Configurational-bias Monte Carlo has been incorporated into the Wang-Landau method. Although the Wang-Landau algorithm enables the calculation of the complete density of states, its applicability to continuous molecular systems has been limited to simple models. With the inclusion of more advanced sampling techniques, such as configurational-bias, the Wang-Landau method can be used to simulate complex chemical systems. The accuracy and efficiency of the method is assessed using as a test case systems of linear alkanes represented by a united-atom model. With strict convergence criteria, the density of states derived from the Wang-Landau algorithm yields the correct heat capacity when compared to conventional Boltzmann sampling simulations.
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http://dx.doi.org/10.1063/1.4766354 | DOI Listing |
Phys Rev E
October 2024
Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia.
The development of new algorithms for simulations in physics is as important as the development of new analytical methods. In this paper, we present a comparison of the recently developed microcanonical population annealing (MCPA) algorithm with the rather mature Wang-Landau algorithm. The comparison is performed on two cases of the Potts model that exhibit a first-order phase transition.
View Article and Find Full Text PDFPhys Rev E
August 2024
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Thermally activated particle motion in disorder potentials is controlled by the large-ΔV tail of the distribution of height ΔV of the potential barriers created by the disorder. We employ the optimal fluctuation method to evaluate this tail for correlated quenched Gaussian potentials in one dimension in the presence of a small bias of the potential. We focus on the mean escape time (MET) of overdamped particles averaged over the disorder.
View Article and Find Full Text PDFPhys Rev E
April 2024
Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia and HSE University, 101000 Moscow, Russia.
We present a modification of the Rose-Machta algorithm [N. Rose and J. Machta, Phys.
View Article and Find Full Text PDFJ Phys Chem B
December 2023
Materials Science & Engineering Department, Virginia Tech, Blacksburg, Virginia 24061, United States.
The steepest-entropy-ascent quantum thermodynamic (SEAQT) framework is utilized to study the effects of temperature on polymer brushes. The brushes are represented by a discrete energy spectrum, and energy degeneracies obtained through the replica-exchange Wang-Landau algorithm. The SEAQT equation of motion is applied to the density of states to establish a unique kinetic path from an initial thermodynamic state to a stable equilibrium state.
View Article and Find Full Text PDFPhys Rev E
September 2023
Physics Department, University of Trento, I-38123 Trento, Italy.
The thermal properties of coarse-grained knotted copolymer rings fluctuating in a highly screening solution are investigated on a simple cubic lattice using the Wang-Landau Monte Carlo algorithm. The rings contain two kinds of monomers A and B with opposite charges that are subjected to short-range interactions. In view of possible applications in medicine and the construction of intelligent materials, it is shown that the behavior of copolymer rings can be tuned by changing both their monomer configuration and topology.
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