{"id":362,"date":"2023-06-20T16:36:12","date_gmt":"2023-06-20T16:36:12","guid":{"rendered":"https:\/\/physigeek.com\/tr\/kararli-hal\/"},"modified":"2023-06-20T16:36:12","modified_gmt":"2023-06-20T16:36:12","slug":"kararli-hal","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/kararli-hal\/","title":{"rendered":"Kararl\u0131 hal"},"content":{"rendered":"

Bu makale, kararl\u0131 durumun ne oldu\u011funu, farkl\u0131 bilimsel alanlardaki uygulamalar\u0131n\u0131 ve ayr\u0131ca dura\u011fan durum ile ge\u00e7ici durum aras\u0131ndaki fark\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. <\/p>\n

<\/span> Kararl\u0131 durum nedir?<\/span><\/h2>\n

Kararl\u0131 durum,<\/strong> sistemin davran\u0131\u015f\u0131n\u0131 tan\u0131mlayan t\u00fcm de\u011fi\u015fkenlerin sabit kalmas\u0131 durumunda sistemin i\u00e7inde bulundu\u011fu durumdur. Ba\u015fka bir deyi\u015fle, bir sistem, e\u011fer t\u00fcm de\u011fi\u015fkenleri de\u011fer de\u011fi\u015ftirmiyorsa kararl\u0131 durumdad\u0131r.<\/p>\n

Matematiksel olarak, bir sistem veya s\u00fcre\u00e7, e\u011fer onun t\u00fcm \u00f6zelliklerinin (p) zamana (t) g\u00f6re k\u0131smi t\u00fcrevleri s\u0131f\u0131r ise, kararl\u0131 durumdad\u0131r.<\/p>\n

\n

\"\\cfrac{\\partial<\/p>\n<\/p>\n

Bu, a\u015fa\u011f\u0131daki denklemin ayr\u0131k zaman dilimleri i\u00e7in ge\u00e7erli oldu\u011fu anlam\u0131na gelir:<\/p>\n

\n

\"p_t-p_{t-1}<\/p>\n<\/p>\n

Fizikte kararl\u0131 durum, bir sistemin konum, s\u0131cakl\u0131k, i\u00e7 enerji vb. \u00f6zellikleri zamanla de\u011fi\u015fmedi\u011finde bulundu\u011fu durum olarak tan\u0131mlan\u0131r. sabit kal\u0131rlar. <\/p>\n

<\/span> Kararl\u0131 Durum Uygulamalar\u0131<\/span><\/h2>\n

Daha sonra uygulama alan\u0131na g\u00f6re kararl\u0131 durumun ne anlama geldi\u011fini g\u00f6rece\u011fiz.<\/p>\n

<\/span> Termodinamik<\/span><\/h3>\n

Termodinamikte kararl\u0131 durum, a\u00e7\u0131k bir sistemin dengede oldu\u011fu ve durum de\u011fi\u015fkenlerinin (s\u0131cakl\u0131k, hacim, bas\u0131n\u00e7 vb.) de\u011fi\u015fmedi\u011fi durumdur.<\/p>\n

Dolay\u0131s\u0131yla durum fonksiyonlar\u0131 da (entropi, entalpi, i\u00e7 enerji vb.) zamanla de\u011fi\u015fmez. Bu nedenle kararl\u0131 durumda \u00fcretilen entropi minimumdur.<\/p>\n

<\/span> Kimya<\/span><\/h3>\n

Kimyada, \u00f6zellikle kimyasal reaksiyonlar\u0131n incelenmesinde, farkl\u0131 kimyasal bile\u015fiklerin konsantrasyonlar\u0131 zaman i\u00e7inde de\u011fi\u015fmedi\u011finde denge durumuna ula\u015f\u0131l\u0131r.<\/p>\n

Farkl\u0131 kimyasal elementlerin kar\u0131\u015f\u0131m\u0131yla bir kimyasal reaksiyon ger\u00e7ekle\u015ftirildi\u011finde, reaksiyondaki farkl\u0131 elementlerin konsantrasyonlar\u0131 zamanla de\u011fi\u015fir. B\u00f6ylece konsantrasyonlar sabit kald\u0131\u011f\u0131nda denge durumuna ula\u015f\u0131l\u0131r.<\/p>\n

<\/span> Mekanik<\/span><\/h3>\n

Makine m\u00fchendisli\u011finde kararl\u0131 durum, bir mekanik sisteme periyodik bir kuvvet uyguland\u0131\u011f\u0131nda ve onu tan\u0131mlayan de\u011fi\u015fkenler sabit kalana kadar belirli bir s\u00fcre ge\u00e7ti\u011finde elde edilen denge durumudur.<\/p>\n

