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We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 Vlad Elgart , Alex Kamenev

We apply principal component analysis to the study of event-by-event fluctuations in relativistic heavy-ion collisions. This method brings out all the information contained in two-particle correlations in a physically transparent way. We…

Nuclear Theory · Physics 2015-04-20 Rajeev S. Bhalerao , Jean-Yves Ollitrault , Subrata Pal , Derek Teaney

Event sequences can be modeled by temporal point processes (TPPs) to capture their asynchronous and probabilistic nature. We propose an intensity-free framework that directly models the point process distribution by utilizing normalizing…

Machine Learning · Computer Science 2019-12-24 Nazanin Mehrasa , Ruizhi Deng , Mohamed Osama Ahmed , Bo Chang , Jiawei He , Thibaut Durand , Marcus Brubaker , Greg Mori

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track…

Statistical Mechanics · Physics 2011-04-07 Anupam Kundu , Sanjib Sabhapandit , Abhishek Dhar

Usually, the transverse momentum distribution is described by a sum of an exponential decay term plus a decreasing power like contribution representing the soft non-perturbative and hard perturbative QCD collisions, respectively. In this…

High Energy Physics - Phenomenology · Physics 2022-12-20 C. Pajares , J. E. Ramírez

We focus on variational inference in dynamical systems where the discrete time transition function (or evolution rule) is modelled by a Gaussian process. The dominant approach so far has been to use a factorised posterior distribution,…

Machine Learning · Statistics 2018-12-17 Alessandro Davide Ialongo , Mark van der Wilk , James Hensman , Carl Edward Rasmussen

We complete our study of resummed event-shape distributions in DIS by presenting results for the class of observables that includes the current jet mass, the C-parameter and the thrust with respect to the current-hemisphere thrust axis. We…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mrinal Dasgupta , Gavin P. Salam

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

The recurrence times between extreme events have been the central point of statistical analyses in many different areas of science. Simultaneously, the Poincar\'e recurrence time has been extensively used to characterize nonlinear dynamical…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Eduardo G. Altmann , Holger Kantz

We generalize the method of Van Hove so as to deal with the case of non-ordinary statistical mechanics, that being phenomena with no time-scale separation. We show that in the case of ordinary statistical mechanics, even if the adoption of…

Condensed Matter · Physics 2009-10-31 P. Grigolini , A. Rocco , B. J. West

We consider dynamical systems evolving near an equilibrium statistical state where the interest is in modelling long term behavior that is consistent with thermodynamic constraints. We adjust the distribution using an entropy-optimizing…

Fluid Dynamics · Physics 2014-11-25 Keith Myerscough , Jason Frank , Benedict Leimkuhler

Projective measurements of a single two-level quantum mechanical system (a qubit) evolving under a time-independent Hamiltonian produce a probability distribution that is periodic in the evolution time. The period of this distribution is an…

Quantum Physics · Physics 2012-06-05 Christopher Ferrie , Christopher E. Granade , D. G. Cory

Thanks to the rise of wearable and connected devices, sensor-generated time series comprise a large and growing fraction of the world's data. Unfortunately, extracting value from this data can be challenging, since sensors report low-level…

Machine Learning · Statistics 2016-09-30 Davis W. Blalock , John V. Guttag

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

Applications · Statistics 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

High $p_T > 10$ GeV elliptic flow, which is experimentally measured via the correlation between soft and hard hadrons, receives competing contributions from event-by-event fluctuations of the low $p_T$ elliptic flow and event plane angle…

Nuclear Theory · Physics 2016-06-29 Jacquelyn Noronha-Hostler , Barbara Betz , Jorge Noronha , Miklos Gyulassy

Large scale simulations and analytical theory have been combined to obtain the non-equilibrium velocity distribution, $f(v)$, of randomly accelerated particles in suspension. The simulations are based on an event-driven algorithm,…

Statistical Mechanics · Physics 2013-09-09 Andrea Fiege , Benjamin Vollmayr-Lee , Annette Zippelius

We present a continuous time generalization of a random walk with complete memory of its history [Phys. Rev. E 70, 045101(R) (2004)] and derive exact expressions for the first four moments of the distribution of displacement when the number…

Statistical Mechanics · Physics 2007-05-23 Francis N. C. Paraan , J. P. Esguerra

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen

The aim of this paper is to analyze a class of random motions which models the motion of a particle on the real line with random velocity and subject to the action of the friction. The speed randomly changes when a Poissonian event occurs.…

Probability · Mathematics 2009-12-31 Alessandro De Gregorio

To make a statement about the nature and mechanism of fragmentation, it is necessary to probe directly any competition, or lack thereof, between the emission of various particle species as a function of excitation energy. The task is then…

Nuclear Experiment · Physics 2007-05-23 L. Beaulieu , L. Phair , L. G. Moretto , G. J. Wozniak