Field-induced canting of magnetic moments in GdCo5 at finite temperature: first-principles calculations and high-field measurements by Patrick, CE, Kumar, S, Götze, K, Pearce, MJ, Singleton, J, Rowlands, G, Balakrishnan, G, Lees, MR, Goddard, PA, Staunton, JB

“…We assign this difference to the inaccurate description of the zero-field magnetization of the calculations at low temperatures, due to the use of classical statistical mechanics. Correcting for this effect, we recover a consistent description of the high-field magnetization of GdCo5 from theory and experiment.…”

Detecting Quantum Critical Points of Correlated Systems by Quantum Convolutional Neural Network Using Data from Variational Quantum Eigensolver by Nathaniel Wrobel, Anshumitra Baul, Ka-Ming Tam, Juana Moreno

“…Machine learning has been applied to a wide variety of models, from classical statistical mechanics to quantum strongly correlated systems, for classifying phase transitions. …”
Get full text

Constraints on magic state protocols from the statistical mechanics of Wigner negativity by Nikolaos Koukoulekidis, David Jennings

“…This use of majorization for quasi-distributions could find application in other studies of non-classicality, and raises nontrivial questions in the context of classical statistical mechanics.…”
Get full text

A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation by Flavia Pennini, Angel Plastino, Mario Rocca, Gustavo Ferri

“…We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton’s gravitation. …”
Get full text

Setting Boundaries for Statistical Mechanics by Bob Eisenberg

“…Boundaries and boundary conditions needed to describe matter are not prominent in classical statistical mechanics. Statistical mechanics of bounded systems is described in the EnVarA system of variational mechanics developed by Chun Liu, more than anyone else. …”
Get full text

8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2007 by Kardar, Mehran

“…Topics include: thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles.…”
Get full text

Dulmage-Mendelsohn Percolation: Geometry of Maximally Packed Dimer Models and Topologically Protected Zero Modes on Site-Diluted Bipartite Lattices by Ritesh Bhola, Sounak Biswas, Md Mursalin Islam, Kedar Damle

“…Our results imply the existence of a monomer percolation transition in the classical statistical mechanics of the associated maximally packed dimer model and the existence of a phase with area-law entanglement entropy of arbitrary many-body eigenstates of the corresponding quantum dimer model. …”
Get full text

Rigorous theory of molecular orientational nonlinear optics by Chong Hoon Kwak, Gun Yeup Kim

“…Classical statistical mechanics of the molecular optics theory proposed by Buckingham [A. …”
Get full text

Topological dualities via tensor networks by C. Wille, J. Eisert, A. Altland

“…This duality is remarkable in as much as it connects systems commonly associated to different areas of physics—that of long-range entangled topological order, (topological) band insulators, and classical statistical mechanics, respectively. Connecting fermionic and bosonic systems, the duality construction is intrinsically nonlocal, a complication that has been addressed in a plethora of different approaches, including dimensional reduction to one dimension, conformal field theory methods, and operator algebra. …”
Get full text

A computational toolbox for the assembly yield of complex and heterogeneous structures by Agnese I. Curatolo, Ofer Kimchi, Carl P. Goodrich, Ryan K. Krueger, Michael P. Brenner

“…Our algorithm combines classical statistical mechanics with recently developed computational tools for automatic differentiation. …”
Get full text

Critical Behavior in Physics and Probabilistic Formal Languages by Lin, Henry, Tegmark, Max, Tegmark, Max Erik

“…This result about formal languages is closely related to a well-known result in classical statistical mechanics that there are no phase transitions in dimensions fewer than two. …”
Get full text
Get full text

8.334 Statistical Mechanics II, Spring 2003 by Levitov, Leonid

“…Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. …”
Get full text

8.334 Statistical Mechanics II: Statistical Mechanics of Fields, Spring 2004 by Kardar, Mehran

“…Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. …”
Get full text

Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage by Xun Gao, Marcin Kalinowski, Chi-Ning Chou, Mikhail D. Lukin, Boaz Barak, Soonwon Choi

“…We quantitatively explain the success of our algorithm and the limitations of the XEB by using a theoretical framework, in which the dynamics of the average XEB and fidelity are mapped to classical statistical mechanics models. Using this framework, we illustrate the relation between the XEB and the fidelity for quantum circuits in various architectures, with different choices of gate sets, and in the presence of noise. …”
Get full text

The edge of thermodynamics : driven steady states in physics and biology by Marsland, Robert Alvin, III

Get full text

Physical Models and Statistical Methods for Understanding Electrochemical Kinetics by Limaye, Aditya Madan

“…The physical models I develop are grounded in the framework of classical statistical mechanics. In Chapter 2, I develop an extension to the classical Marcus kinetic theory of electron transfer that accounts for diffusive transport effects in the electrochemical double layer. …”
Get full text

The New Theory of Electron Gas in a Magnetic Field and Tasks for Theory and Experiment by I. M. Dubrovskyi

“…The magnetic moment of gas equals to zero in the conventional theory just as in a classical statistical mechanics as well as in a quantum statistical mechanics, when the summation over the occupied states is replaced by the integration. …”
Get full text

8.333 Statistical Mechanics, Fall 2002 by Todadri, Senthil

“…Postulates of classical statistical mechanics, micro canonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. …”
Get full text

Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems by Anatolij K. Prykarpatski

“…In addition, the classical Wigner type current algebra representation and its application to non-equilibrium classical statistical mechanics are described, and the construction of the Lie–Poisson structure on the phase space of the infinite hierarchy of distribution functions is presented. …”
Get full text

Non-Equilibrium Wigner Function and Application to Model of Catalyzed Polymerization by Ramon F. Alvarez-Estrada

“…The atom, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mi>e</mi></mrow></semantics></math></inline-formula>, and catalyst move randomly as solutions in a fluid at rest in thermal equilibrium. Classical statistical mechanics describe the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mi>e</mi></mrow></semantics></math></inline-formula> and catalyst approximately. …”
Get full text