![]() ![]() In fact, by using a novel macroscopic-statistical approach, the entropy variation of a physical system is studied. This law indicates the irreversibility of natural processes. In a natural thermodynamic process, the sum of the entropies of the interacting thermodynamic systems increases. The gained relation, expressed by energy components of the system, is considered with no constraints on the structure of the system but has a common basis with the Boltzmann entropy equation. According to the second law of thermodynamics: The entropy of any isolated system never decreases. Dependence of the entropy and rate of the energy components is gained from the novel energy conservation principle. One of the advantages of this novel approach is that the volume of the needed calculations will be decreased mainly in comparison with the Boltzmann entropy equation. Despite the classical mechanics that all particles are studied, in the novel approach, "particular processes" as all processes that have the same active independent energy components are studied at "various conditions" in other words, all conditions that same energy amount is applied to the system. 9.2 Boltzmann's Entropy Analogs Boltzmann 1872 presented an analog for the entropy in the form of the logarithm of the one - particle probability. The derivation of the Kelvin temperature scale demonstrates that for constant volume and a. The variation of the "energy structure equation”, as an equation to formulate the performed process using activated energy components of the system and their dependence, is studied in different possible paths by using the energy conservation principle directly. The definition of thermodynamic entropy is SQ/T and is not dSdQ/T. ![]() In this paper, an entropy equation is gained by using a new quasi-statistical approach to the physical processes as well as a novel energy conservation principle. In fact, the possible process performing states and their entropy variations will be determined at a specific energy level. According to the Boltzmann equation, entropy is a measure of the number of microstates available to a system. Maximum Entropy Predicts Flat Distributions. Based on the second law of thermodynamics with a glance at the Boltzmann entropy equation, it can be deduced that physical processes are done in a direction that the probability of the system and total entropy increase. This distribution is predicted by the maximum-entropy principle. Our aim is to discuss and compare these two. School of Metallurgy and Material Engineering, Iran University of Science and Technology, Tehran, IranĮnergy space, energy conservation principle, entropy, energy structure, statistical mechanics, Boltzmann entropy equation Abstractīoltzmann entropy equation is gained according to the statistical mechanics directly and general dependence between entropy and probability is obtained. In contrast, the Boltzmann entropy is a function on phase space, and is thus defined for an individual system. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran ![]()
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