scholarly journals Zero-temperature glass transition in the two-dimensional gauge glass model

2004 ◽  
Vol 69 (18) ◽  
Author(s):  
Marios Nikolaou ◽  
Mats Wallin
Keyword(s):  
Glass Transition ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Glass Model ◽  
Gauge Glass

scholarly journals Dynamics of glass phases in the two-dimensional gauge glass model

2008 ◽  
Vol 78 (5) ◽  
Author(s):  
Qing-Hu Chen ◽  
Jian-Ping Lv ◽  
Huan Liu
Keyword(s):  
Two Dimensional ◽  
Glass Model ◽  
Gauge Glass

scholarly journals Spinning rough disc moving in a rarefied medium

2010 ◽  
Vol 466 (2119) ◽  
pp. 2033-2055 ◽  
Author(s):  
Alexander Plakhov ◽  
Tatiana Tchemisova ◽  
Paulo Gouveia
Keyword(s):  
The Body ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Optimal Mass Transport ◽  
Dense Gases ◽  
Magnus Effect ◽  
Inverse Effect ◽  
Transversal Force ◽  
The Moment ◽  
Complementary Mechanism

We study the Magnus effect: deflection of the trajectory of a spinning body moving in a gas. It is well known that in rarefied gases, the inverse Magnus effect takes place, which means that the transversal component of the force acting on the body has opposite signs in sparse and relatively dense gases. The existing works derive the inverse effect from non-elastic interaction of gas particles with the body. We propose another (complementary) mechanism of creating the transversal force owing to multiple collisions of particles in cavities of the body surface. We limit ourselves to the two-dimensional case of a rough disc moving through a zero-temperature medium on the plane, where reflections of the particles from the body are elastic and mutual interaction of the particles is neglected. We represent the force acting on the disc and the moment of this force as functionals depending on ‘shape of the roughness’, and determine the set of all admissible forces. The disc trajectory is determined for several simple cases. The study is made by means of billiard theory, Monge–Kantorovich optimal mass transport and by numerical methods.

Generalized Zero-Temperature Glauber Dynamics in a Two-Dimensional Square Lattice

2012 ◽  
Vol 29 (12) ◽  
pp. 120502
Author(s):  
Qing-Kuan Meng ◽  
Dong-Tai Feng ◽  
Xu-Tuan Gao ◽  
Yu-Xue Mei
Keyword(s):  
Glauber Dynamics ◽  
Square Lattice ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Generalized Zero

scholarly journals Zero-temperature coarsening in the two-dimensional long-range Ising model

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Henrik Christiansen ◽  
Suman Majumder ◽  
Wolfhard Janke
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Two Dimensional ◽  
Zero Temperature

Observation of the Pinning-Induced Crystal-Hexatic-Glass Transition in Two-Dimensional Colloidal Suspensions

2021 ◽  
Vol 38 (10) ◽  
pp. 106101
Author(s):  
Xiaoyan Sun ◽  
Huaguang Wang ◽  
Hao Feng ◽  
Zexin Zhang ◽  
Yuqiang Ma
Keyword(s):  
Glass Transition ◽  
Colloidal Suspensions ◽  
Two Dimensional ◽  
Colloidal Systems ◽  
Fundamental Understanding ◽  
New Strategy ◽  
Glassy Materials ◽  
Colloidal Glass ◽  
Orientational Correlation

Identification of the glass formation process in various conditions is of importance for fundamental understanding of the mechanism of glass transitions as well as for developments and applications of glassy materials. We investigate the role of pinning in driving the transformation of crystal into glass in two-dimensional colloidal suspensions of monodisperse microspheres. The pinning is produced by immobilizing a fraction of microspheres on the substrate of sample cells where the mobile microspheres sediment. Structurally, the crystal-hexatic-glass transition occurs with increasing the number fraction of pinning ρ pinning, and the orientational correlation exhibits a change from quasi-long-range to short-range order at ρ pinning = 0.02. Interestingly, the dynamics shows a non-monotonic change with increasing the fraction of pinning. This is due to the competition between the disorder that enhances the dynamics and the pinning that hinders the particle motions. Our work highlights the important role of the pinning on the colloidal glass transition, which not only provides a new strategy to prevent crystallization forming glass, but also is helpful for understanding of the vitrification in colloidal systems.

Crystal to Glass Transition and Melting in Two Dimensions

1993 ◽  
Vol 321 ◽  
Author(s):  
M. Li ◽  
W. L. Johnson ◽  
W. A. Goddard
Keyword(s):  
Glass Transition ◽  
Intermediate Phase ◽  
Orientational Order ◽  
Finite Size ◽  
Two Dimensions ◽  
Size Difference ◽  
Two Dimensional ◽  
Atomic Size ◽  
Bond Orientational Order ◽  
Dynamics Simulations

ABSTRACTThermodynamic properties, structures, defects and their configurations of a two-dimensional Lennard-Jones (LJ) system are investigated close to crystal to glass transition (CGT) via molecular dynamics simulations. The CGT is achieved by saturating the LJ binary arrays below glass transition temperature with one type of the atoms which has different atomic size from that of the host atoms. It was found that for a given atomic size difference larger than a critical value, the CGT proceeds with increasing solute concentrations in three stages, each of which is characterized by distinct behaviors of translational and bond-orientational order correlation functions. An intermediate phase which has a quasi-long range orientational order but short range translational order has been found to exist prior to the formation of the amorphous phase. The destabilization of crystallinity is observed to be directly related to defects. We examine these results in the context of two dimensional (2D) melting theory. Finite size effects on these results, in particular on the intermediate phase formation, are discussed.

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