4.8 Article

Entropy Production in Nonequilibrium Systems at Stationary States

Journal

PHYSICAL REVIEW LETTERS
Volume 108, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.020601

Keywords

-

Ask authors/readers for more resources

We present a stochastic approach to nonequilibrium thermodynamics based on the expression of the entropy production rate advanced by Schnakenberg for systems described by a master equation. From the microscopic Schnakenberg expression we get the macroscopic bilinear form for the entropy production rate in terms of fluxes and forces. This is performed by placing the system in contact with two reservoirs with distinct sets of thermodynamic fields and by assuming an appropriate form for the transition rate. The approach is applied to an interacting lattice gas model in contact with two heat and particle reservoirs. On a square lattice, a continuous symmetry breaking phase transition takes place such that at the nonequilibrium ordered phase a heat flow sets in even when the temperatures of the reservoirs are the same. The entropy production rate is found to have a singularity at the critical point of the linear-logarithm type.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.8
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

Stochastic Approach to Epidemic Spreading

Tania Tome, Mario J. de Oliveira

BRAZILIAN JOURNAL OF PHYSICS (2020)

Article Physics, Multidisciplinary

Positive heat capacity in the microcanonical ensemble

Mario J. de Oliveira

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Article Physics, Multidisciplinary

Effect of Immunization Through Vaccination on Deterministic Models for Epidemic Spreading

Tania Tome, Ana Tereza C. Silva, Mario J. de Oliveira

Summary: Vaccination can lead to the eradication of disease or flattening of the epidemic curve in deterministic models of epidemic spreading.

BRAZILIAN JOURNAL OF PHYSICS (2021)

Article Physics, Multidisciplinary

Parametric Invariance

Mario J. de Oliveira

Summary: This paper examines the development of the concept of parametric invariance in different fields, focusing on its relation to entropy. The study shows that a slow parametric change leads to an adiabatic process, enabling the definition of entropy as a parametric invariance.

BRAZILIAN JOURNAL OF PHYSICS (2022)

Article Physics, Multidisciplinary

Effect of immunization through vaccination on the SIS epidemic spreading model

Tania Tome, Mario J. de Oliveira

Summary: This study analyzed the impact of vaccination on the susceptible-infected-susceptible model for epidemic spreading, revealing that when the fraction of vaccinated individuals exceeds a critical value, the disease transmission eventually becomes extinct.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Physics, Multidisciplinary

Stochastic Approach to Population Dynamics

Tania Tome, Mario J. de Oliveira

Summary: We analyze a stochastic approach to population dynamics and show that the average number of individuals follows the same differential equations as the deterministic approach. Stochastic fluctuations and oscillations in population numbers are proportional to the square root of the population size. This approach predicts extinction of species with small populations due to stochastic fluctuations.

BRAZILIAN JOURNAL OF PHYSICS (2023)

Article Physics, Multidisciplinary

Real Space Renormalization Group of the Chiral Potts Model

Dora Izzo, Mario J. de Oliveira

Summary: The chiral Potts model is investigated using the real space renormalization group method. The renormalization group scheme proposed by Niemeyer and Van Leeuwen is employed, with an approximation keeping only the first term in the cumulant expansion. Recurrence relations are derived for arbitrary number of states, renormalization factor, and lattice dimension. By using a renormalization factor b = 4, the phase diagram of the three-state model on a square lattice is obtained in terms of the chiral field and temperature, showing two regions: a disordered phase corresponding to paramagnetism, and a modulated phase with structures described by rational wave numbers.

BRAZILIAN JOURNAL OF PHYSICS (2023)

Article Physics, Multidisciplinary

Nonequilibrium quantum stochastic thermodynamics for bosons and fermions

Tania Tome, Mario J. de Oliveira

Summary: We use a canonical quantization procedure to obtain the quantum Fokker-Planck equation and develop a quantum stochastic thermodynamics based on this equation. The approach is applied to a system in contact with two reservoirs and allows us to determine the entropy production rate, heat flux, and particle flux. For noninteracting systems, the usual expression for the mean occupation number for bosons and fermions is obtained.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2023)

Article Physics, Fluids & Plasmas

Stochastic motion in phase space on a surface of constant energy

Tania Tome, Mario J. de Oliveira

Summary: This study focuses on closed systems of particles subject to stochastic forces, where the evolution equation for the probability density is derived to show the increase in entropy over time, indicating irreversible behavior and relaxation to equilibrium, contrasting with the Liouville equation which does not exhibit irreversibility in closed systems.

PHYSICAL REVIEW E (2022)

Article Physics, Fluids & Plasmas

Molecular model for nematic, smectic-A, and smectic-C liquid crystals

Mario J. de Oliveira, Dora Izzo

PHYSICAL REVIEW E (2020)

Article Physics, Fluids & Plasmas

Stochastic thermodynamics of systems with a continuous space of states

Mario J. de Oliveira

PHYSICAL REVIEW E (2020)

Article Physics, Fluids & Plasmas

Entropy production and heat transport in harmonic chains under time-dependent periodic drivings

Bruno A. N. Akasaki, Mario J. de Oliveira, C. E. Fiore

PHYSICAL REVIEW E (2020)

Article Physics, Fluids & Plasmas

Analysis of earlier times and flux of entropy on the majority voter model with diffusion

Roberto da Silva, Mario J. de Oliveira, Tania Tome, J. R. Drugowich de Felicio

PHYSICAL REVIEW E (2020)

No Data Available