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Solving the Fermi equation for Modeling Nuclear Decay: Approaches, Assumptions, and Limitations in the Context of the Thomas-Dirac Distribution Siagian, Ruben Cornelius; Nasution, Budiman; Jubaidah, Jubaidah
Jurnal IPTEK Vol 27, No 2 (2023): December
Publisher : LPPM Institut Teknologi Adhi Tama Surabaya (ITATS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31284/j.iptek.2023.v27i2.4424

Abstract

This study explores a sophisticated probabilistic model for radioactive decay, emphasizing decay probability in small time intervals. Equation (1), with decay constant and time interval (dt), is central. Integration yields Equations (2), (3), and (4), describing total decay (N) over larger intervals (T). The Poisson distribution links to Equation (5), depicting decay events with average rate. In radioactive decay, the binomial distribution is relevant for independent nuclei (R). Equations (7) and (8) outline the probability of observing (N) decays, utilizing the binomial distribution and coefficient. Equation (9) simplifies via the Poisson distribution and factorial (n), notably eliminating (R-N). This reveals the efficiency of representing binomial distribution properties. The study extends to analyzing radiotracers in nuclear medicine through visualized data, revealing properties like half-life and decay constants on graphs. Graphical analysis identifies time's role in deviation from true values, offering insights into radiotracer reliability. This amalgamation of probabilistic methods and radiotracer analysis significantly contributes to understanding and applying radioactive decay concepts in diverse scientific and medical contexts.
A Monte Carlo Density Distribution Model Study to Analyze Galaxy Structure, Mass Distribution, and Dark Matter Phenomena Nasution, Budiman; Siagian , Ruben Cornelius; Ritonga, Winsyahputra; Alfaris, Lulut; Muhammad, Aldi Cahya; Nurahman, Arip
Indonesian Review of Physics Vol. 6 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/irip.v6i1.8240

Abstract

This research uses the Monte Carlo density distribution model to study the structure and mass distribution of galaxies and the dark matter phenomenon. Through computer simulations, the research developed a mathematical model with parameters such as rho0, rc, beta, and others, to describe the structure and mass distribution of galaxies. The results show that the model can reproduce various galaxy structures, including groups, clusters and filaments, and influence the behavior and characteristics of individual galaxies. This research provides a deeper understanding of dark matter and its impact on the evolution of the universe. It has implications for improving our understanding of dark matter and the use of Monte Carlo density distribution models to study galaxies. This study provides new insights into the evolution of galaxies and their relationship with dark matter in cosmology. Using both physics and mathematical concepts, this research helps to understand the phenomenon of dark matter and the structure of galaxies, and provides a basis for further research on dark matter and galaxy evolution.
Exploring Cosmological Dynamics: From FLRW Universe to Cosmic Microwave Background Fluctuations Nasution, Budiman; Ritonga, Winsyahputra; Siagian, Ruben Cornelius; Harahap, Veryyon; Alfaris, Lulut; Muhammad, Aldi Cahya; Laeiq, Nazish
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 24 No. 04 (2023): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/eksakta/vol23-iss04/427

Abstract

This study explores key aspects of cosmology, starting with the foundational FLRW equations that describe the universe's evolution, emphasizing its homogeneity and isotropy. We incorporate mass viscosity into these equations, shedding light on its role in shaping the universe. Observations of Type Ia supernovae inform our understanding of cosmological parameters, including the Hubble rate and dark energy's effects on cosmic expansion. Cosmic Microwave Background fluctuations are analyzed for insights into cosmic structure. Baryon Acoustic Oscillations provide additional data for estimating critical parameters. We also examine the Hubble Parameter to understand its relation to cosmological parameters. Lastly, we introduce statefinder analysis, unveiling the universe's behavior through key indicators like "r" and "s." This study offers comprehensive insights into cosmology and the universe's evolution.
NUMERICAL ANALYSIS OF CONCRETE-FLY ASH AND CONCRETE-OPC IN MULTI- STOREY BUILDINGS DURING EARTHQUAKES Nasution, Habibi Azka; Gea, Mitra Lestari; Nasution, Budiman
EINSTEIN (e-Journal) Vol. 13 No. 1 (2025): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/eins.v13i1.48769

