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Using dynamic cluster quantum Monte Carlo simulations, we study the superconducting behavior of a 1/8 doped two-dimensional Hubbard model with imposed uni-directional stripe-like charge density wave modulation. We find a significant…

Superconductivity · Physics 2015-05-14 T. A. Maier , G. Alvarez , M. Summers , T. C. Schulthess

The nature of freezing and melting transitions for a system of hard disks in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling analysis of various thermodynamic…

Statistical Mechanics · Physics 2009-10-31 W. Strepp , S. Sengupta , P. Nielaba

We study a sequential Monte Carlo algorithm to sample from the Gibbs measure with a non-convex energy function at a low temperature. We use the practical and popular geometric annealing schedule, and use a Langevin diffusion at each…

Statistics Theory · Mathematics 2026-01-13 Ruiyu Han , Gautam Iyer , Dejan Slepčev

We report the results of Monte Carlo simulations on several spin glass models at low temperatures. By using the parallel tempering (Exchange Monte Carlo) technique we are able to equilibrate down to low temperatures, for moderate sizes, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Matteo Palassini , A. P. Young

We present a new method for investigating first-order phase transitions using Monte Carlo simulations. It relies on the multiple-histogram method and uses solely histograms of individual phases. In addition, we extend the method to include…

adap-org · Physics 2009-10-28 Martin Ebeling , Walter Nadler

We describe an MCMC method for sampling distributions with soft constraints, which are constraints that are almost but not exactly satisfied. We sample a total distribution that is a convex combination of the target soft distribution with…

Computation · Statistics 2022-10-24 Ildebrando Magnani

We propose and use a novel, hybrid Monte Carlo algorithm that combines configurational bias particle swaps with parallel tempering. We use this new method to simulate a standard model of a glass forming binary mixture above and below the…

Soft Condensed Matter · Physics 2009-11-11 Elijah Flenner , Grzegorz Szamel

The density relaxation phenomenon is modeled using both Monte Carlo and dissipative MD simulations to investigate the effects of regular taps applied to a vessel having a planar floor filled with monodisperse spheres. Results suggest the…

Disordered Systems and Neural Networks · Physics 2009-01-05 O. Dybenko , A. D. Rosato , D. J. Horntrop , V. Ratnaswamy , L. Kondic

Many problems in materials science and biology involve particles interacting with strong, short-ranged bonds, that can break and form on experimental timescales. Treating such bonds as constraints can significantly speed up sampling their…

Numerical Analysis · Mathematics 2020-12-02 Miranda Holmes-Cerfon

A new hybrid approach to air shower simulations is described. At highest energies, each particle is followed individually using the traditional Monte Carlo method; this initializes a system of cascade equations which are applicable for…

Astrophysics · Physics 2009-11-07 Hans-Joachim Drescher , Glennys R. Farrar

We present a new and general Monte Carlo iteration method for generalized ensembles. It consists of two elements: (1) a simple algorithm to distinguish between distributions arising from respectively equilibrium- and non-equilibrium…

Condensed Matter · Physics 2007-05-23 J. Borg

The dynamics of sheared inelastic-hard-sphere systems are studied using non-equilibrium molecular dynamics simulations and direct simulation Monte Carlo. In the molecular dynamics simulations Lees-Edwards boundary conditions are used to…

Other Condensed Matter · Physics 2013-09-30 Marcus N. Bannerman , Thomas E. Green , Paul Grassia , Leo Lue

This chapter is devoted to the computation of equilibrium (thermodynamic) properties of quantum systems. In particular, we will be interested in the situation where the interaction between particles is so strong that it cannot be treated as…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Alexei Filinov , Jens Böning , Michael Bonitz

Group-level behaviour of particles undergoing a velocity jump process with hard-sphere interactions is investigated. We derive $N$-particle transport equations that include the possibility of collisions between particles and apply different…

Computational Physics · Physics 2016-07-27 Benjamin Franz , Jake Taylor-King , Christian Yates , Radek Erban

We present a new efficient method for Monte Carlo simulations of diffusion-reaction processes. First introduced by us in [Phys. Rev. Lett., 97:230602, 2006], the new algorithm skips the traditional small diffusion hops and propagates the…

Materials Science · Physics 2013-05-29 T. Oppelstrup , V. V. Bulatov , A. Donev , M. H. Kalos , G. H. Gilmer , B. Sadigh

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

Statistical Mechanics · Physics 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

For a wide class of applications of the Monte Carlo method, we describe a general sampling methodology that is guaranteed to converge to a specified equilibrium distribution function. The method is distinct from that of Metropolis in that…

Statistical Mechanics · Physics 2009-10-31 Bruce M. Boghosian

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

Soft Condensed Matter · Physics 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky

The hard-disk problem, the statics and the dynamics of equal two-dimensional hard spheres in a periodic box, has had a profound influence on statistical and computational physics. Markov-chain Monte Carlo and molecular dynamics were first…

Statistical Mechanics · Physics 2014-02-10 Sebastian C. Kapfer , Werner Krauth

We present a novel, generally applicable Monte Carlo algorithm for the simulation of fluid systems. Geometric transformations are used to identify clusters of particles in such a manner that every cluster move is accepted, irrespective of…

Statistical Mechanics · Physics 2016-08-31 Jiwen Liu , Erik Luijten