Lecture

Linear Phenomenological Relations

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Description

This lecture covers linear phenomenological relations in thermodynamics, focusing on the concept of current densities and generalized forces. It explains the linear relationships between current densities and forces, emphasizing equilibrium conditions and the development of these functions through Taylor series. The lecture also introduces the linear relations between current densities and generalized forces, highlighting the coefficients of these relations and the principle of Curie. Additionally, it discusses the reciprocity relations of Onsager, demonstrating the symmetry of phenomenological coefficients and the implications of microscopic reversibility. The presentation concludes with the mixing of simple and isotropic fluid substances, providing insights into scalar and vectorial current densities and forces.

In MOOC

Thermodynamics I

Professor J.-Ph. Ansermet from EPFL and his collaborator Dr. Sylvain Bréchet have brought together all the fundamental principles of thermodynamics in four lessons. The second part of the MOOC illustrates the thermodynamic approach through a series of applications presented by specialists from various partner institutions in the RESCIF network. The aim of the course is to help students understand and apply the fundamental concepts of thermodynamics. Following a presentation of the first and second princi

Official source

Ontological neighbourhood

Physics

Thermodynamics: Statistical mechanics

Related concepts (32)

Thermodynamics

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics.

Laws of thermodynamics

The laws of thermodynamics are a set of scientific laws which define a group of physical quantities, such as temperature, energy, and entropy, that characterize thermodynamic systems in thermodynamic equilibrium. The laws also use various parameters for thermodynamic processes, such as thermodynamic work and heat, and establish relationships between them. They state empirical facts that form a basis of precluding the possibility of certain phenomena, such as perpetual motion.

Second law of thermodynamics

The second law of thermodynamics is a physical law based on universal experience concerning heat and energy interconversions. One simple statement of the law is that heat always moves from hotter objects to colder objects (or "downhill"), unless energy in some form is supplied to reverse the direction of heat flow. Another definition is: "Not all heat energy can be converted into work in a cyclic process." The second law of thermodynamics in other versions establishes the concept of entropy as a physical property of a thermodynamic system.

Onsager reciprocal relations

In thermodynamics, the Onsager reciprocal relations express the equality of certain ratios between flows and forces in thermodynamic systems out of equilibrium, but where a notion of local equilibrium exists. "Reciprocal relations" occur between different pairs of forces and flows in a variety of physical systems. For example, consider fluid systems described in terms of temperature, matter density, and pressure.

First law of thermodynamics

The first law of thermodynamics is a formulation of the law of conservation of energy, adapted for thermodynamic processes. A simple formulation is: "The total energy in a system remains constant, although it may be converted from one form to another." Another common phrasing is that "energy can neither be created nor destroyed". While there are many subtleties and implications that may be more precisely captured in more complex formulations, this is the essential principle of the First Law.

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