Abstract

OPC-concrete is the most commonly used type of concrete. The production of OPC produces CO2 emissions, which is one of the main causes of climate change and global warming. A recent innovation used as a high-strength concrete admixture is fly ash. Earthquakes pose a serious threat to the safety and stability of high-rise buildings. This study uses a finite difference method computational approach to analyze the seismic behavior of multi-storey buildings using fly ash concrete and opc concrete by utilizing data on stiffness, mass, damping, and earthquake acceleration. Based on the simulation results, the mode shape graphs of fly ash concrete and opc concrete are similar but the vibration frequencies of both are different, where the frequency of fly ash concrete is higher than the frequency of opc concrete. The displacements of the buildings with fly ash concrete and opc concrete still meet the applicable deviation allowance, where the maximum displacements of the buildings are 0.00308 m and 0.00342 m, respectively, while the maximum shear force of both buildings occurs on the first floor, which is 5967.59 N and 5104.78 N, respectively.
TOPOGRAPHIC MAPPING OF SLOPES IN LANDSLIDE PRONE AREAS USING THE SCHLUMBERGER CONFIGURATION GEOELECTRICS TECHNIQUE Situmorang, Howard; Nasution, Habibi Azka; Nasution, Budiman; Aningsih, Sri; Ummi, Shofia
EINSTEIN (e-Journal) Vol. 13 No. 1 (2025): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/eins.v13i1.65332

Abstract

Landslides in Lembang in 2020-2021 were influenced by intense heavy rainfall. The surface contours in the village are generally in steep surface conditions with varying slope angles. The purpose of this study was to determine the surface contour in two dimensions by using the geoelectric method with Schlumberger configuration. The first stage was carried out by recording data on 5 tracks with 3 parallel tracks up to 75 , one track intersecting the other track area up to 60 and one track next to the landslide at 52.5 . The results showed that the resistivity of the rocks varied between 0.465-1952 . Interpretation of rock 0.465-21.5 as clay and sand, 22-146 as sandstone, dry gravel, 156-380 as andesite, basalt and 389-1952 as granite, diorite, limestone. The contrasting differences in the variation of the values on each track are known as slip planes. Slip planes have been found on 5 tracks with depths ranging from 6 to 12 m. The results of the 2-dimensional surface modelling that has been carried out show that the research area has the potential for landslides
Analysis of Solar Flux and Sunspot Correlation Case Study: A Statistical Perspective Siagian, Ruben Cornelius; Alfaris, Lulut; Nasution, Budiman; Nasution, Habibi Azka
Kappa Journal Vol 7 No 1 (2023): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i1.12238

Abstract

This analysis examines the relationship between the number of solar flares and the number of sunspots in 2005 using 11 observations in months 2 to 12. The number of solar currents measures the intensity of the radiation emitted by the Sun, while the number of sunspots measures the number of sunspots on the surface of the Sun. Multivariate linear regression analysis was used to analyze the relationship between Solar Current Rate and Number of Sunspots. The results of the analysis show that the coefficient of the Amount of Solar Current is 1.1239 with a significant t value of 2.510 (probability that there is no effect on the Number of Sunspots is 3.33%). The linear regression model has good results with an F-statistic value of 6.301 and a p-value of 0.0333, with an R-squared value of 0.4118 which indicates that 41.18% of the variation in the number of sunspots is influenced by variations in the amount of solar currents. The corrected R-squared value is 0.3464 indicating that there are still variations in the number of sunspots that cannot be explained by variations in the number of solar currents. ARIMA analysis results show an MA coefficient of 0.7351 with an average value of 45.9542 and a s.e value of 0.2590 and 6.1550 respectively. The AIC, AICc, and BIC values are 92.97, 96.4, and 94.16. The error results in the training set show that the ME value is 0.2615561, the RMSE value is 12.16969, the MAE value is 9.03306, the MPE value is -15.14689, the MAPE value is 30.42013, and the MASE value is 0.674109. The ACF1 value in the exercise set is 0.0808969.
Separation of Variables Method in Solving Partial Differential Equations and Investigating the Relationship between Gravitational Field Tensor and Energy-Momentum Tensor in Einstein's Theory of Gravity Siagian, Ruben Cornelius; Alfaris, Lulut; Nurahman, Arip; Muhammad, Aldi Cahya; Nyuswantoro, Ukta Indra; Nasution, Budiman
Kappa Journal Vol 7 No 2 (2023): Agustus
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i2.20921

