Search Results - Stochastic methods applied to problems in equilibrium statistical mechanics
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Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
ISSN: 0021-9991, 1090-2716Published: Kidlington Elsevier Inc 01.04.2009Published in Journal of computational physics (01.04.2009)“… The method is based on symmetries of the Fourier transform of the collision integral, where the complexity in its computation is reduced to a separate integral over the unit sphere S d - 1…”
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Stochastic Gradient Descent-like relaxation is equivalent to Metropolis dynamics in discrete optimization and inference problems
ISSN: 2045-2322, 2045-2322Published: London Nature Publishing Group UK 21.05.2024Published in Scientific reports (21.05.2024)“…Is Stochastic Gradient Descent (SGD) substantially different from Metropolis Monte Carlo dynamics…”
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Advances in Rock Mechanics and Geotechnical Engineering: Volume II
ISBN: 9783036597744, 3036597751, 3036597743, 9783036597751Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023“… engineering, new laboratory testing, applied geology for construction, and novel geotechnical construction methods…”
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Advances in Rock Mechanics and Geotechnical Engineering: Volume I
ISBN: 3036597727, 9783036597720, 9783036597737, 3036597735Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023“… engineering, new laboratory testing, applied geology for construction, and novel geotechnical construction methods…”
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Ensembles of Atoms, Ensembles of Species: Comparative Statistical Mechanics
ISSN: 1099-4300, 1099-4300Published: Basel MDPI AG 30.05.2020Published in Entropy (Basel, Switzerland) (30.05.2020)“…; yet, the methods of statistical physics nonetheless seem applicable. This paper compares the application of statistical mechanics to the distribution of atoms and to the vastly different problem of distribution of cosmopolitan species…”
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Discussion of “An analytical probabilistic analysis of slopes based on limit equilibrium methods” by A. Johari, S. Mousavi. November 2018, DOI: https://doi.org/10.1007/s10064-018-1408-1
ISSN: 1435-9529, 1435-9537Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019Published in Bulletin of engineering geology and the environment (01.10.2019)“…The authors, having a long and abiding interest in analytical and numerical approaches to evaluate stability problems such as slope stability analysis in the stochastic soil mechanics discipline…”
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Luffing angular response field prediction of the DACS with narrowly random payload parameters based on a modified hybrid random method
ISSN: 0939-1533, 1432-0681Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018Published in Archive of applied mechanics (1991) (01.10.2018)“…Deterministic kinematic modeling and stochastic luffing angular response field prediction of the dual automobile cranes system (DACS…”
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Statistical homogenization of particulate composites within strain gradient elasticity
ISSN: 0001-5970, 1619-6937Published: Vienna Springer Vienna 01.12.2025Published in Acta mechanica (01.12.2025)“… strain gradient elasticity theory. The problem of finding the effective constants is reduced to a system of stochastic differential equations based on the fundamental equations of linear elasticity, which are solved by the method…”
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Fundamental aspects of quantum Brownian motion
ISSN: 1054-1500Published: United States 01.06.2005Published in Chaos (Woodbury, N.Y.) (01.06.2005)“…With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary nonequilibrium…”
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Efficient reliability analysis of slopes integrating the random field method and a Gaussian process regression‐based surrogate model
ISSN: 0363-9061, 1096-9853Published: Bognor Regis Wiley 01.03.2021Published in International Journal for Numerical and Analytical Methods in Geomechanics (01.03.2021)“… during slope stability evaluation. To address the problem of the low efficiency of direct Monte Carlo simulations and overcome the defects of the traditional response surface method, in this work, a novel probabilistic procedure…”
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Kawasaki dynamics beyond the uniqueness threshold: Kawasaki dynamics beyond the uniqueness threshold
ISSN: 0178-8051, 1432-2064Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2025Published in Probability theory and related fields (01.06.2025)“…Glauber dynamics of the Ising model on a random regular graph is known to mix fast below the tree uniqueness threshold and exponentially slowly above it. We…”
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A stochastic scaled boundary finite element method
ISSN: 0045-7825, 1879-2138Published: Elsevier B.V 15.08.2016Published in Computer methods in applied mechanics and engineering (15.08.2016)“…By extending the existing scaled boundary finite element method (SBFEM) into the random field problem, a stochastic scaled boundary finite element method (SSBFEM…”
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A dimension-reduced method of sensitivity analysis for stochastic user equilibrium assignment model
ISSN: 0307-904XPublished: Kidlington Elsevier Inc 01.02.2010Published in Applied mathematical modelling (01.02.2010)“…This paper gives a new dimension-reduced method of sensitivity analysis for perturbed stochastic user equilibrium assignment (SUEA…”
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Approximating Time to Extinction for Endemic Infection Models
ISSN: 1387-5841, 1573-7713Published: New York Springer US 01.12.2018Published in Methodology and computing in applied probability (01.12.2018)“…Approximating the time to extinction of infection is an important problem in infection modelling…”
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Stochastic subgrid-scale modelling for non-equilibrium geophysical flows
ISSN: 1364-503XPublished: England 13.01.2010Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (13.01.2010)“…Methods motivated by non-equilibrium statistical mechanics of turbulence are applied to solve an important practical problem in geophysical fluid dynamics, namely the parametrization of subgrid-scale…”
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Stochastic meshfree method for elasto-plastic damage analysis
ISSN: 0045-7825, 1879-2138Published: Kidlington Elsevier B.V 01.08.2010Published in Computer methods in applied mechanics and engineering (01.08.2010)“…This paper presents a stochastic meshfree method for solving boundary -value problems in damage mechanics under elasto -plastic conditions…”
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Non-Equilibrium Dynamics and Large Deviations in Stochastic Lattice Models via Tensor Networks
ISBN: 9798288894794Published: ProQuest Dissertations & Theses 01.01.2022“… Despite this success, their application to classical stochastic problems has not yet been extensively explored…”
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Multidimensional integration through Markovian sampling under steered function morphing: A physical guise from statistical mechanics
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.10.2015Published in Computer physics communications (01.10.2015)“… of Jarzynski’s equality applied in stochastic thermodynamics to evaluate the free-energy profiles along selected reaction coordinates via non-equilibrium transformations, it is possible to cast the original…”
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A Statistical Mechanic View of Macro-dynamics in Economics
ISSN: 0927-7099, 1572-9974Published: Boston Springer US 01.09.2008Published in Computational economics (01.09.2008)“…In this study, based on a statistical mechanic perspective, some technical insights for macroeconomic analysis are presented with regard to (1…”
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Accelerating equilibrium isotope effect calculations. II. Stochastic implementation of direct estimators
ISSN: 1089-7690, 1089-7690Published: 07.10.2019Published in The Journal of chemical physics (07.10.2019)“…Path integral calculations of equilibrium isotope effects and isotopic fractionation are expensive due to the presence of path integral discretization errors, statistical errors, and thermodynamic integration errors…”
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