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Variational methods are used to calculate structural and thermodynamical properties of a titrating polyelectrolyte in a discrete representation. The Coulomb interactions are emulated by harmonic repulsive forces, the force constants being…

chem-ph · 物理学 2008-02-03 B. Jönsson , M. Ullner , C. Peterson , O. Sommelius , B. Söderberg

A variational approach, based on a discrete representation of the chain, is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulomb potentials are approximated by a trial isotropic harmonic…

chem-ph · 物理学 2016-08-15 B. Jönsson , C. Peterson , B. Söderberg

We consider the thermodynamics of a uniformly charged polyelectrolyte with harmonic bonds. For such a system there is at high temperatures an approximate scaling of global properties like the end-to-end distance and the interaction energy…

chem-ph · 物理学 2016-08-15 Carsten Peterson , Ola Sommelius , Bo Söderberg

A variational approach is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulomb potentials are approximated by a trial isotropic harmonic energy containing monomer-monomer force constants…

高能物理 - 格点 · 物理学 2009-09-25 B. Jönsson , C. Peterson , B. Söderberg

We have developed a technique to accelerate the acquisition of effectively uncorrelated configurations for off-lattice models of dense polymer melts which makes use of both parallel tempering and large scale Monte Carlo moves. The method is…

软凝聚态物质 · 物理学 2009-10-31 Alex Bunker , Burkhard Duenweg

We use complete enumeration and Monte Carlo techniques to study self--avoiding walks with random nearest--neighbor interactions described by $v_0q_iq_j$, where $q_i=\pm1$ is a quenched sequence of ``charges'' on the chain. For equal numbers…

凝聚态物理 · 物理学 2009-10-22 Yacov Kantor , Mehran Kardar

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…

统计力学 · 物理学 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

We introduce a Monte-Carlo method that allows for the simulation of a polymeric phase containing a weak polyelectrolyte, which is coupled to a reservoir at a fixed pH, salt concentration and total concentration of a weak polyprotic acid.…

软凝聚态物质 · 物理学 2023-07-12 David Beyer , Christian Holm

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…

介观与纳米尺度物理 · 物理学 2016-02-03 Alexei Filinov , Jens Böning , Michael Bonitz

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range.…

统计力学 · 物理学 2013-02-07 A. K. Murtazaev , M. A. Magomedov

Due to the complex characteristics of bottle-brush polymers, it became a challenge to develop an efficient algorithm for studying such macromolecules under various solvent conditions or some constraints in the space by using computer…

软凝聚态物质 · 物理学 2011-07-08 Hsiao-Ping Hsu

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…

凝聚态物理 · 物理学 2007-05-23 J. Borg

We present approximate algorithms for performing smoothing in a class of high-dimensional state-space models via sequential Monte Carlo methods ("particle filters"). In high dimensions, a prohibitively large number of Monte Carlo samples…

统计计算 · 统计学 2017-09-21 Axel Finke , Sumeetpal S. Singh

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…

数值分析 · 数学 2020-12-02 Miranda Holmes-Cerfon

To minimise systematic errors in Monte Carlo simulations of charged particles, long range electrostatic interactions have to be calculated accurately and efficiently. Standard approaches, such as Ewald summation or the naive application of…

计算物理 · 物理学 2021-02-24 William Robert Saunders , James Grant , Eike Hermann Müller

A recent reformulation [1] of the problem of Coulomb gases in the presence of a dynamical dielectric medium showed that finite temperature simulations of such systems can be accomplished on the basis of completely local Hamiltonians on a…

软凝聚态物质 · 物理学 2009-11-11 A. Duncan , R. D. Sedgewick

We present a novel Monte Carlo algorithm which enhances equilibrization of low-temperature simulations and allows sampling of configurations over a large range of energies. The method is based on a non-Boltzmann probability weight factor…

凝聚态物理 · 物理学 2009-10-30 Ulrich H. E. Hansmann , Yuko Okamoto

\textit{Ab initio} quantum Monte Carlo (QMC) methods in principle allow for the calculation of exact properties of correlated many-electron systems, but are in general limited to the simulation of a finite number of electrons $N$ in…

统计力学 · 物理学 2021-04-21 Tobias Dornheim , Jan Vorberger

Efficient sampling from ensembles of Hamiltonian cycles is critical for predicting the thermodynamic properties of compact polymers, with applications including modeling protein and RNA folding and designing soft materials. Although…

量子物理 · 物理学 2026-03-16 Davide Rattacaso , Daniel Jaschke , Antonio Trovato , Ilaria Siloi , Simone Montangero

A new Monte Carlo algorithm is introduced for the simulation of supercooled liquids and glass formers, and tested in two model glasses. The algorithm is shown to thermalize well below the Mode Coupling temperature and to outperform other…

统计力学 · 物理学 2009-05-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio
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