Abstract

This research delves into the study of partial differential equations (PDEs) and gravitational fields in spacetime. It focuses on solving PDEs using the Separation of Variables method and explores the relationship between the gravitational field tensor and the energy-momentum tensor, leading to the final equation for the gravitational field tensor. The research also investigates Einstein's theory of gravity and the energy-momentum tensor integral, providing the general solution for the gravitational potential and its implications. Additionally, the mean integration of the gravitational wave tensor is analyzed, yielding an expression for the tensor strain of gravitational waves over an infinitely long period. The components of the gravitational wave tensor and their effect on gravitational sources are examined. Furthermore, the propagation of electromagnetic fields in spacetime is studied using the Retarded Green's Function. The primary objectives of this research are to understand and explore mathematical techniques for solving PDEs and analyzing gravitational fields and their interactions in spacetime. The integration of multiple theoretical concepts related to PDEs, gravitational fields, and electromagnetic fields enhances our understanding of fundamental physics principles. This contributes to the advancement of theoretical physics and opens avenues for potential practical applications, such as gravitational wave detection and electromagnetic field propagation in complex media. In conclusion, this research provides valuable insights into fundamental physics principles and fosters a deeper understanding of their interconnections and implications
Implementasi pembelajaran diferensiasi berbasis projek dalam mengakselerasi kurikulum merdeka Rita Juliani; Rahmatsyah Rahmatsyah; Rajo Hasim Lubis; Agung Setia Batu Bara; Budiman Nasution; Aji Ibnu Khoir; Tiara Rizka Febriza; Nur Saimah Lubis; Tiara Syahdila; Khairanum Andini
SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Vol 8, No 3 (2024): September
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jpmb.v8i3.25881

Abstract

AbstrakSMA Negeri 1 Percut Sei Tuan merupakan sekolah yang menerapkan kurikulum Merdeka. Kegiatan PKM Implementasi Pembelajaran Diferensiasi Berbasis Projek dalam Mengakselerasi Kurikulum Merdeka bertujuan untuk memahami dan meningkatkan efektivitas pembelajaran diferensiasi yang didasarkan pada pendekatan projek dalam konteks Kurikulum Merdeka. Fokus kegiatan terletak pada penerapan strategi diferensiasi untuk memenuhi kebutuhan belajar yang beragam di tengah kurikulum yang memberikan kebebasan dan fleksibilitas khususnya dalam menghasilkan media berorientasi diferensiasi. Kegiatan PKM mengeksplorasi integrasi model pembelajaran projek dengan diferensiasi untuk memfasilitasi perkembangan keterampilan dan pemahaman siswa secara holistik, menciptakan landasan untuk penerapan Kurikulum Merdeka yang memungkinkan perkembangan optimal siswa sesuai dengan potensi individu siswa serta melalui pengabdian diharapkan mempercepat kurikulum merdeka. Metode yang digunakan pada kegiatan PKM dengan tiga tahapan yaitu tahap persiapan, pelaksanaan, dan penutup. Tahap persiapan dimulai dari observasi dan wawancara, pemetaan potensi, pendataan calon peserta dan persiapan tim dan bahan. Tahap pelaksanaan kegiatan dengan melakukan sosialisasi, pelatihan dan pendampingan, serta tahap penutup dengan melaksanakan monitoring dan evaluasi. Hasil yang diperoleh guru memahami dan mengimplementasikan pembelajaran diferensiasi berbasis projek dengan membuat inovasi media dan bahan ajar terintegrasi diferensiasi sehingga terwujud efektivitas dalam mengakslerasi kurikulum merdeka. Kata kunci: pembelajaran diferensiasi; proyek; kurikulum merdeka. Abstract SMA Negeri 1 Percut Sei Tuan is a school that implements the Merdeka curriculum. The PKM activity of Optimizing Project-Based Differentiated Learning to Accelerate the Merdeka Curriculum aims to understand and improve the effectiveness of differentiated learning based on the project approach in the context of the Merdeka Curriculum. The focus of the activity lies in the application of differentiation strategies to meet diverse learning needs in the midst of a curriculum that provides freedom and flexibility, especially in producing differentiation-oriented media. The PKM activity explores the integration of the project learning model with differentiation to facilitate the development of students' skills and understanding holistically, creating a foundation for the implementation of the Merdeka Curriculum that allows for optimal student development according to the potential of individual students and through devotion it is hoped that it can accelerate the Merdeka curriculum. The method used in the PKM activity has three stages, namely the preparation, implementation, and closing stages. The preparation stage starts from observation and interviews, potential mapping, data collection of prospective participants and preparation of teams and materials. The implementation stage of the activity by conducting socialization, training and mentoring, and the closing stage by carrying out monitoring and evaluation. The results obtained by teachers understand and implement project-based differentiation learning by creating innovative media and integrated differentiation teaching materials so that effectiveness can be realized in accelerating the independent curriculum. Keywords: differentiated learning; project; independent curriculum.
ANALYSIS OF CREPER MACHINE UTILIZATION IN CRUMB RUBBER PRODUCTION BASED ON BLANKET THICKNESS DISTRIBUTION AT PT. PANTJA SURYA Purba, Reza Hazly Al’Udlu; Siregar, Rohimah Nurul Huda; Alysha Tasya Aulia; Situmorang, Tiur Nauli; Siregar, Nisa Zahra Gustiani; Nasution, Budiman; Situmorang, Howard; Nasution, Habibi Azka
EINSTEIN (e-Journal) Vol. 14 No. 1 (2026): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/301n3m09

