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The role of time in nonequilibrium: transition-based coarse-graining, phase transitions and heat engines

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Author(s):
Pedro Eduardo Harunari
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Carlos Eduardo Fiore dos Santos; Marcus Vinicius Segantini Bonança; Ronald Dickman; Domingos Sávio Pereira Salazar; Andre de Pinho Vieira
Advisor: Carlos Eduardo Fiore dos Santos
Abstract

The challenge of extending thermodynamics to the nonequilibrium regime is a fundamental problem in statistical physics that has witnessed many developments in recent years. Stochastic thermodynamics was developed in this context, it describes energy transformations from the mathematics of Markov process, constituting a relevant toolbox in modern statistical physics. One of its main quantities, entropy production, extends the second law and quantifies time irreversibility. In the present doctoral thesis, we study distinct nonequilibrium thermodynamics problems such as the inference of entropy production from partial information and its usage as a phase transition indicator. More specifically, in the first part, we develop a framework to assess the statistics of systems through the observation of a set of visible transitions and its implications to thermodynamics and biophysics. We prove a lower bound for the entropy production tighter than other known inequalities and study its saturation, and we also recover a fluctuation theorem for partially observed dynamics. In the second part, we show that entropy production locates and distinguishes continuous and first-order phase transitions. Fluctuations of integrated currents in the vicinity of first-order phase transitions are addressed, in particular the key interplay between observation time and inter-phase tunneling times. Lastly, we address the thermodynamics of finite-time heat engines and their optimization, in particular through the control of interaction time between system and reservoirs and interaction between particles. (AU)

FAPESP's process: 17/24567-0 - Phase transition, temporal disorder and entropy production in systems with inversion symmetry
Grantee:Pedro Eduardo Harunari
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)