Judul: Analisis Keragaman Genetik dan Stabilitas Daya Hasil Cabai Rawit di Tiga Lokasi
Abstrak: Cabai rawit merupakan komoditi strategis karena memiliki tingkat konsumsi yang tinggi dan berpengaruh pada tingkat inflasi. Tantangan pada produksi cabai adalah ketersediaan varietas yang berdaya hasil tinggi serta dapat beradaptasi di berbagai lingkungan tumbuh. Penelitian ini bertujuan untuk mengetahui keragaman morfologi 22 genotipe cabai, interaksi g x e, dan stabilitas 10 genotipe cabai rawit di 3 lokasi. Penelitian ini dilaksanakan pada bulan Juli 2020 sampai Februari 2022 pada tiga lokasi, yaitu Sleman, Bogor, dan Blitar. Penelitian ini menggunakan rancangan kelompok lengkap teracak dengan tiga ulangan. Genotipe cabai yang dievaluasi pada percobaan pertama adalah HCR 17-003, HCR 17-004, HCR 17-007, HCR 17-008, HCR17-012, HCR 17-013, HCR 17-014, HCR 17-017, F7-1, F7-2, F7-3, Ca011, Ca013, Ca020, Ca021, Cf002, Cf005, Cf007, Cf010, Cf015, Bonita, dan Loblita. Terdapat 10 genotipe yang digunakan untuk analisis stabilitas hasil, dua diantaranya berasal dari penelitian sebelumya berdasarkan kemiripan karakter morfologi, yaitu PKHT A, PKHT B, Bara, Genie, Centil, PKHT C, PKHT D, Bonita, Sona, dan Tunduk. Hasil analisis biplot terhadap 22 genotipe cabai menunjukkan total keragaman dari dua kompenen utama sebesar 40,5%. Terdapat interaksi genotipe dengan lingkungan yang berbeda nyata dengan produktivitas. Berdasarkan konsep stabilitas statis parametrik, genotipe yang tergolong stabil adalah PKHT B, PKHT C, Centil, Sona, dan Tunduk. Berdasarkan konsep stabilitas dinamis parametrik, genotipe yang tergolong stabil adalah PKHT A, PKHT B, PKHT C, Bonita dan Sona. Menurut metode AMMI, PKHT B, PKHT C, Sona, dan Bonita merupakan genotipe yang stabil di ketiga lokasi pengujian. PKHT B, PKHT C, Sona dan Bonita merupakan genotipe yang stabil di ketiga lokasi pengujian menurut AMMI. Berdasarkan konsep stabilitas nonparametrik, Bonita, PKHT C, PKHT A, dan Sona merupakan genotipe yang tergolong stabil di tiga lokasi menurut metode Kang. Genie, Bonita, Sona, dan PKHT B tergolong stabil menurut metode Nassar-Huehn. PKHT A dan Centil merupakan genotipe stabil menurut metode Fox. PKHT B merupakan genotipe stabil menurut metode Thennarasu. PKHT B dan Bonita merupakan genotipe stabil menurut semua metode stabilitas yang diuji., Cayenne pepper is an important horticultural commodity due to its high consumption and impact on inflation. Chili production faces challenges by the limited availability of high-yielding varieties, which have high adaptability to different growing environments. This study aimed to identify the variability of 22 chili pepper genotypes morphology, the genotype x environment interaction, and the stability of 10 chili pepper genotypes in 3 different environments. This study was conducted from July 2020 until February 2022 in Sleman DIY, Bogor, and Blitar. The experimental design used in this study was a single-factor randomized complete block design, each consisting of three replicates. The genotypes evaluated were HCR 17-003, HCR 17-004, HCR 17-007, HCR 17-008, HCR17-012, HCR 17-013, HCR 17-014, HCR 17-017, F7-1, F7-2, F7-3, Ca011, Ca013, Ca020, Ca021, Cf002, Cf005, Cf007, Cf010, Cf015, Bonita, and Loblita. Ten genotypes were evaluated in stability analysis, two genotypes were included from the previous experiment based on similar morphological character. They were PKHT A, PKHT B, Bara, Genie, Centil, PKHT C, PKHT D, Bonita, Sona, and Tunduk. The biplot analysis for genetic diversity showed a total diversity of 40.5% for the two main components. The genotype x environment
