A Modern Course in Statistical Physics

Reichl, L. E.

doi:10.1002/9783527690497

Cited by 253 publications

(277 citation statements)

References 0 publications

Supporting

Mentioning

270

Contrasting

Unclassified

Order By: Relevance

“…2.3 (where there was no noise-induced selection), they become very important here, featuring as they do in Eq. (52). We find…”

Section: Two-species Lotka-volterra Type Modelsmentioning

confidence: 70%

“…Assumptions either made the analysis difficult to follow or were not thought to be widely applicable, and many further studies of this kind followed which made a different set of assumptions. These, and further discussions and analysis, can be found in the book by Rousset [57], while more recent results that utilise probability generating functions [52] are developed in [34].…”

Section: The D-island Moran Modelmentioning

confidence: 99%

See 1 more Smart Citation

Exploiting Fast-Variables to Understand Population Dynamics and Evolution

Constable

McKane

2017

J Stat Phys

View full text Add to dashboard Cite

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are caused by individual events while the dynamics are described in terms of the time-evolution of a probability density function. In general, the application of the diffusion approximation still leaves a description that is quite complex. However, in many biological applications one or more of the processes happen slowly relative to the system's other processes, and the dynamics can be approximated as occurring within a slow low-dimensional subspace. We review these time-scale separation arguments and analyse the more simple stochastic dynamics that result in a number of cases. We stress that it is important to retain the demographic noise derived in this way, and emphasise this point by showing that it can alter the direction of selection compared to the prediction made from an analysis of the corresponding deterministic model.

show abstract

“…2.3 (where there was no noise-induced selection), they become very important here, featuring as they do in Eq. (52). We find…”

Section: Two-species Lotka-volterra Type Modelsmentioning

confidence: 70%

Section: The D-island Moran Modelmentioning

confidence: 99%

Exploiting Fast-Variables to Understand Population Dynamics and Evolution

Constable

McKane

2017

J Stat Phys

View full text Add to dashboard Cite

show abstract

“…Theoretically, thermally fluctuating mesoscopic flows are most conveniently dealt within the framework of fluctuating hydrodynamics [4,5]. This approach, pioneered by Landau and Lifshitz for simple fluids, promotes the non-equilibrium fluxes to stochastic variables, thereby enabling their statistical mechanical description.…”

Section: Introductionmentioning

confidence: 99%

Fluctuating multicomponent lattice Boltzmann model

et al. 2015

View full text Add to dashboard Cite

where ρt = ρ + ρ ′ is the total density, ρ = ρtC the density of the first species, ρ ′ = (1 − C)ρ the density of the second species, P = P (ρt, C) the equation of state and µ = µ(ρt, C) the chemical potential driving diffusion of one species into the other. The capital Greek letters denote stochastic diffusion and momentum fluxes whose variance is fixed by the FDT to be (the superscript T denotes transposition)

show abstract

“…(9). Following the standard approach for solving the Boltzmann equation [35], we first solve Eqs. (15) and (17) for the perturbed distributions pσ and then substitute them into Eq.…”

Section: A Response To Generic Spin-dependent Forcesmentioning

confidence: 99%

Spin-heat relaxation and thermospin diffusion in atomic Bose and Fermi gases

2015

View full text Add to dashboard Cite

We study spin-dependent heat transport in quantum gases, focusing on transport phenomena related to pure spin currents and spin-dependent temperatures. Using the Boltzmann equation, we compute the coupled spin-heat transport coefficients as a function of temperature and interaction strength for energy-dependent s-wave scattering. We address the issue of whether spin-dependent temperatures can be sustained on a time and length scale relevant for experiments by computing the spin-heat relaxation time and diffusion length. We find that the time scale for spin-heat relaxation time diverges at low temperatures for both bosons and fermions, indicating that the concept of spin-heat accumulation is well defined for degenerate gases. For bosons, we find power-law behavior on approach to Bose condensation above the critical temperature, as expected from the theory of dynamical critical phenomena.

show abstract

A Modern Course in Statistical Physics

Cited by 253 publications

References 0 publications

Exploiting Fast-Variables to Understand Population Dynamics and Evolution

Exploiting Fast-Variables to Understand Population Dynamics and Evolution

Fluctuating multicomponent lattice Boltzmann model

Spin-heat relaxation and thermospin diffusion in atomic Bose and Fermi gases

Contact Info

Product

Resources

About