009-10-31 R. A. Treumann

Polydisperse systems are commonly encountered when dealing with soft matter in general or any non simple fluid. Yet their treatment within the framework of statistical thermodynamics is a delicate task as the latter has been essentially…

统计力学 · 物理学 2015-06-22 Fabien Paillusson , Ignacio Pagonabarraga

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

统计力学 · 物理学 2016-03-15 A. G. Godizov , A. A. Godizov

Our recent study reveals that macroscopic structure in thermodynamically equilibrium state and its temperature dependence for classical discrete system can be well-characterized by a single specially-selected microscopic state (which we…

材料科学 · 物理学 2019-05-01 Koretaka Yuge , Shouno Ohta

The concept of autonomy is fundamental for understanding biological organization and the evolutionary transitions of living systems. Understanding how a system constitutes itself as an individual, cohesive, self-organized entity is a…

神经元与认知 · 定量生物学 2019-02-07 Miguel Aguilera , Ezequiel Di Paolo

We consider an isolated system in an arbitrary state and provide a general formulation using first principles for an additive and non-negative statistical quantity that is shown to reproduce the equilibrium thermodynamic entropy of the…

化学物理 · 物理学 2013-04-18 P. D. Gujrati

Mixed state ensembles such as the Bures-Hall and Hilbert-Schmidt measure are probability distributions that characterise the statistical properties of random density matrices and can be used to determine the typical features of mixed…

量子物理 · 物理学 2026-03-31 Harry J. D. Miller

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

统计力学 · 物理学 2015-05-14 J. M. Deutsch

The concept of temperature is one of the key ideas in describing the thermodynamical properties of a physical system. In classical statistical mechanics of ideal gases, the notion of temperature can be described in two different ways, the…

统计力学 · 物理学 2007-11-12 Krishna R. Narayanan , Arun R. Srinivasa

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

统计力学 · 物理学 2015-05-20 Andre M. C. Souza

Statistical thermodynamics has a universal appeal that extends beyond molecular systems, and yet, as its tools are being transplanted to fields outside physics, the fundamental question, \textit{what is thermodynamics?}, has remained…

统计力学 · 物理学 2019-09-17 Themis Matsoukas

Depending on the exact experimental conditions, the thermodynamic properties of physical systems can be related to one or more thermostatistical ensembles. Here, we survey the notion of thermodynamic temperature in different statistical…

统计力学 · 物理学 2016-05-05 Peter Hänggi , Stefan Hilbert , Jörn Dunkel

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary…

统计力学 · 物理学 2009-11-13 Sumiyoshi Abe , Christian Beck , E. G. D. Cohen

Based on quantum statistical mechanics and microscopic quantum dynamics, we prove Planck's and Kelvin's principles for macroscopic systems in a general and realistic setting. We consider a hybrid quantum system that consists of the…

统计力学 · 物理学 2016-05-04 Hal Tasaki

An information theoretic approach inspired by quantum statistical mechanics was recently proposed as a means to optimize network models and to assess their likelihood against synthetic and real-world networks. Importantly, this method does…

统计力学 · 物理学 2018-09-12 Carlo Nicolini , Vladimir Vlasov , Angelo Bifone

Information theory provides shortcuts which allow one to deal with complex systems. The basic idea one uses for this purpose is the maximum entropy principle developed by Jaynes. However, an extension of this maximum entropy principle to…

综合物理 · 物理学 2014-07-23 P. Fielitz , G. Borchardt

We discuss a Statistical Mechanics approach in the manner of Edwards to the ``inherent states'' (defined as the stable configurations in the potential energy landscape) of glassy systems and granular materials. We show that at stationarity…

统计力学 · 物理学 2009-11-07 Annalisa Fierro , Mario Nicodemi , Antonio Coniglio

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

统计金融 · 定量金融 2011-05-26 H. Quevedo , M. N. Quevedo

The development of stochastic thermodynamics during the last decades prompted the discovery of novel nonequilibrium relations refining our understanding of the second law in small fluctuating systems and its connection with information…

物理与社会 · 物理学 2025-11-19 Luis Irisarri , Lucas Trigal , Raúl Toral , Gonzalo Manzano
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