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Journal : Jurnal Sains Dasar

Kajian efek Mpemba pada pendinginan air keran yang awalnya dipanaskan secara infinitesimal Founda Noviani, Elisabeth Pratidhina; Setiawan, Arif; Dwandaru, Wipsar Sunu Brams
Jurnal Sains Dasar Vol 2, No 2 (2013): October 2013
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jsd.v2i2.3291

Abstract

Abstract   The purpose of this research is to know whether in the cooling process of tap water that is initially heated infinitesimally follow the Mpemba effect or not. The sample that is used in this research is tap water from a uniform source. The control variables are freezer temperature, the content of water, volume of water, and type of water. Two variations are done on the sample, i.e. the water is initially heated infinitesimally and the water is not heated. Both samples are cooled together in a freezer. For some period of time their temperature is measured. The experiment is repeated nine times. Based on the analysis, water that is initially heated infinitesimally takes shorter time to reach zero centigrade than water that is initially unheated. The cooling graph of water that is initially heated infinitesimally intersects the cooling graph of water that is initially unheated. The intersection lies between 5.5oC until 26.5o C. From all parameters that are obtained from the data analysis, it can be concluded that the Mpemba effect occurs consistently in the cooling process of tap water that is initially heated infinitesimally.   Key words: Mpemba effect, freezing, tap water, infinitesimal heating, cooling, time
TOWARDS STUDYING NON-EQUILIBRIUM STATISTICAL MECHANICS THROUGH DYNAMICAL DENSITY FUNCTIONAL THEORY Wipsar Sunu Brams Dwandaru
Jurnal Sains Dasar Vol 2, No 1 (2013): April 2013
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (51.442 KB) | DOI: 10.21831/jsd.v2i1.3363

Abstract

Abstract In this brief article, the extension of density functional theory for non-equilibrium systems is presented. Density functional theory is a powerful framework in order to study the static properties of electronic systems via a variational principle whereby the density (varies in 3 dimension space) holds a key role instead of the many-body wave function. Evans (Adv. Phys., 1979) fully realized the importance of this and extended the theory for inhomogeneous fluid systems. Then in an urgent need to extend the theory for dynamical equilibrium or non-equilibrium systems, comes dynamical density functional theory. Here, the idea behind dynamical density functional theory is given based on the Smoluchowski equation.   Keywords: density functional theory, non-equilibrium systems, variational principle, Smoluchowski equation
SIMULATION ANALYSIS OF THE TOTALLY ASYMETRIC SIMPLE EXCLUSION PROCESS TO DETERMINE THE PROFIL OF THE ONE-BODY CORRELATION FUNCTION, TWO-BODY CORRELATION FUNCTION, AND THREE-BODY CORRELATION FUNCTION AROUND THE ENDS OF THE LATTICE WITH LATTICE NUMBER VARIATION R. A. Adipurno; Wipsar Sunu Brams Dwandaru; Denny Darmawan; Bambang Ruwanto
Jurnal Sains Dasar Vol 4, No 1 (2015): April 2015
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (82.298 KB) | DOI: 10.21831/jsd.v4i1.8427

Abstract

This study aimed to determine the behavior of one-body, two-body, and three-body correlation functions of the model dynamics TASEP with sequential updating rules and open boundary conditions on vehicular traffic around the end of the traffic light. The study began with the determination of algorithm to model the dynamics of TASEP and coding, with the variation of the input rate (α) , the output rate (β), and the number of  lattice sites (N). Then the program  run with specific time limit (t) and number of  systems (M). The value of the one-body correlation function determines the average occupancy of particles in lattice site-i at time t. Two-body correlation function determines the average occupancy of particle at site-i when there is another particle occupying the nearest neighbor lattice, i+1, at time t. Three-body correlation function determines the average occupancy of particles to occupy lattice site-i when there are other particles occupying the nearest and next nearest neighbor lattice sites, i+1 and i+2, at time t. The value of the one-body correlation function turns out to be larger than the value of the two-body correlation function. The value of the two-body correlation function is larger than the value of the three-body correlation function for all phases. The correlation between a vehicle to another vehicle will be even greater. Keywords:     TASEP, sequential updating, n-body correlation function
An extension of Gibbs variational principle for canonical partition function Elisabeth Pratidhina Founda Noviani; Wipsar Sunu Brams Dwandaru
Jurnal Sains Dasar Vol 2, No 1 (2013): April 2013
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (71.442 KB) | DOI: 10.21831/jsd.v2i1.3577

Abstract

Abstract   A variational principle is derived based upon the canonical partition functions. This variational principle is obtained using the Gibbs variational principle. Firstly, the Gibbs variational principle is highlighted for the canonical ensemble. Then, the Gibbs variational principle is modified such that a variational principle concerning the partition function is obtained. The latter variational principle is useful as the canonical partition function is an important quantity in deriving many thermodynamic quantities of a physical system based upon the distribution of the constituents that makes up the system.   Key words: variational principle, Gibbs variational principle, partition function