Keyword: AMMI, nonparametric stability, parametric stability, variety

Judul: Evaluation of Variability and Yield on Cayenne Pepper Genotypes (Capsicum frutescens L.) Collection of PKHT IPB
Abstrak: Cabai rawit (Capsicum frutescens L.) merupakan hortikultura yang bernilai ekonomi tinggi di Indonesia. Tingginya permintaan akan meningkatkan permintaan produktivitas tanaman. PKHT IPB memiliki koleksi beberapa sumberdaya genetik cabai rawit yang perlu dievaluasi keragaman genetik dan karakteristik genotipenya untuk pengembangan selanjutnya. Penelitian ini bertujuan mengevaluasi keragaman dan daya hasil genotipe cabai rawit koleksi PKHT IPB. Penelitian dilaksanakan pada bulan Desember 2021 sampai Juni 2022 di Kebun Percobaan Pasir Kuda. Sembilan genotipe (HCR 17-002, HCR 17-003, HCR 17-006, HCR 17-009, CRP 2, CRP 4, CRP 5, CRP 7, dan Bonita) disusun menggunakan Rancangan Kelompok Lengkap Teracak (RKLT) dengan tiga ulangan. Terdapat keragaman karakter kualitatif genotipe uji, kecuali bentuk penampang batang, posisi dan bentuk bunga, serta bentuk biji. Analisis sidik ragam menunjukkan keragaman antara genotipe yang dievaluasi, kecuali diameter batang, jumlah buah per tanaman, bobot buah per tanaman, dan persentase jumlah buah rusak per tanaman. HCR 17-003 menunjukkan karakter lebar buah, bobot buah, jumlah biji per buah, bobot 1000 biji, dan bobot buah per tanaman yang lebih tinggi dibandingkan dengan varietas Bonita, serta bobot buah per bedeng dan produktivitasnya sebanding dengan varietas Bonita. HCR 17-006 memiliki panjang buah yang lebih panjang dibandingkan dengan varietas Bonita dan CRP 7 memiliki jumlah buah per tanaman yang lebih banyak dibandingkan dengan varietas Bonita., Cayenne pepper (Capsicum frutescens L.) is high economic value horticultural in Indonesia. The high demand for demand increase of crop productivity. PKHT IPB has a collection of genetic resources of cayenne pepper that the genetic variability and genotype characteristics need to evaluate for further development. This study aimed to evaluate the diversity and yield components of the PKHT IPB’s cayenne pepper. The research was conducted from December 2021 to June 2022 at PKHT IPB Pasir Kuda Experimental Field. Nine genotypes (HCR 17-002, HCR 17-003, HCR 17-006, HCR 17-009, CRP 2, CRP 4, CRP 5, CRP 7, and Bonita) were arranged under a Randomized Complete Block Design (RCBD) with three replications. The genotype qualitative characteristics varied except to the stem cross-sectional shape, the flower shape and position, and the seed’s shape. The analysis of variance showed a significant difference among evaluated genotypes except for stem diameter, fruits number per plant, fruit weight per plant, and percentage of defect fruit per plant. HCR 17-003 showed fruit width, fruit weight, the number of seeds per fruit, 1000 seeds, and the weight of fruit per plant higher than the Bonita variety, and weight per plot and productivity compare to Bonita's. HCR 17-006 has a longer fruit length than the Bonita variety and CRP 7 has a greater number of fruits per plant than the Bonita variety.
Keyword: productivity, qualitative character, quantitative character

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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