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In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MEP hypothesis…

Atmospheric and Oceanic Physics · Physics 2017-03-21 Corentin Herbert , Didier Paillard

Nonlinear feedbacks in the Earth System provide mechanisms that can prove very useful in understanding complex dynamics with relatively simple concepts. For example, the temperature and the ice cover of the planet are linked in a positive…

Atmospheric and Oceanic Physics · Physics 2015-05-27 Corentin Herbert , Didier Paillard , Bérengère Dubrulle

Earth's atmosphere is in a state far from thermodynamic equilibrium. For example, the large scale equator-to-pole temperature gradient is maintained by tropical heating, polar cooling, and a midlatitude meridional eddy heat flux…

Atmospheric and Oceanic Physics · Physics 2016-03-18 Philip Sura

The application of principles of thermodynamics and statistical mechanics to economic systems is considered in a broad historical perspective, extending from prehistoric times to the present day. The hypothesis of maximum entropy production…

Statistical Mechanics · Physics 2007-05-23 Alastair D. Jenkins

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the ``maximum entropy production'' (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses…

Populations and Evolution · Quantitative Biology 2009-08-25 Robert K. Niven

Amyloid filaments are associated with neurodegenerative diseases such as Alzheimer's and Parkinson's. Simplified models of amyloid aggregation are crucial because the original mass-action equations involve numerous variables, complicating…

Biological Physics · Physics 2024-09-11 Xinyu Zhang , Haiyang Jia , Wuyue Yang , Liangrong Peng , Liu Hong

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

Statistical Mechanics · Physics 2013-06-27 Gian Paolo Beretta

The maximum entropy principle (MEP) apparently allows us to derive, or justify, fundamental results of equilibrium statistical mechanics. Because of this, a school of thought considers the MEP as a powerful and elegant way to make…

Statistical Mechanics · Physics 2015-12-09 Gennaro Auletta , Lamberto Rondoni , Angelo Vulpiani

Research on the birth and evolution of life are reviewed with reference to the maximum entropy production principle (MEPP). It has been shown that this principle is essential for consistent understanding of the birth and evolution of life.…

Biological Physics · Physics 2025-04-22 Yasuji Sawada , Yasukazu Daigaku , Kenji Toma

Like any fluid heated from below, the atmosphere is subject to vertical instability which triggers convection. Convection occurs on small time and space scales, which makes it a challenging feature to include in climate models. Usually…

Atmospheric and Oceanic Physics · Physics 2015-06-12 Corentin Herbert , Didier Paillard

A maximum entropy-based framework is presented for the synthesis of projections from multiple Earth climate models. This identifies the most representative (most probable) model from a set of climate models -- as defined by specified…

Geophysics · Physics 2017-08-23 Robert K. Niven

In this article a classification of some proposed macroscopic entropy production (MEP) principles is given. With the help of simple electrical network models, at least six interesting and most used principles are distinguished: the least…

Statistical Mechanics · Physics 2007-05-23 Stijn Bruers

We establish Extended Thermodynamics (ET) of rarefied polyatomic gases with six independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting the near-equilibrium approximation. The…

Mathematical Physics · Physics 2015-04-23 Tommaso Ruggeri

There is ongoing interest in the global entropy production rate as a climate diagnostic and predictor, but progress has been limited by ambiguities in its definition; different conceptual boundaries of the climate system give rise to…

Atmospheric and Oceanic Physics · Physics 2020-10-28 Goodwin Gibbins , Joanna D. Haigh

We present a new outlook on the climate system thermodynamics, studying some of its macroscopic properties in terms of the 1st and 2nd laws of thermodynamics. We review and clarify the notion of efficiency of the climate system by…

Atmospheric and Oceanic Physics · Physics 2011-10-11 Valerio Lucarini

The maximum entropy production (MEP) principle is a hypothetical law of physics which dictates that complex systems, far from equilibrium, evolve into an ordered dissipative structure (DS) which generates as much entropy per second as…

Statistical Mechanics · Physics 2026-05-28 Albert Han , Jiri Kataman-Kustwan , Alexey Bezryadin

One-dimensional (vertical) models of planetary atmospheres typically balance the net solar and internal energy fluxes against the net thermal radiative and convective heat fluxes to determine an equilibrium thermal structure. Thus,simple…

Earth and Planetary Astrophysics · Physics 2019-04-17 Juan P. Tolento , Tyler D. Robinson

We introduce a novel Earth-like planet surface temperature model (ESTM) for habitability studies based on the spatial-temporal distribution of planetary surface temperatures. The ESTM adopts a surface Energy Balance Model complemented by:…

Earth and Planetary Astrophysics · Physics 2015-06-24 G. Vladilo , L. Silva , G. Murante , L. Filippi , A. Provenzale

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

Several Earth system components are at a high risk of undergoing rapid and irreversible qualitative changes or `tipping', due to increasing climate warming. Potential tipping elements include Arctic sea-ice, Atlantic meridional overturning…

Atmospheric and Oceanic Physics · Physics 2024-07-25 Parvathi Kooloth , Jian Lu , Craig Bakker , Derek DeSantis , Adam Rupe
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