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Comparing Temperatures: Cold vs. Hot, Equilibrium of Particle Types

Explore the concept of temperature equilibrium with the Generalized Equipartition Theorem (GET) and HyperVirial Temperatures. Learn how to compare thermal states and understand the dynamics of particles at different temperatures. Discover the relationship between Clausius' virial Theorem and configurational temperature variations in a thermodynamic system.

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Comparing Temperatures: Cold vs. Hot, Equilibrium of Particle Types

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  1. cold hot Which Box Is Colder? same type of particles at equilibrium

  2. 1 ¶ S · F ({ q }) F ({ q }) = i i kT - Ñ · F ({ q }) = = i B P ( p , , p ) L 1 3 N Configurational TemperatureJCP 1998 PRE 2000 Generalized Equipartition Theorem (GET) PRL 2004 HyperConfigurational temperature Clausius’ virial Theorem HyperVirial Temperatures JCP 1960 PRL 1997 B is an arbitrary function = T ¶ E V,N A Family of Expressions of Thermodynamic Temperatures Equipartition Theorem

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