Abstract

Creper machines are vital in crumb rubber processing for reducing material thickness and ensuring blanket quality. This study provides a quantitative physical analysis of five creper machines at PT. Pantja Surya, focusing on how pressure force and maintenance schedules correlate with blanket thickness distribution. Primary data were collected through field observations and technical equipment specifications, which were subsequently analyzed using the Python programming language to calculate mechanical parameters, including the reduction ratio, roll-material contact length (Lp), and estimated compressive force (F). The results indicated that the maximum mechanical load was concentrated on Creper 1, with an estimated compressive force of 867.85 kN, correlating with the maximum contact length of 0.177 m. An anomaly was observed in Creper 3, which functions as a transition stage without thickness reduction to stabilize the material's viscoelasticity. The distribution of compressive force gradually decreases in Crepers 4 and 5 (382.57 kN and 352.28 kN, respectively), consistent with a more controlled reduction process. This analysis demonstrates that units subjected to higher compressive forces require shorter maintenance intervals (120 hours) compared to units with lower loads (160 hours). Consequently, these findings establish a framework for implementing load-based predictive maintenance to enhance operational efficiency in the industry.
Analysis of the Quality of Interactive Mobile Learning Media Based on Global Warming Material at SMA Negeri 2 Medan Ezra Egidia Shelomitha Limbong; Budiman Nasution
Jurnal Pendidikan Fisika Vol. 14 No. 2 (2025)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jpf.v14i2.65865

Abstract

Student disengagement and suboptimal learning completeness in physics at SMA Negeri 2 Medan, attributed to monotonous learning media, prompted the development of a mobile learning application using MIT App Inventor to enhance student interest. This inquire about utilized the Research and Development  (R&D) strategy utilized the ADDIE show with lesson X understudies as subjects. The developed media showed high validity (87.03% media, 92% material), practicality (95% teacher response, 93.8% student response), and effectiveness, as indicated by a significant N-gain of 0.80 (high category) between pre-test (46.67) and post-test (90.13) scores on global warming material. The study concludes that this mobile learning physics media is highly valid, practical, and effective for use at SMA Negeri 2 Medan. Based on this data, it can be concluded that the material physics learning media based on versatile learning MIT App Inventor created by analysts is exceptionally feasibility, exceptionally practical and exceptionally effective to utilize.