The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Sauro Succi - One of the best experts on this subject based on the ideXlab platform.
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Entropy Production in thermal phase separation: a kinetic-theory approach
Soft matter, 2019Co-Authors: Yudong Zhang, Guangcai Zhang, Yanbiao Gan, Zhihua Chen, Sauro SucciAbstract:Entropy Production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The Entropy Production rate is found to increase during the spinodal decomposition stage and to decrease during the domain growth stage, attaining its maximum at the crossover between the two. Such behaviour provides a natural criterion to identify and discriminate between the two regimes. Furthermore, the effects of heat conductivity, viscosity and surface tension on the Entropy Production rate are investigated by systematically probing the interplay between non-equilibrium energy and momentum fluxes. It is found that the Entropy Production rate due to energy fluxes is an increasing function of the Prandtl number, while the momentum fluxes exhibit an opposite trend. On the other hand, both contributions show an increasing trend with surface tension. The present analysis inscribes within the general framework of non-equilibrium thermodynamics and consequently it is expected to be relevant to a broad class of soft-flowing systems far from mechanical and thermal equilibrium.
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Entropy Production in thermal phase separation a kinetic theory approach
Soft Matter, 2019Co-Authors: Yudong Zhang, Guangcai Zhang, Zhihua Chen, Sauro Succi, Aiguo XuAbstract:Entropy Production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The Entropy Production rate is found to increase during the spinodal decomposition stage and to decrease during the domain growth stage, attaining its maximum at the crossover between the two. Such behaviour provides a natural criterion to identify and discriminate between the two regimes. Furthermore, the effects of heat conductivity, viscosity and surface tension on the Entropy Production rate are investigated by systematically probing the interplay between non-equilibrium energy and momentum fluxes. It is found that the Entropy Production rate due to energy fluxes is an increasing function of the Prandtl number, while the momentum fluxes exhibit an opposite trend. On the other hand, both contributions show an increasing trend with surface tension. The present analysis inscribes within the general framework of non-equilibrium thermodynamics and consequently it is expected to be relevant to a broad class of soft-flowing systems far from mechanical and thermal equilibrium.
Mário J. De Oliveira - One of the best experts on this subject based on the ideXlab platform.
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stochastic thermodynamics and Entropy Production of chemical reaction systems
Journal of Chemical Physics, 2018Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end, we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states and on appropriate definitions of Entropy and Entropy Production. The system is in contact with a heat reservoir and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description in terms of the numbers of particles of each species, from which follows the chemical master equation. As an example, we calculate the rate of Entropy Production of the first and second Schlogl reaction models.We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end, we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states and on appropriate definitions of Entropy and Entropy Production. The system is in contact with a heat reservoir and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description ...
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stochastic thermodynamics and Entropy Production of chemical reaction systems
arXiv: Statistical Mechanics, 2018Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states, and on appropriate definitions of Entropy and Entropy Production, The system is in contact with a heat reservoir, and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description in terms of the numbers of particles of each species, from which follows the chemical master equation. As an example, we calculate the rate of Entropy Production of the first and second Schl\"ogl reaction models.
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Entropy Production in nonequilibrium systems at stationary states.
Physical review letters, 2012Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract: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.
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Entropy Production in irreversible systems described by a fokker planck equation
Physical Review E, 2010Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We analyze the irreversibility and the Entropy Production in nonequilibrium interacting particle systems described by a Fokker-Planck equation by the use of a suitable master equation representation. The irreversible character is provided either by nonconservative forces or by the contact with heat baths at distinct temperatures. The expression for the Entropy Production is deduced from a general definition, which is related to the probability of a trajectory in phase space and its time reversal, that makes no reference a priori to the dissipated power. Our formalism is applied to calculate the heat conductance in a simple system consisting of two Brownian particles each one in contact to a heat reservoir. We show also the connection between the definition of Entropy Production rate and the Jarzynski equality.
Tânia Tomé - One of the best experts on this subject based on the ideXlab platform.
