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Thermodynamic quantities, like heat, entropy, or work, are random variables, in stochastic systems. Here, we investigate the statistics of the heat exchanged by a Brownian particle subjected to a logarithm-harmonic potential. We derive…

Statistical Mechanics · Physics 2021-12-08 Pedro V. Paraguassú , Welles A. M Morgado

The two-mode even and odd coherent states and two-mode squeezed correlated state are discussed. Photon distribution functions, means, dispersions, Fano factor for even and odd coherent states and squeezed correlated state are calculated.…

Quantum Physics · Physics 2019-03-27 Sergey V. Kuznetsov , Aleksander V. Kyusev , Olga V. Man'ko

Morphological measures are introduced to probe the complex procedure of shock wave reaction on porous material. They characterize the geometry and topology of the pixelized map of a state variable like the temperature. Relevance of them to…

Materials Science · Physics 2009-11-13 Aiguo Xu , Guangcai Zhang , X. F. Pan , Ping Zhang , Jianshi Zhu

The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner and the coherent-state quasiprobabilities are also presented…

Quantum Physics · Physics 2009-10-30 Vladimir I. Man'ko , Alfred Wünsche

We discuss here the use of generalized forms of entropy, taken as information measures, to characterize phase transitions and critical behavior in thermodynamic systems. Our study is based on geometric considerations pertaining to the space…

Statistical Mechanics · Physics 2009-04-14 M. Portesi , F. Pennini , A. Plastino

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

The method to calculate the grand partition function of a particle system, in which constituents interact with each other via potential, that include repulsive and attractive components, is proposed. The cell model, which was introduced to…

Statistical Mechanics · Physics 2016-04-14 Mikhailo Kozlovskii , Oksana Dobush

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

We derive the thermal correlators for twisted quantum fields on noncommutative spacetime. We show that the thermal expectation value of the number operator is same as in commutative spacetime, but that higher correlators are sensitive to…

High Energy Physics - Theory · Physics 2014-11-20 Prasad Basu , Rahul Srivastava , Sachindeo Vaidya

Threshold effects in the estimation of parameters of non-linearly modulated, continuous-time, wide-band waveforms, are examined from a statistical physics perspective. These threshold effects are shown to be analogous to phase transitions…

Information Theory · Computer Science 2010-05-21 Neri Merhav

A thermodynamic formulation of jammed matter is reviewed. Experiments and simulations of compressed emulsions and granular materials are then used to provide a foundation for the thermodynamics.

Soft Condensed Matter · Physics 2007-05-23 Hernan A. Makse , Jasna Brujic , Sam F. Edwards

We present an analysis of the stationary distributions of run-and-tumble particles trapped in external potentials in terms of a thermophoretic potential, that emerges when trapped active motion is mapped to trapped passive Brownian motion…

Statistical Mechanics · Physics 2019-02-06 Francisco J. Sevilla , Alejandro V. Arzola , Enrique Puga Cital

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

We examine the majorization properties of general thermal-like mixed states depending on a set of parameters. Sufficient conditions which ensure the increase in mixedness, and hence of any associated entropic form, when these parameters are…

Statistical Mechanics · Physics 2015-05-13 N. Canosa , R. Rossignoli , M. Portesi

A thermodynamics for systems at a stationary states is formulated. It is based upon the assumption of the existence of local equilibrium in phase space which enables one to interpret the probability density ans its conjugated nonequilibrium…

Statistical Mechanics · Physics 2007-05-23 I. Santamaria-Holek , J. M. Rubi , A. Perez-Madrid

The imaginary time path integral formalism is applied to a nonlinear Hamiltonian for a short fragment of heterogeneous DNA with a stabilizing solvent interaction term. Torsional effects are modeled by a twist angle between neighboring base…

Biomolecules · Quantitative Biology 2011-09-19 Marco Zoli

Using the normally ordered Gaussian form of displaced-squeezed thermal field characteristic of average photon number n, we introduce the photon-added squeezed thermo state (PASTS) and investigate its statistical properties, such as Mandel's…

Quantum Physics · Physics 2015-05-13 Xue-xiang Xu , Li-yun Hu , Hong-yi Fan

The displacement fluctuations of mirrors in optomechanical devices, induced via thermal expansion by temperature fluctuations due either to thermodynamic fluctuations or to fluctuations in the photon absorption, can be made smaller than…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Cerdonio , L. Conti , A. Heidmann , M. Pinard

The wavelet transform, a family of orthonormal bases, is introduced as a technique for performing multiresolution analysis in statistical mechanics. The wavelet transform is a hierarchical technique designed to separate data sets into sets…

Chemical Physics · Physics 2009-11-07 Ahmed E. Ismail , Gregory C. Rutledge , George Stephanopoulos

We present general calculations allowing to express the thermodynamical coefficients and thermophysical properties (compressibility, thermal coefficients and heat capacities) of a material composed of a mixture of two constituents or…

Classical Physics · Physics 2021-08-24 S Benjelloun , R. Boukharfane
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