22 citations · 205 across the 45 of their papers we have counts for
31 papers · 1 filter
A pure non-neutral plasma under an external harmonic field: equilibrium thermodynamics and chaos
B. F. I. Espinoza-Lozano, F. A. Calderón, L. Velazquez
Motivated by the precedent study of Ordenes-Huanca and Velazquez [JSTAT \textbf{093303} (2016)], we address the study of a simple model of a pure non-neutral plasma: a system of id…
Thermodynamics of gravitational clustering phenomena: -body self-gravitating gas on the sphere
F. Tello-Ortiz, L. Velazquez
This work is devoted to the thermodynamics of gravitational clustering, a collective phenomenon with a great relevance in the -body cosmological problem. We study a classical se…
Extended canonical Monte Carlo methods: Improving accuracy of microcanonical calculations using a re-weighting technique
L. Velazquez, J. C. Castro-Palacio
Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms that are based on canonical ensemble. According to our previous study, their proposal allows us t…
Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions
L. Velazquez, J. C. Castro-Palacio
Recently, Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms based on canonical ensemble, which is aimed to overcome slow sampling problems associat…
Principles of classical statistical mechanics: A perspective from the notion of complementarity
L. Velazquez
Quantum mechanics and classical statistical mechanics are two physical theories that share several analogies in their mathematical apparatus and physical foundations. In particular…
Understanding critical behavior in the framework of the extended equilibrium fluctuation theorem
L. Velazquez, S. Curilef
Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of state…
Riemannian thermo-statistics geometry
L Velazquez
It is developed a Riemannian reformulation of classical statistical mechanics for systems in thermodynamic equilibrium, which arises as a natural extension of Ruppeiner geometry of…
Extending canonical Monte Carlo methods II
L. Velazquez, S. Curilef
Previously, we have presented a methodology to extend canonical Monte Carlo methods inspired on a suitable extension of the canonical fluctuation relation compati…
Extending canonical Monte Carlo methods
L. Velazquez, S. Curilef
In this work, we discuss the implications of a recently obtained equilibrium fluctuation-dissipation relation on the extension of the available Monte Carlo methods based on the con…
Remarks about the thermostatistical description of the HMF model Part II: Phenomenology of Relaxation Dynamics
L. Velazquez, F. Guzman
After a general overview of some features of the relaxation dynamics of the Hamiltonian Mean Field model, its equilibrium thermodynamic properties are used to rephrase the out-of-e…
Remarks about the thermostatistical description of the HMF model Part I: Equilibrium Thermodynamics
L. Velazquez, F. Guzman
In this series of papers we shall carry out a reconsideration of the thermodynamical behavior of the called HMF model, a paradigmatic ferromagnetic toy model exhibiting many featur…
Uncertainty relations of Statistical Mechanics
L. Velazquez, S. Curilef
Recently, we have presented some simple arguments supporting the existence of certain complementarity between thermodynamic quantities of temperature and energy, an idea suggested…
Geometrical aspects and connections of the energy-temperature fluctuation relation
L. Velazquez, S. Curilef
Recently, we have derived a generalization of the known canonical fluctuation relation between heat capacity and energy fluctuations, which can account…
Equilibrium fluctuation theorems compatible with anomalous response
L. Velazquez, S. Curilef
Previously, we have derived a generalization of the canonical fluctuation relation between heat capacity and energy fluctuations , which is able to describe the ex…
Thermodynamic fluctuation relation for temperature and energy
L. Velazquez, S. Curilef
The present work extends the well-known thermodynamic relation for the canonical ensemble. We start from the general situation of the thermodynamic equilibrium…
Generalized Gibbs canonical ensemble: A possible physical scenario
L. Velazquez
After reviewing some fundamental results derived from the introduction of the generalized Gibbs canonical ensemble, such as the called thermodynamic uncertainty relation, it is des…
Enhancing Monte Carlo methods by using a generalized fluctuation theory
L. Velazquez
According to the recently obtained thermodynamic uncertainty relation, the microcanonical regions with a negative heat capacity can be accessed within a canonical-like description…
Generalized Fluctuation Theory based on the reparametrization invariance of the microcanonical ensemble
L. Velazquez
The main interest of the present work is the generalization of the Boltzmann-Gibbs distributions and the fluctuation theory based on the consideration of the reparametrization inva…
Basis of a non Riemannian Geometry within the Equilibrium Thermodynamics
L. Velazquez, F. Guzman
Microcanonical description is characterized by the presence of an internal symmetry closely related with the dynamical origin of this ensemble: the reparametrization invariance. Su…
Metropolis Monte Carlo algorithm based on the reparametrization invariance
L. Velazquez, J. C. Castro Palacio
We introduce a modification of the well-known Metropolis importance sampling algorithm by using a methodology inspired on the consideration of the reparametrization invariance of t…
Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws
L. Velazquez, F. Guzman
The foundations for a thermo-statistical description of the called non extensive Hamiltonian systems are reconsidered. The relevance of the parametric resonance as a fundamental me…
Thermo-Statistical description of the Hamiltonian non extensive systems: The reparametrization invariance
L. Velazquez, F. Guzman
In the present paper we continue our reconsideration about the foundations for a thermostatistical description of the called Hamiltonian nonextensive systems (see in cond-mat/06042…
Remarks about the Phase Transitions within the Microcanonical description
L. Velazquez, F. Guzman
According to the reparametrization invariance of the microcanonical ensemble, the only microcanonically relevant phase transitions are those involving an ergodicity breaking in the…
Quasi-stationary evolution of systems driven by particle evaporation
L. Velazquez, H. Mosquera Cuesta, F. Guzman
We study the quasi-stationary evolution of systems where an energetic confinement is unable to completely retain their constituents. It is performed an extensive numerical study of…