\u00d6rne\u011fin bir sarkac\u0131n \u00fczerine bir kuvvet uyguland\u0131\u011f\u0131nda sarka\u00e7 ile hava aras\u0131ndaki s\u00fcrt\u00fcnmeden dolay\u0131 tamamen durana kadar sal\u0131n\u0131m yapmaya ba\u015flar. O halde sarkac\u0131n hareketini tan\u0131mlayan t\u00fcm de\u011fi\u015fkenler s\u0131f\u0131r olacak ve sarkaca ba\u015fka bir kuvvet uygulanmad\u0131\u011f\u0131 takdirde de\u011ferleri de\u011fi\u015fmeyecektir.<\/p>\n

<\/span> elektronik<\/span><\/h3>\n

Elektronikte, ge\u00e7ici olaylar\u0131n etkileri art\u0131k \u00f6nemli olmad\u0131\u011f\u0131nda sistemin kararl\u0131 durumda oldu\u011fu kabul edilir.<\/p>\n

Tipik olarak bir elektronik sistem elektrik ak\u0131m\u0131na ba\u011flan\u0131p \u00e7al\u0131\u015fmaya ba\u015flad\u0131\u011f\u0131nda, normal \u00e7al\u0131\u015fma durumuna ula\u015f\u0131ncaya kadar belli bir s\u00fcre ge\u00e7er.<\/p>\n

Bu nedenle elektronik sistemin ne zaman kararl\u0131 durumda oldu\u011funu belirlemek \u00f6nemlidir \u00e7\u00fcnk\u00fc \u00f6zellikleri ve yetenekleri, ge\u00e7ici veya kararl\u0131 durumda olmas\u0131na ba\u011fl\u0131 olarak farkl\u0131 olacakt\u0131r.<\/p>\n

<\/span> Ekonomi<\/span><\/h3>\n

Ekonomide, bir b\u00f6lge, t\u00fcketimi de istikrarl\u0131 olan sabit say\u0131da sakine sahip oldu\u011funda ve dahas\u0131, n\u00fcfusun t\u00fcketimi b\u00f6lgenin maksimum kapasitesinden daha az oldu\u011funda istikrarl\u0131 bir durumdad\u0131r.<\/p>\n

Robert Solow ve Trevor Swan’\u0131n ekonomik modelinde, br\u00fct sermaye yat\u0131r\u0131m\u0131n\u0131n amortismana e\u015fit olmas\u0131 ve ekonominin ekonomik dengeye ula\u015fmas\u0131 durumunda dura\u011fan durum ortaya \u00e7\u0131kar. <\/p>\n

<\/span> Kararl\u0131 durum ve ge\u00e7ici durum<\/span><\/h2>\n

Bu b\u00f6l\u00fcmde kararl\u0131 durum ile ge\u00e7ici durum aras\u0131ndaki fark\u0131 g\u00f6rece\u011fiz.<\/p>\n

Dura\u011fan olmayan<\/strong> durum olarak da adland\u0131r\u0131lan ge\u00e7ici durum<\/strong> , bir sistemin davran\u0131\u015f\u0131n\u0131 tan\u0131mlayan de\u011fi\u015fkenlerin zaman i\u00e7inde de\u011ferlerinin de\u011fi\u015fti\u011fi durumudur.<\/p>\n

Bu nedenle, kararl\u0131 durum ile ge\u00e7ici durum (veya karars\u0131z durum) aras\u0131ndaki fark,<\/strong> de\u011fi\u015fkenlerin sabit olup olmamas\u0131d\u0131r. Kararl\u0131 durumda de\u011fi\u015fkenler sabit kal\u0131r, ancak ge\u00e7ici durumda de\u011fi\u015fkenlerin de\u011ferleri de\u011fi\u015fir.<\/p>\n

\u00c7o\u011fu durumda, istikrarl\u0131 bir duruma ula\u015fmak i\u00e7in \u00f6ncelikle ge\u00e7ici bir durumdan ge\u00e7meniz gerekir, b\u00f6ylece belirli bir s\u00fcre sonra de\u011fi\u015fkenler dengelenir ve sabit kal\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"

Bu makale, kararl\u0131 durumun ne oldu\u011funu, farkl\u0131 bilimsel alanlardaki uygulamalar\u0131n\u0131 ve ayr\u0131ca dura\u011fan durum ile ge\u00e7ici durum aras\u0131ndaki fark\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Kararl\u0131 durum nedir? Kararl\u0131 durum, sistemin davran\u0131\u015f\u0131n\u0131 tan\u0131mlayan t\u00fcm de\u011fi\u015fkenlerin sabit kalmas\u0131 durumunda sistemin i\u00e7inde bulundu\u011fu durumdur. Ba\u015fka bir deyi\u015fle, bir sistem, e\u011fer t\u00fcm de\u011fi\u015fkenleri de\u011fer de\u011fi\u015ftirmiyorsa kararl\u0131 durumdad\u0131r. Matematiksel olarak, bir sistem …<\/p>\n

Kararl\u0131 hal<\/span> Devam\u0131 »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-362","post","type-post","status-publish","format-standard","hentry","category-kavramlar"],"yoast_head":"\n\u25b7 Kararl\u0131 durum 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