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Approximate analytical solutions of the Boltzmann equation for particles that are either extremely relativistic or non-relativistic when they decouple from the thermal bath are well established. However, no analytical formula for the relic…

High Energy Physics - Phenomenology · Physics 2009-09-02 Manuel Drees , Mitsuru Kakizaki , Suchita Kulkarni

In a previous paper \cite{Khlopov:2007ic}, we showed how the minimal walking technicolor model (WTC) can provide a composite dark matter candidate, by forming bound states between a -2 electrically charged techniparticle and a $^4He^{++}$.…

Astrophysics · Physics 2008-11-26 Maxim Yu. Khlopov , Chris Kouvaris

In this short survey we compare aspects of two different approaches for scaling limits of interacting particle systems, the hydrodynamic limit and the high density limit. We present some examples, comments and open problems on each approach…

Probability · Mathematics 2014-01-16 Tertuliano Franco

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

Quantum Physics · Physics 2015-08-26 Johan F. Triana

In this work we complete a model independent analysis of dark matter constraining its mass and interaction strengths with data from astro- and particle physics experiments. We use the effective field theory framework to describe…

High Energy Physics - Phenomenology · Physics 2015-06-19 Csaba Balázs , Tong Li , Jayden L. Newstead

We provide a general framework for self-interacting warm dark matter (WDM) in cosmological perturbations, by deriving from first principles a Boltzmann hierarchy which retains certain independence from a particular interaction Lagrangian.…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-28 Rafael Yunis , Carlos R. Argüelles , Diana López Nacir

Topological order has become a new paradigm to distinguish ground states of interacting many-body systems without conventional long-range order. Here we discuss possible extensions of this concept to density matrices describing statistical…

Quantum Physics · Physics 2017-02-08 Fabian Grusdt

Various sum rules accounting for the coupling between density and particle excitations and emphasizing in an explicit way the role of the Bose-Einstein condensation are discussed. Important consequences on the fluctuations of the particle…

Condensed Matter · Physics 2007-05-23 S. Stringari

We reconsider non-thermal production of WIMP dark matter in a systematic way and using a numerical code for accurate computations of dark matter relic densities. Candidates with large pair annihilation rates are favored, suggesting a…

High Energy Physics - Phenomenology · Physics 2015-06-03 Giorgio Arcadi , Piero Ullio

We investigate a kinetic model for interacting particles whose masses are integer multiples of an elementary mass. These particles undergo binary collisions which preserve momentum and energy but during which some number of elementary…

Mathematical Physics · Physics 2024-01-10 Pierre Degond , Jian-Guo Liu

Low-order perturbation corrections to the electronic grand potential, internal energy, chemical potential, and entropy of a gas of noninteracting, identical molecules at a nonzero temperature are determined numerically as the…

Chemical Physics · Physics 2019-10-21 Punit K. Jha , So Hirata

If the dark matter mass exceeds the highest temperature of the thermal bath, then dark matter production is Boltzmann suppressed. This opens new possibilities for dark matter model building. In particular, WIMP models that are…

High Energy Physics - Phenomenology · Physics 2026-04-02 Nicolás Bernal , Sagnik Mukherjee , James Unwin

We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation.…

Analysis of PDEs · Mathematics 2020-05-20 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We consider the effect of non-reciprocity in a binary mixture of self-propelled particles with anti-aligning interactions, where a particle of type A reacts differently to a particle of type B than vice versa. Starting from a well-known…

Statistical Mechanics · Physics 2025-10-03 Jakob Mihatsch , Thomas Ihle

We consider dark matter consisting of weakly interacting massive particles (WIMPs) and revisit in detail its thermal evolution in the early universe, with a particular focus on models where the annihilation rate is enhanced by the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Laura G. van den Aarssen , Torsten Bringmann , Yasar C. Goedecke

It is shown that the density of two {\it initially independent} condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Using many-body theory, explicit expressions…

Other Condensed Matter · Physics 2007-05-23 L. S. Cederbaum , A. I. Streltsov , Y. B. Band , O. E. Alon

The nature of dark matter (DM) and how it might interact with the particles of the Standard Model (SM) is one of greatest mysteries currently facing particle physics, and addressing these issues should provide some understanding of how the…

High Energy Physics - Phenomenology · Physics 2020-10-15 Thomas D. Rueter , Thomas G. Rizzo , JoAnne L. Hewett

Amorphous media at finite temperatures, be them liquids, colloids or glasses, are made of interacting particles that move chaotically due to thermal energy, colliding and scattering continuously off each other. When the average…

Soft Condensed Matter · Physics 2017-06-27 Edan Lerner , Yoav G. Pollack , Itamar Procaccia , Birte Riechers

A recent solution of the inelastic Boltzmann equation that applies for strong dissipation and takes into account non-equipartition of energy is used to derive an explicit expression for the thermal diffusion factor. This parameter provides…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

We generalize thermal WIMP (Weakly Interacting Massive Particle) freeze-out within Tsallis nonextensive statistics. Using Curado-Tsallis $q$-distributions $f_q(E;\mu,T)$ we compute $q$-deformed number and energy densities, pressure, entropy…

High Energy Physics - Phenomenology · Physics 2026-02-06 Matias P. Gonzalez , Roberto A. Lineros