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In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid. It reads: where is the number density, g(r) is the radial distribution function and is the isothermal compressibility. Using the Fourier representation of the Ornstein-Zernike equation the compressibility equation can be rewritten in the form:

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  • Compressibility equation (en)
  • Equazione di comprimibilità (it)
  • Уравнение сжимаемости (ru)
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  • In meccanica statistica e termodinamica l'equazione di comprimibilità è un'equazione integrale della meccanica statistica che mette in relazione il modulo di comprimibilità e la struttura di un liquido. Viene scritta come: dove è la densità del numero di particelle, è la funzione di distribuzione radiale e la comprimibilità a temperatura costante. Usando la rappresentazione di Fourier dell' l'equazione precedente può essere riscritta come: dove e sono rispettivamente le funzioni di correlazione indiretta e diretta. (it)
  • В статистической механике и термодинамике уравнение сжимаемости связывает изотермическую сжимаемость (англ. Compressibility) (и косвенно — давление) со структурой жидкости. Уравнение записывается: (1) где — концентрация частиц, g(r) — радиальная функция распределения и — изотермическая сжимаемость. Используя уравнение Орнштейна-Цернике в Фурье представлении, уравнение сжимаемости (1) может быть записано в форме: где h(r) и c(r) — соответственно полная и прямая корреляционные функции. Уравнение сжимаемости — одно из многих интегральных уравнений в статистической механике. (ru)
  • In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid. It reads: where is the number density, g(r) is the radial distribution function and is the isothermal compressibility. Using the Fourier representation of the Ornstein-Zernike equation the compressibility equation can be rewritten in the form: (en)
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  • In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid. It reads: where is the number density, g(r) is the radial distribution function and is the isothermal compressibility. Using the Fourier representation of the Ornstein-Zernike equation the compressibility equation can be rewritten in the form: where h(r) and c(r) are the indirect and direct correlation functions respectively. The compressibility equation is one of the many integral equations in statistical mechanics. (en)
  • In meccanica statistica e termodinamica l'equazione di comprimibilità è un'equazione integrale della meccanica statistica che mette in relazione il modulo di comprimibilità e la struttura di un liquido. Viene scritta come: dove è la densità del numero di particelle, è la funzione di distribuzione radiale e la comprimibilità a temperatura costante. Usando la rappresentazione di Fourier dell' l'equazione precedente può essere riscritta come: dove e sono rispettivamente le funzioni di correlazione indiretta e diretta. (it)
  • В статистической механике и термодинамике уравнение сжимаемости связывает изотермическую сжимаемость (англ. Compressibility) (и косвенно — давление) со структурой жидкости. Уравнение записывается: (1) где — концентрация частиц, g(r) — радиальная функция распределения и — изотермическая сжимаемость. Используя уравнение Орнштейна-Цернике в Фурье представлении, уравнение сжимаемости (1) может быть записано в форме: где h(r) и c(r) — соответственно полная и прямая корреляционные функции. Уравнение сжимаемости — одно из многих интегральных уравнений в статистической механике. (ru)
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