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stochastic thermodynamics and Entropy Production of chemical reaction systems
Journal of Chemical Physics, 2018Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end, we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states and on appropriate definitions of Entropy and Entropy Production. The system is in contact with a heat reservoir and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description in terms of the numbers of particles of each species, from which follows the chemical master equation. As an example, we calculate the rate of Entropy Production of the first and second Schlogl reaction models.We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end, we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states and on appropriate definitions of Entropy and Entropy Production. The system is in contact with a heat reservoir and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description ...
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stochastic thermodynamics and Entropy Production of chemical reaction systems
arXiv: Statistical Mechanics, 2018Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of chemical reaction systems based on a master equation defined on the space of microscopic chemical states, and on appropriate definitions of Entropy and Entropy Production, The system is in contact with a heat reservoir, and is placed out of equilibrium by the contact with particle reservoirs. In our approach, the fluxes of various types, such as the heat and particle fluxes, play a fundamental role in characterizing the nonequilibrium chemical state. We show that the rate of Entropy Production in the stationary nonequilibrium state is a bilinear form in the affinities and the fluxes of reaction, which are expressed in terms of rate constants and transition rates, respectively. We also show how the description in terms of microscopic states can be reduced to a description in terms of the numbers of particles of each species, from which follows the chemical master equation. As an example, we calculate the rate of Entropy Production of the first and second Schl\"ogl reaction models.
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Entropy Production in nonequilibrium systems at stationary states.
Physical review letters, 2012Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract: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.
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Entropy Production in irreversible systems described by a fokker planck equation
Physical Review E, 2010Co-Authors: Tânia Tomé, Mário J. De OliveiraAbstract:We analyze the irreversibility and the Entropy Production in nonequilibrium interacting particle systems described by a Fokker-Planck equation by the use of a suitable master equation representation. The irreversible character is provided either by nonconservative forces or by the contact with heat baths at distinct temperatures. The expression for the Entropy Production is deduced from a general definition, which is related to the probability of a trajectory in phase space and its time reversal, that makes no reference a priori to the dissipated power. Our formalism is applied to calculate the heat conductance in a simple system consisting of two Brownian particles each one in contact to a heat reservoir. We show also the connection between the definition of Entropy Production rate and the Jarzynski equality.
Takahiro Sagawa - One of the best experts on this subject based on the ideXlab platform.
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Estimating Entropy Production by machine learning of short-time fluctuating currents.
Physical review. E, 2020Co-Authors: Shun Otsubo, Sosuke Ito, Andreas Dechant, Takahiro SagawaAbstract:Thermodynamic uncertainty relations (TURs) are the inequalities which give lower bounds on the Entropy Production rate using only the mean and the variance of fluctuating currents. Since the TURs do not refer to the full details of the stochastic dynamics, it would be promising to apply the TURs for estimating the Entropy Production rate from a limited set of trajectory data corresponding to the dynamics. Here we investigate a theoretical framework for estimation of the Entropy Production rate using the TURs along with machine learning techniques without prior knowledge of the parameters of the stochastic dynamics. Specifically, we derive a TUR for the short-time region and prove that it can provide the exact value, not only a lower bound, of the Entropy Production rate for Langevin dynamics, if the observed current is optimally chosen. This formulation naturally includes a generalization of the TURs with the partial Entropy Production of subsystems under autonomous interaction, which reveals the hierarchical structure of the estimation. We then construct estimators on the basis of the short-time TUR and machine learning techniques such as the gradient ascent. By performing numerical experiments, we demonstrate that our learning protocol performs well even in nonlinear Langevin dynamics. We also discuss the case of Markov jump processes, where the exact estimation is shown to be impossible in general. Our result provides a platform that can be applied to a broad class of stochastic dynamics out of equilibrium, including biological systems.
