Melting transition of a network model in two dimensions

2000 ◽  
Vol 1 (2-3) ◽  
pp. 153-157 ◽  
Author(s):  
G. Gompper ◽  
D.M. Kroll
1999 ◽  
Vol 59 (3) ◽  
pp. 2659-2663 ◽  
Author(s):  
Juan J. Alonso ◽  
Julio F. Fernández

2004 ◽  
Vol 15 (01) ◽  
pp. 129-147 ◽  
Author(s):  
GUNTER DÖGE ◽  
KLAUS MECKE ◽  
JESPER MØLLER ◽  
DIETRICH STOYAN ◽  
RASMUS P. WAAGEPETERSEN

The melting transition of hard disks in two dimensions is still an unsolved problem and improved simulation algorithms may be helpful for its investigation. We suggest the application of simulating tempering for grand canonical hard-disk systems as an efficient alternative to the commonly-used Monte Carlo algorithms for canonical systems. This approach allows the direct study of the packing fraction as a function of the chemical potential even in the vicinity of the melting transition. Furthermore, estimates of several spatial characteristics including pair correlation function are studied in order to test the accuracy of the method and to analyze the melting transition in hard-disk systems. Our results seem to show that there is a weak first-order phase transition.


2000 ◽  
Vol 61 (5) ◽  
pp. 5223-5227 ◽  
Author(s):  
Martin A. Bates ◽  
Daan Frenkel

1996 ◽  
Vol 53 (4) ◽  
pp. 3794-3803 ◽  
Author(s):  
Ken Bagchi ◽  
Hans C. Andersen ◽  
William Swope

2020 ◽  
Vol 10 (23) ◽  
pp. 8746
Author(s):  
Changkyoung Eem ◽  
Hyunki Hong ◽  
Yoohun Noh

We introduce a deep-learning neural network model that uses electrocardiogram (ECG) data to predict coronary artery calcium scores, which can be useful for reliably detecting cardiovascular risk in patients. In our pre-processing method, each lead of the ECG is segmented into several waves with an interval, which is determined as the period from the starting point of a P-wave to the end point of a T-wave. The number of segmented waves of one lead represents the number of heartbeats of the subject per 10 s. The segmented waves of one cycle are transformed into normalized waves with an amplitude of 0–1. Owing to the use of eight-lead ECG waves, the input ECG dataset has two dimensions. We used a convolutional neural network with 16 layers and 5 fully connected layers, comprising a one-dimensional filter to examine the normalized wave of one lead, rather than a two-dimensional filter to examine the coherence among the unit waves of eight leads. The training and testing are repeated 10 times with a randomly assigned dataset (177,547 ECGs). Our network model achieves an average area under the receiver operating characteristic curve of 0.801–0.890, and the average accuracy is in the range of 72.9–80.6%.


1995 ◽  
Vol 75 (19) ◽  
pp. 3477-3480 ◽  
Author(s):  
Julio F. Fernández ◽  
Juan J. Alonso ◽  
Jolanta Stankiewicz

Sign in / Sign up

Export Citation Format

Share Document