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We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. We start by noticing the equivalence of their description through the…

Quantum Gases · Physics 2020-04-20 Stefan Beck , Igor E. Mazets , Thomas Schweigler

A new approach to quantum Markov processes is developed and the corresponding Fokker-Planck equation is derived. The latter is examined to reproduce known results from classical and quantum physics. It was also applied to the phase-space…

Quantum Physics · Physics 2015-05-13 R. Tsekov

We study steering in the framework of general probabilistic theories. We show that for dichotomic assemblages, steering can be characterized in terms of a certain tensor cross norm, which is also related to a steering degree given by…

Quantum Physics · Physics 2024-11-14 Anna Jenčová

In engineering, it is a common desire to couple existing simulation tools together into one big system by passing information from subsystems as parameters into the subsystems under influence. As executed at fixed time points, this data…

Numerical Analysis · Mathematics 2017-04-25 Thilo Moshagen

We study the dynamics of condensation for a stochastic continuous mass transport process defined on a one-dimensional lattice. Specifically we introduce three different variations of the truncated random average process. We generalize…

Statistical Mechanics · Physics 2017-07-27 Christos Christou , Andreas Schadschneider

A class of stochastic individual-based models, written in terms of coupled velocity jump processes, is presented and analysed. This modelling approach incorporates recent experimental findings on behaviour of locusts. It exhibits nontrivial…

Analysis of PDEs · Mathematics 2011-04-14 Radek Erban , Jan Haskovec

We give an explicit representation for the transition law of a tempered stable Ornstein-Uhlenbeck process and use it to develop a rejection sampling algorithm for exact simulation of increments from this process. Our results apply to…

Probability · Mathematics 2020-05-19 Michael Grabchak

We review and complete the existing literature on the kinetic theory of spatially homogeneous systems with long-range interactions taking collective effects into account. The evolution of the system as a whole is described by the…

Statistical Mechanics · Physics 2012-02-20 Pierre-Henri Chavanis

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

Statistical Mechanics · Physics 2012-04-16 Stephen Whitelam

The theory of hierarchical equations of motion (HEOM) is one of the standard methods to give exact evaluations of the dynamics as coupled to harmonic oscillator environments. However, the theory is numerically demanding due to its…

Chemical Physics · Physics 2022-05-31 Tatsushi Ikeda , Akira Nakayama

In bulk systems the calculation of the main thermodynamic quantities leads to the same expectation values in the thermodynamic limit, regardless of the choice of the statistical ensemble. Single linear molecules can be still regarded as…

Soft Condensed Matter · Physics 2013-05-29 M. Süzen , M. Sega , C. Holm

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

We study constraint satisfaction problems on the so-called 'planted' random ensemble. We show that for a certain class of problems, e.g. graph coloring, many of the properties of the usual random ensemble are quantitatively identical in the…

Statistical Mechanics · Physics 2009-06-13 Florent Krzakala , Lenka Zdeborová

This work deals with the stationary analysis of two-dimensional partially homogeneous nearest-neighbour random walks. Such type of random walks in the quarter plane are characterized by the fact that the one-step transition probabilities…

Networking and Internet Architecture · Computer Science 2019-07-11 Ioannis Dimitriou

The onset of collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied for phase dynamical models with arbitrary coupling; the effect of a stochastic temporal variation in the…

patt-sol · Physics 2008-02-03 John David Crawford , K. T. R. Davies

The second in a two-part series, this paper extends the 3rd-order Spectral Representation Method for simulation of ergodic multi-variate stochastic processes according to a prescribed cross power spectral density and cross bispectral…

Statistics Theory · Mathematics 2019-11-26 Lohit Vandanapu , Michael D. Shields

We investigate volume-element sampling strategies for the stochastic homogenization of particle-reinforced composites and show, via computational experiments, that an improper treatment of particles intersecting the boundary of the…

Computational Engineering, Finance, and Science · Computer Science 2021-03-16 Matti Schneider , Marc Josien , Felix Otto

We propose a unified, few-step generative modeling framework based on \emph{cumulative flow maps} for long-range transport in probability space, inspired by flow-map techniques for physical transport and dynamics. At its core is a…

Machine Learning · Computer Science 2026-05-06 Zhiqi Li , Duowen Chen , Yuchen Sun , Bo Zhu

We propose a new global optimization method ({\em Simulated Tempering}) for simulating effectively a system with a rough free energy landscape (i.e. many coexisting states) at finite non-zero temperature. This method is related to simulated…

High Energy Physics - Lattice · Physics 2010-12-17 Enzo Marinari , Giorgio Parisi