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In this paper we perform a careful analysis of the forced PP04 model for climate change, in particular the behaviour of the ice-ages. This system models the transition from a glacial to an inter-glacial state through a sudden release of…

Chaotic Dynamics · Physics 2020-05-19 Kgomotso S. Morupisi , Chris J. Budd

Climate change has become a significant global concern due to its capacity to cause substantial disruption to daily life by increasing the frequency and intensity of extreme weather events. Given the rising trend of human interventions in…

Applications · Statistics 2026-04-28 Ritik Roshan Giri , Arnab Hazra

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

Data Analysis, Statistics and Probability · Physics 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We provide a geometric perspective on the kinetic interaction of matter and radiation, based on a pair bracket approach. We discuss the interaction of kinetic theories via dissipative brackets, with our fundamental example being the…

Mathematical Physics · Physics 2025-04-08 Brian K. Tran , Joshua W. Burby , Ben S. Southworth

Rotation in planetary atmospheres plays an important role in regulating atmospheric and oceanic heat flow, cloud formation and precipitation. Using the Goddard Institute for Space Studies (GISS) three dimension General Circulation Model…

Earth and Planetary Astrophysics · Physics 2016-12-28 M. J. Way , A. D. Del Genio , M. Kelley , I. Aleinov , T. Clune

Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation is then used…

High Energy Physics - Theory · Physics 2017-04-05 Aslam Halder , Sunandan Gangopadhyay

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

The sensitivity of climate models to increasing CO2 concentration and the climate response at decadal time scales are still major factors of uncertainty for the assessment of the long and short term effects of anthropogenic climate change.…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Francesco Ragone , Valerio Lucarini , Frank Lunkeit

We revisit the quantum dynamics of a charged particle in a time-dependent magnetic field, a fundamental problem exhibiting rich non-adiabatic behaviour, from the complementary perspective of the Madelung fluid formulation. We first analyse…

Quantum Physics · Physics 2026-04-15 Nicolas Perez , Eyal Heifetz

Environmental problems are receiving increasing attention in socio-economic and health studies. This in turn fosters advances in recording and data collection of many related real-life processes. Available tools for data processing are…

Methodology · Statistics 2022-02-08 Alexander Gleim , Nazarii Salish

Low-order climate models can play an important role in understanding low-frequency variability in the atmospheric circulation and how forcing consistent with anthropogenic climate change may affect this variability. Here, we study a…

Geophysics · Physics 2025-02-04 Bernardo Maraldi , Henk Dijkstra , Michael Ghil

The second law of thermodynamics implies a relationship between the net entropy export by the Earth and its internal irreversible entropy production. The application of this constraint for the purpose of understanding Earth's climate is…

Atmospheric and Oceanic Physics · Physics 2022-01-19 Martin S. Singh , Morgan E O'Neill

Recently, several events have shockingly impacted society, carrying tough consequences. However, not all individuals are similarly affected by shock events. Among other factors, the consequences can vary depending on the income class. In…

Physics and Society · Physics 2026-02-23 Marco Menale , Ana Jacinta Soares , Romina Travaglini

This paper introduces a one-dimensional NPZD-model developed to simulate biological activity in a turbulent ocean water column. The model consists of a system of coupled semilinear parabolic equations. An initial-boundary value problem is…

Analysis of PDEs · Mathematics 2010-07-26 Blaise Faugeras

This chapter is dedicated to the slow dynamics of the climate system, at time scales of one~thousand to one million years. We focus specifically on the phenomenon of ice ages that has characterised the slow evolution of climate over the…

Atmospheric and Oceanic Physics · Physics 2015-12-14 Michel Crucifix , Guillaume Lenoir , Takahito Mitsui

A new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate canonical momenta, the model is recast into a coupled…

Classical Physics · Physics 2020-10-07 Andrea Brugnoli , Daniel Alazar , Valérie Pommier-Budinger , Denis Matignon

This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the…

Analysis of PDEs · Mathematics 2025-10-29 Gianmarco Del Sarto , Matthias Hieber , Tarek Zöchling

We investigate the impact on convective numerical simulations of thermo-compositional diabatic processes. We focus our study on simulations with a stabilizing temperature gradient and a destabilizing mean-molecular weight gradient. We aim…

Earth and Planetary Astrophysics · Physics 2021-09-08 Simon Daley-Yates , Thomas Padioleau , Pascal Tremblin , Pierre Kestener , Martial Mancip

In this paper, we survey recent econometric contributions to measure the relationship between economic activity and climate change. Due to the critical relevance of these effects for the well-being of future generations, there is an…

Econometrics · Economics 2022-06-16 Aránzazu de Juan , Pilar Poncela , Vladimir Rodríguez-Caballero , Esther Ruiz