24 citations · 201 across the 33 of their papers we have counts for
22 papers · 1 filter
Prediction and Retrodiction in Statistical Mechanics from the Principle of Maximum Caliber
Ignacio Tapia, Gonzalo Gutiérrez, Sergio Davis
A statistical, path-dependent framework to describe time-dependent macroscopic theories using the Principle of Maximum Caliber is presented. By means of this procedure, it is possi…
Configurational density of states and melting of simple solids
Sergio Davis, Claudia Loyola, Joaquín Peralta
We analyze the behavior of the microcanonical and canonical caloric curves for a piecewise model of the configurational density of states of simple solids, in the context of meltin…
A classification of nonequilibrium steady states based on temperature correlations
Sergio Davis
Although generalized ensembles have now been in use in statistical mechanics for decades, including frameworks such as Tsallis' nonextensive statistics and superstatistics, a class…
Temperature fluctuations in finite systems: Application to the one-dimensional Ising chain
Constanza Farías, Sergio Davis
The theory of superstatistics, originally proposed for the study of complex nonequilibrium systems, has recently been extended to studies of small systems interacting with a finite…
A novel Bayesian approach to the computation of the configurational density of states
Felipe Moreno, Sergio Davis, Joaquín Peralta
In this work we develop and implement a novel Bayesian method for computing the DOS of a system. This method is based on the use of a test function with adjustable parameters and w…
The -canonical ensemble as a consequence of Bayesian superstatistics
Sergio Davis
Superstatistics is a generalization of equilibrium statistical mechanics that describes systems in nonequilibrium steady states. Among the possible superstatistical distributions,…
Fluctuating temperature outside superstatistics: thermodynamics of small systems
Sergio Davis
The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small,…
A portable and flexible implementation of the Wang--Landau algorithm in order to determine the Density of States
Felipe Moreno, Joaquín Peralta, Sergio Davis
In this work we develop an implementation of the Wang--Landau algorithm [Phys. Rev. Lett. \textbf{86}, 2050-2053 (2001)]. This algorithm allows us to find the density of states (DO…
Multiple metastable states in an off-lattice Potts model
Constanza Farías, Sergio Davis
The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others)…
Conditional maximum entropy and Superstatistics
Sergio Davis
Superstatistics describes nonequilibrium steady states as superpositions of canonical ensembles with a probability distribution of temperatures. Rather than assume a certain distri…
Fluctuation theorems in nonextensive statistics
Haridas Umpierrez, Sergio Davis
Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, particularly the so-called exponenti…
On the possible distributions of temperature in nonequilibrium steady states
Sergio Davis
Superstatistics is a framework in nonequilibrium statistical mechanics that successfully describes a wide variety of complex systems, including hydrodynamic turbulence, weakly-coll…
Extended correlations in the critical superheated solid
Vivianne Olguín-Arias, Sergio Davis, Gonzalo Gutiérrez
Metastable states in first-order phase transitions reveal interesting behavior about a wide range of systems in statistical mechanics, including spin systems, cellular automata and…
Deterministic physical systems under uncertain initial conditions: the case of maximum entropy applied to projectile motion
Alejandra Montecinos, Sergio Davis, Joaquín Peralta
The kinematics and dynamics of deterministic physical systems have been a foundation of our understanding of the world since Galileo and Newton. For real systems, however, uncertai…
Bayesian statistical modelling of microcanonical melting times at the superheated regime
Sergio Davis, Claudia Loyola, Joaquín Peralta
Homogeneous melting of superheated crystals at constant energy is a dynamical process, believed to be triggered by the accumulation of thermal vacancies and their self-diffusion. F…
Microcanonical Monte Carlo approach for computing melting curves by atomistic simulations
Sergio Davis, Gonzalo Gutiérrez
We report microcanonical Monte Carlo simulations of melting and superheating of a generic, Lennard-Jones system starting from the crystalline phase. The isochoric curve, the meltin…
Emergence of Tsallis statistics as a consequence of invariance
Sergio Davis, Gonzalo Gutiérrez
For non-equilibrium systems in a steady state we present two necessary and sufficient conditions for the emergence of -canonical ensembles, also known as Tsallis statistics. The…
Jarzynski equality in the context of maximum path entropy
Diego González, Sergio Davis
In the global framework of finding an axiomatic derivation of nonequilibrium Statistical Mechanics from fundamental principles, such as the maximum path entropy -- also known as Ma…
Continuity equation for probability as a requirement of inference over paths
Diego González, Daniela Díaz, Sergio Davis
In this work we present the fundamental ideas of inference over paths, and show how this formalism implies the continuity equation, which is central for the derivation of the main…
Applications of the divergence theorem in Bayesian inference and MaxEnt
Sergio Davis, Gonzalo Gutiérrez
Given a probability density , where represents continuous degrees of freedom and a set of parameters, it is possible to construct a general…
Temperature is not an observable in superstatistics
Sergio Davis, Gonzalo Gutiérrez
Superstatistics (Physica A 322, 267-275, 2003) is a formalism that attempts to explain the presence of distributions other than the Boltzmann-Gibbs distributions in Nature, typical…
A Bayesian interpretation of abrupt phase transitions
Sergio Davis, Joaquín Peralta, Yasmín Navarrete +2
The formalism used in describing the thermodynamics of abrupt (or first-order) phase transitions is reviewed as an application of maximum entropy inference. In this treatment, we s…