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Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial…

统计力学 · 物理学 2009-10-31 B. Zheng , M. Schulz , S. Trimper

The Monte Carlo (MC) estimates of thermal averages are usually functions of system control parameters $\lambda $, such as temperature, volume, interaction couplings, etc. Given the MC average at a set of prescribed control parameters…

化学物理 · 物理学 2012-06-11 Sharif D. Kunikeev , Kwang S. Kim

We study the phase transition in SU(2)-Higgs model on the lattice using the 3D dimensionally reduced formalism. The 3D formalism enables us to obtain highly accurate Monte Carlo results, which we extrapolate both to the infinite volume and…

高能物理 - 格点 · 物理学 2009-10-28 K. Farakos , K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo J. Chem.…

其他凝聚态物理 · 物理学 2014-03-05 Fernando A. Reboredo , Jeongnim Kim

A revision of Stodolkiewicz's Monte Carlo code is used to simulate the evolution of million body star clusters. The new method treats each superstar as a single star and follows the evolution and motion of all individual stellar objects. A…

天体物理学 · 物理学 2009-11-11 Mirek Giersz

Monte Carlo algorithms are frequently used in atomistic simulations, including for computation of magnetic parameter temperature dependences in multiscale simulations. Even though parallelization strategies for Monte Carlo simulations of…

介观与纳米尺度物理 · 物理学 2021-09-15 Serban Lepadatu , George McKenzie , Tim Mercer , Callum Robert MacKinnon , Philip Raymond Bissell

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

统计力学 · 物理学 2018-12-24 Milan Žukovič

Molecular para-hydrogen has been proposed theoretically as a possible candidate for superfluidity, but the eventual superfluid transition is hindered by its crystallization. In this work, we study a metastable non crystalline phase of bulk…

其他凝聚态物理 · 物理学 2015-06-05 O. N. Osychenko , R. Rota , J. Boronat

A model for two-dimensional colloids confined laterally by "structured boundaries" (i.e., ones that impose a periodicity along the slit) is studied by Monte Carlo simulations. When the distance D between the confining walls is reduced at…

统计力学 · 物理学 2012-03-09 Dorothea Wilms , Nigel B. Wilding , Kurt Binder

Diagrammatic Monte Carlo -- the technique for numerically exact summation of all Feynman diagrams to high orders -- offers a unique unbiased probe of continuous phase transitions. Being formulated directly in the thermodynamic limit, the…

强关联电子 · 物理学 2022-09-07 Connor Lenihan , Aaram J. Kim , Fedor Šimkovic IV. , Evgeny Kozik

We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L=2048.We derive the finite size behaviour of…

统计力学 · 物理学 2009-11-11 Martin Hasenbusch

We investigate the thermal expansion of crystalline SiO$_2$ in the $\beta$-- cristobalite and the $\beta$-quartz structure with path integral Monte Carlo (PIMC) techniques. This simulation method allows to treat low-temperature quantum…

统计力学 · 物理学 2009-10-31 Chr. Rickwardt , P. Nielaba , M. H. Müser , K. Binder

We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the…

介观与纳米尺度物理 · 物理学 2016-12-08 Arata Yamamoto , Taro Kimura

Dynamical mean field theory and its cluster extensions provide a very useful approach for examining phase transitions in model Hamiltonians, and, in combination with electronic structure theory, constitute powerful methods to treat strongly…

强关联电子 · 物理学 2015-03-13 E. Khatami , C. R. Lee , Z. J. Bai , R. T. Scalettar , M. Jarrell

Monte Carlo simulations are performed to study the in-plane transport of spin-polarized electrons in III-V semiconductor quantum wells. The density matrix description of the spin polarization is incorporated in the simulation algorithm. The…

介观与纳米尺度物理 · 物理学 2010-09-22 Min Shen , Semion Saikin , Ming-C. Cheng , Vladimir Privman

The formation, growth, structure and cluster size distribution (CSD) properties in a two-dimensional system of particles interacting with Lennard-Jones (LJ) potential under controlled cooling condition have been studied using Monte-Carlo…

软凝聚态物质 · 物理学 2018-01-18 Barnana Pal

We present a novel hybrid computational method to simulate accurately dendritic solidification in the low undercooling limit where the dendrite tip radius is one or more orders of magnitude smaller than the characteristic spatial scale of…

材料科学 · 物理学 2009-10-31 Mathis Plapp , Alain Karma

The nature of freezing and melting transitions for a system of model colloids interacting by a DLVO potential in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling…

统计力学 · 物理学 2009-11-07 W. Strepp , S. Sengupta , P. Nielaba

We adopt the neural network flow (NN flow) method to study the Berezinskii-Kosterlitz-Thouless (BKT) phase transitions of the 2-dimensional q-state clock model with $q\ge 4$. The NN flow consists of a sequence of the same units to proceed…

无序系统与神经网络 · 物理学 2023-12-27 Kwai-Kong Ng , Ching-Yu Huang , Feng-Li Lin

A revision of Stodolkiewicz's Monte-Carlo code is used to simulate evolution of star clusters. The new method treats each superstar as a single star and follows the evolution and motion of all individual stellar objects. The first…

天体物理学 · 物理学 2009-10-30 Mirek Giersz