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A novel family of dynamical Monte Carlo algorithms for lattice polymers is proposed. Our central idea is to simulate an extended ensemble in which the self-avoiding condition is systematically weakened. The degree of the self-overlap is…

凝聚态物理 · 物理学 2009-10-31 Yukito Iba , George Chikenji , Macoto Kikuchi

Many problems in the geophysical sciences demand the ability to calibrate the parameters and predict the time evolution of complex dynamical models using sequentially-collected data. Here we introduce a general methodology for the joint…

统计计算 · 统计学 2018-12-12 Sara Pérez-Vieites , Inés P. Mariño , Joaquín Míguez

We introduce a general Monte Carlo scheme for achieving atomistic simulations with monoelectronic Hamiltonians including the thermalization of both nuclear and electronic degrees of freedom. The kinetic Monte Carlo algorithm is used to…

材料科学 · 物理学 2009-11-07 F. Calvo , F. Spiegelman

Tsallis has proposed a generalisation of the standard entropy, which has since been applied to a variety of physical systems. In the canonical ensemble approach that is mostly used, average energy is given by an unnromalised, or normalised,…

统计力学 · 物理学 2009-10-31 S. Kalyana Rama

The classical Langevin Monte Carlo method looks for samples from a target distribution by descending the samples along the gradient of the target distribution. The method enjoys a fast convergence rate. However, the numerical cost is…

机器学习 · 统计学 2025-03-07 Zhiyan Ding , Qin Li

The phenomenon of solidification of a substance from its liquid phase is of the greatest practical and theoretical importance, and atomistic simulations can provide precious information towards its understanding and control. Unfortunately,…

软凝聚态物质 · 物理学 2021-03-25 Tarak Karmakar , Michele Invernizzi , Valerio Rizzi , Michele Parrinello

Monte Carlo computer simulations are virtually the only way to analyze the thermodynamic behavior of a system in a precise way. However, the various existing methods exhibit extreme differences in their efficiency, depending on model…

统计力学 · 物理学 2011-07-05 Michael Bachmann

In recent years dynamical systems (of deterministic and stochastic nature), describing many models in mathematics, physics, engineering and finances, become more and more complex. Numerical analysis narrowed only to deterministic algorithms…

数值分析 · 数学 2024-02-13 Paweł Przybyłowicz

Calculating thermodynamic potentials and observables efficiently and accurately is key for the application of statistical mechanics simulations to materials science. However, naive Monte Carlo approaches, on which such calculations are…

统计力学 · 物理学 2021-07-15 James Damewood , Daniel Schwalbe-Koda , Rafael Gomez-Bombarelli

A general formalism is developed for constructing modified Hamiltonian dynamical systems which preserve a canonical equilibrium distribution by adding a time evolution equation for a single additional thermostat variable. When such systems…

统计力学 · 物理学 2015-12-09 John D. Ramshaw

We compare a few variants of the recently proposed multicanonical method with the well known simulated annealing for the effectiveness in search of the energy global minimum of a biomolecular system. For this we study in detail…

chem-ph · 物理学 2009-10-22 Ulrich H. E. Hansmann , Yuko Okamoto

Recently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full…

量子物理 · 物理学 2007-09-24 Heinz-Peter Breuer , Bassano Vacchini

When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon…

计算物理 · 物理学 2014-08-08 David A. Sivak , John D. Chodera , Gavin E. Crooks

The Generalised Langevin Equation (GLE) method, as developed in Ref. [Phys. Rev. B 89, 134303 (2014)], is used to calculate the dissipative dynamics of systems described at the atomic level. The GLE scheme goes beyond the commonly used…

统计力学 · 物理学 2015-01-06 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

The quantum nature of nuclei plays an important role in the accurate modelling of light atoms such as hydrogen, but it is often neglected in simulations due to the high computational overhead involved. It has recently been shown that…

计算物理 · 物理学 2012-02-21 Michele Ceriotti , David E. Manolopoulos , Michele Parrinello

Stochastic Langevin dynamics has been traditionally used as a tool to describe non-equilibrium processes. When utilized in systems with collective modes, traditional Langevin dynamics relaxes all modes indiscriminately, regardless of their…

统计力学 · 物理学 2018-06-06 A. Tamm , M. Caro , A. Caro , G. Samolyuk , M. Klintenberg , A. A. Correa

The authors present a new molecular dynamics algorithm for sampling the isothermal-isobaric ensemble. In this approach the velocities of all particles and volume degrees of freedom are rescaled by a properly chosen random factor. The…

统计力学 · 物理学 2009-03-10 Giovanni Bussi , Tatyana Zykova-Timan , Michele Parrinello

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

统计力学 · 物理学 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

We present a method to facilitate Monte Carlo simulations in the grand canonical ensemble given a target mean particle number. The method imposes a fictitious dynamics on the chemical potential, to be run concurrently with the Monte Carlo…

A Monte Carlo method for dynamics simulation of all-atom protein models is introduced, to reach long times not accessible to conventional molecular dynamics. The considered degrees of freedom are the dihedrals at C$_\alpha$-atoms. Two Monte…

chem-ph · 物理学 2009-10-28 Daniel Hoffmann , Ernst-Walter Knapp