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Geometrical Excess Entropy Production in Nonequilibrium Quantum Systems
Journal of Statistical Physics, 2013Co-Authors: Tatsuro Yuge, Takahiro Sagawa, Ayumu Sugita, Hisao HayakawaAbstract:For open systems described by the quantum Markovian master equation, we study a possible extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs). We investigate the excess heat divided by temperature (i.e., excess Entropy Production) which is transferred into the system during the operations. We derive a geometrical expression for the excess Entropy Production, which is analogous to the Berry phase in unitary evolution. Our result implies that in general one cannot define a scalar potential whose difference coincides with the excess Entropy Production in a thermodynamic process, and that a vector potential plays a crucial role in the thermodynamics for NESSs. In the weakly nonequilibrium regime, we show that the geometrical expression reduces to the extended Clausius equality derived by Saito and Tasaki (J. Stat. Phys. 145:1275, 2011 ). As an example, we investigate a spinless electron system in quantum dots. We find that one can define a scalar potential when the parameters of only one of the reservoirs are modified in a non-interacting system, but this is no longer the case for an interacting system.
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Role of mutual information in Entropy Production under information exchanges
New Journal of Physics, 2013Co-Authors: Takahiro Sagawa, Masahito UedaAbstract:We relate the information exchange between two stochastic systems to the nonequilibrium Entropy Production in the whole system. By deriving a general formula that decomposes the total Entropy Production into the thermodynamic and informational parts, we obtain nonequilibrium equalities such as the fluctuation theorem in the presence of information processing. Our results apply not only to situations under measurement and feedback control, but also to those under multiple information exchanges between two systems, giving the fundamental energy cost for information processing and elucidating the thermodynamic and informational roles of a memory in information processing. We clarify a dual relationship between measurement and feedback.
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geometrical expression of excess Entropy Production
Physical Review E, 2011Co-Authors: Takahiro Sagawa, Hisao HayakawaAbstract:We derive a geometrical expression of the excess Entropy Production for quasistatic transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The obtained expression is geometrical; the excess Entropy Production depends only on a trajectory in the parameter space, analogous to the Berry phase in quantum mechanics. Our results imply that vector potentials are needed to construct the thermodynamics of nonequilibrium steady states.
Yudong Zhang - One of the best experts on this subject based on the ideXlab platform.
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Entropy Production in thermal phase separation: a kinetic-theory approach
Soft matter, 2019Co-Authors: Yudong Zhang, Guangcai Zhang, Yanbiao Gan, Zhihua Chen, Sauro SucciAbstract:Entropy Production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The Entropy Production rate is found to increase during the spinodal decomposition stage and to decrease during the domain growth stage, attaining its maximum at the crossover between the two. Such behaviour provides a natural criterion to identify and discriminate between the two regimes. Furthermore, the effects of heat conductivity, viscosity and surface tension on the Entropy Production rate are investigated by systematically probing the interplay between non-equilibrium energy and momentum fluxes. It is found that the Entropy Production rate due to energy fluxes is an increasing function of the Prandtl number, while the momentum fluxes exhibit an opposite trend. On the other hand, both contributions show an increasing trend with surface tension. The present analysis inscribes within the general framework of non-equilibrium thermodynamics and consequently it is expected to be relevant to a broad class of soft-flowing systems far from mechanical and thermal equilibrium.
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Entropy Production in thermal phase separation a kinetic theory approach
Soft Matter, 2019Co-Authors: Yudong Zhang, Guangcai Zhang, Zhihua Chen, Sauro Succi, Aiguo XuAbstract:Entropy Production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The Entropy Production rate is found to increase during the spinodal decomposition stage and to decrease during the domain growth stage, attaining its maximum at the crossover between the two. Such behaviour provides a natural criterion to identify and discriminate between the two regimes. Furthermore, the effects of heat conductivity, viscosity and surface tension on the Entropy Production rate are investigated by systematically probing the interplay between non-equilibrium energy and momentum fluxes. It is found that the Entropy Production rate due to energy fluxes is an increasing function of the Prandtl number, while the momentum fluxes exhibit an opposite trend. On the other hand, both contributions show an increasing trend with surface tension. The present analysis inscribes within the general framework of non-equilibrium thermodynamics and consequently it is expected to be relevant to a broad class of soft-flowing systems far from mechanical and thermal equilibrium.