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      Computation of extreme heat waves in climate models using a large deviation algorithm

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      Proceedings of the National Academy of Sciences
      Proceedings of the National Academy of Sciences

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          Abstract

          <p id="d10096986e202">We propose an algorithm to sample rare events in climate models with a computational cost from 100 to 1,000 times less than direct sampling of the model. Applied to the study of extreme heat waves, we estimate the probability of events that cannot be studied otherwise because they are too rare, and we get a huge ensemble of realizations of an extreme event. Using these results, we describe the teleconnection pattern for the extreme European heat waves. This method should change the paradigm for the study of extreme events in climate models: It will allow us to study extremes with higher-complexity models, to make intermodel comparison easier, and to study the dynamics of extreme events with unprecedented statistics. </p><p class="first" id="d10096986e205">Studying extreme events and how they evolve in a changing climate is one of the most important current scientific challenges. Starting from complex climate models, a key difficulty is to be able to run long enough simulations to observe those extremely rare events. In physics, chemistry, and biology, rare event algorithms have recently been developed to compute probabilities of events that cannot be observed in direct numerical simulations. Here we propose such an algorithm, specifically designed for extreme heat or cold waves, based on statistical physics. This approach gives an improvement of more than two orders of magnitude in the sampling efficiency. We describe the dynamics of events that would not be observed otherwise. We show that European extreme heat waves are related to a global teleconnection pattern involving North America and Asia. This tool opens up a wide range of possible studies to quantitatively assess the impact of climate change. </p>

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          Consistent geographical patterns of changes in high-impact European heatwaves

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            Enhancement of Protein Crystal Nucleation by Critical Density Fluctuations

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              Is Open Access

              The large deviation approach to statistical mechanics

              The theory of large deviations is concerned with the exponential decay of probabilities of large fluctuations in random systems. These probabilities are important in many fields of study, including statistics, finance, and engineering, as they often yield valuable information about the large fluctuations of a random system around its most probable state or trajectory. In the context of equilibrium statistical mechanics, the theory of large deviations provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of fluctuations. This review explores this and other connections between large deviation theory and statistical mechanics, in an effort to show that the mathematical language of statistical mechanics is the language of large deviation theory. The first part of the review presents the basics of large deviation theory, and works out many of its classical applications related to sums of random variables and Markov processes. The second part goes through many problems and results of statistical mechanics, and shows how these can be formulated and derived within the context of large deviation theory. The problems and results treated cover a wide range of physical systems, including equilibrium many-particle systems, noise-perturbed dynamics, nonequilibrium systems, as well as multifractals, disordered systems, and chaotic systems. This review also covers many fundamental aspects of statistical mechanics, such as the derivation of variational principles characterizing equilibrium and nonequilibrium states, the breaking of the Legendre transform for nonconcave entropies, and the characterization of nonequilibrium fluctuations through fluctuation relations.

                Author and article information

                Journal
                Proceedings of the National Academy of Sciences
                Proc Natl Acad Sci USA
                Proceedings of the National Academy of Sciences
                0027-8424
                1091-6490
                January 02 2018
                January 02 2018
                January 02 2018
                December 19 2017
                : 115
                : 1
                : 24-29
                Article
                10.1073/pnas.1712645115
                5776802
                29259112
                20009455-c3f8-4deb-8fb5-660ed545ebdf
                © 2017
                History

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