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How can the metastable states be explained and combined with the thermodynamic principles? 


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Metastable states can be explained and combined with thermodynamic principles by considering the deviation from equilibrium and the role of energy exchanges. In the case of phase coexistence in heat conduction, the temperature of the interface between ordered and disordered states deviates from the equilibrium transition temperature, indicating the stabilization of metastable states by the influence of a heat flux . The nature of metastability can be understood through the free energy as a function of the order parameter, which provides an intuitive understanding of the metastable states in equilibrium . Mathematical models, including lattice models and stochastic partial differential equations, are used to describe metastability and reveal unexpected links with spectral determinants . Statistical thermodynamics in situations of metaequilibrium or metastability considers the heat absorbed and work performed by the system, expressed in terms of energy exchanges and time-autocorrelations of dynamical variables .

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Open accessJournal ArticleDOI
01 Apr 2017-Meccanica
5 Citations
The paper explains how statistical thermodynamics can be applied to metaequilibrium or metastable states, such as supercooled liquids or glasses. It shows that the principles of thermodynamics can be combined with these states by considering the heat absorbed and work performed by the system. The coefficients of the fundamental form \(\delta Q-\delta W\) are derived, and the closure of the form and the second principle of thermodynamics are shown to be manifest. The coefficients are expressed in terms of time-autocorrelations of dynamical variables, similar to fluctuation dissipation theory for equilibrium states. The paper does not explicitly explain the concept of metastable states, but it provides a framework for incorporating them into statistical thermodynamics.
The paper explains that metastable states in the Hamiltonian Potts model are stabilized by the influence of a heat flux, and this deviation from equilibrium is described by an extended framework of thermodynamics.
The paper explains that metastable states in the Hamiltonian Potts model are stabilized by the influence of a heat flux. The deviation of the temperature at the interface between ordered and disordered states from the equilibrium transition temperature is described by an extended framework of thermodynamics.
The paper provides an intuitive understanding of metastability in thermodynamic systems by using the mean-field method and the free energy as a potential energy for the order parameter.

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