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For a system that undergoes a thermodynamic process at a constant volume condition, the heat absorbed is used only to increase the system's internal energy and not for doing any kind of work. While for a system undergoing a thermodynamic process under a constant pressure condition, the amount of heat absorbed is used not only for increasing the internal energy (as a function of temperature) but also for doing some work. The molar heat capacity is the amount of heat required to increase the...
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Heat capacity is the ratio of heat absorbed by the substance corresponding to its temperature change. It is also called thermal capacity and the SI unit of heat capacity is J/K. Whereas, specific heat capacity is defined as the amount of heat necessary to change the temperature of 1 kg of a substance by 1 K and is also called massic heat capacity. Its SI unit is J/kg⋅K.
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A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the  hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
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Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
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Nonequilibrium statistical physics beyond the ideal heat bath approximation.

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This study revises nonequilibrium statistical physics (NESP) models by addressing the limitations of near-equilibrium approximations. It introduces corrections for NESP processes in realistic environments, crucial for systems far from equilibrium.

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Area of Science:

  • Statistical Physics
  • Physical Chemistry
  • Biophysics

Background:

  • Many nonequilibrium statistical physics (NESP) models rely on a near-equilibrium approximation, assuming ideal equilibrium baths for fluctuations.
  • This assumption, common in Fokker-Planck, Langevin, and diffusion models, fails when systems are far from equilibrium.

Purpose of the Study:

  • To develop a more principled approach for NESP by deriving rate fluctuations from underlying dynamics.
  • To introduce corrections for NESP processes in realistic, imperfect environments, especially for systems far from equilibrium.

Main Methods:

  • Utilized the maximum caliber principle as the foundational framework.
  • Derived corrections to NESP models based on a more realistic environmental interaction.

Main Results:

  • Developed a method to correct NESP models that are limited by near-equilibrium approximations.
  • Showed that environmental factors beyond temperature, such as speed and size, are critical for characterizing fluctuations in systems far from equilibrium.

Conclusions:

  • The study provides a more accurate framework for NESP by moving beyond the ideal bath approximation.
  • The findings are particularly relevant for understanding and modeling complex systems driven far from thermodynamic equilibrium.