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Conventional Monte Carlo simulations are stochastic in the sense that the acceptance of a trial move is decided by comparing a computed acceptance probability with a random number, uniformly distributed between 0 and 1. Here we consider the…

Statistical Mechanics · Physics 2018-05-24 Daan Frenkel , K. Julian Schrenk , Stefano Martiniani

Hopping charge transport in amorphous semiconductors having spatially correlated exponential density of states has been considered. Average carrier velocity is exactly calculated for the quasi-equilibrium (nondispersive) transport regime.…

Disordered Systems and Neural Networks · Physics 2017-09-19 S. V. Novikov

We discuss a Monte Carlo Markov Chain (MCMC) procedure for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We show that an approach inspired by optimal transport allows us to bound…

Probability · Mathematics 2010-07-28 Lucas Gerin

Cell-free (CF) massive multiple-input-multiple-output (MIMO) has emerged as an alternative deployment for conventional cellular massive MIMO networks. Prior works relied on the strong assumption (quite idealized) that the APs are uniformly…

Information Theory · Computer Science 2020-10-27 Anastasios Papazafeiropoulos , Pandelis Kourtessis , Marco Di Renzo , Symeon Chatzinotas , John M. Senior

In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially distributed particle systems on a lattice. FS-KMC are…

Numerical Analysis · Mathematics 2012-08-07 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac

Multinucleon transfer mechanism in collision of ${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$ system is investigated in the framework of quantal transport description, based on the stochastic mean-field (SMF) theory. The SMF theory provides a…

Nuclear Theory · Physics 2023-08-02 S. Ayik , M. Arik , E. Erbayri , O. Yilmaz , A. S. Umar

We consider a model of fragmentation of sheet by cracks that move with a velocity in preferred direction, but undergo random transverse displacements as they move. There is a non-zero probability of crack-splitting, and the split cracks…

Statistical Mechanics · Physics 2015-06-23 Deepak Dhar

In this work we propose a two-dimensional extension of a previously defined one-dimensional version of a model of counterflowing particles, which considers an adapted Fermi-Dirac distribution to describe the transition probabilities. In…

Soft Condensed Matter · Physics 2020-09-02 E. V. Stock , R. da Silva

The theory of Type~I migration has been widely used in many studies. Transiting multi-planet systems offer us the opportunity to examine the consistency between observation and theory, especially for those systems harbouring planets in Mean…

Earth and Planetary Astrophysics · Physics 2023-04-19 Shuo Huang , Chris Ormel

The swap Monte Carlo algorithm combines the translational motion with the exchange of particle species, and is unprecedentedly efficient for some models of glass former. In order to clarify the physics underlying this acceleration, we study…

Disordered Systems and Neural Networks · Physics 2017-12-29 Harukuni Ikeda , Francesco Zamponi , Atsushi Ikeda

In branched transportation problems mass has to be transported from a given initial distribution to a given final distribution, where the cost of the transport is proportional to the transport distance, but subadditive in the transported…

Optimization and Control · Mathematics 2018-05-30 Luca Alberto Davide Ferrari , Carolin Rossmanith , Benedikt Wirth

A class of generalized exclusion processes parametrized by the maximal occupancy, $k\geq 1$, is investigated. For these processes with symmetric nearest-neighbor hopping, we compute the diffusion coefficient and show that it is independent…

Statistical Mechanics · Physics 2014-11-14 Chikashi Arita , P. L. Krapivsky , Kirone Mallick

We study the statistics of multi-photon absorption/emission processes in a mesoscopic ring threaded by an harmonic time-dependent flux $\Phi(t)$. For this sake, we demonstrate a useful analogy between the Keldysh quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alessandro Silva , Vladimir E. Kravtsov

In piecewise-deterministic Markov processes (PDMPs) the state of a finite-dimensional system evolves continuously, but the evolutive equation may change randomly as a result of discrete switches. A running cost is integrated along the…

Optimization and Control · Mathematics 2023-02-27 Elliot Cartee , Antonio Farah , April Nellis , Jacob van Hook , Alexander Vladimirsky

We provide a complete thermodynamic solution of a 1D hopping model in the presence of a random potential by obtaining the density of states. Since the partition function is related to the density of states by a Laplace transform, the…

Quantitative Methods · Quantitative Biology 2009-11-13 Gelio Alves , Yi-Kuo Yu

Several algorithms have been used for mass transfer between particles undergoing advective and macro-dispersive random walks. The mass transfer between particles is required for general reactions on, and among, particles. The mass transfer…

Computational Physics · Physics 2018-05-10 Michael J. Schmidt , Stephen D. Pankavich , David A. Benson

We study a mass transport model on a ring with parallel update, where a continuous mass is randomly redistributed along distinct links of the lattice, choosing at random one of the two partitions at each time step. The redistribution…

Statistical Mechanics · Physics 2017-06-28 Jules Guioth , Éric Bertin

Morphologies of adsorbed molecular films are of interest in a wide range of applications. To study the epitaxial growth of these systems in computer simulations requires access to long time and length scales and one typically resorts to…

Materials Science · Physics 2021-07-07 William Janke , Thomas Speck

We study by computer simulation distribution functions (DF) of mesoscopic hopping conductance. The DFs obtained for one-dimensional systems were found to be quite close to the predictions of the theory by Raikh and Ruzin. For D=2, the DFs…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Liqun He , Eugene Kogan , Moshe Kaveh , Shlomo Havlin , Nehemia Schwartz

A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

Networking and Internet Architecture · Computer Science 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury
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