AI 中文总结
该研究以D3/D7模型为基础,探究非平衡稳态中电流驱动三临界点的临界指数,发现固定有效温度与热浴温度之比时临界指数符合朗道理论,否则需扩展朗道理论。
AI 中文摘要
我们研究了由D3/D7模型描述的非平衡稳态中,与手征对称性破缺相关的电流驱动三临界点(TCP)处的临界指数(γ, ν)。在对称破缺相中,我们发现,与传统朗道理论不同,γ和ν均可取与朗道理论预测值不同的数值,且依赖于在相图中趋近TCP的路径。然而,当以有效温度与热浴温度之比T*/T固定的方式趋近TCP时,临界指数与朗道理论的临界指数一致。这些结果表明,沿T*/T固定的路径,电流驱动TCP处的临界现象可由朗道理论描述;而沿任意路径对临界现象进行更普适的描述,则需要对朗道理论进行非平凡扩展。
英文摘要
We investigate the critical exponents $(γ,ν)$ at the current-driven tricritical point (TCP) associated with chiral symmetry breaking in a nonequilibrium steady state described by the D3/D7 model. In the symmetry-broken phase, we find that, unlike in the conventional Landau theory, both $γ$ and $ν$ can take values different from those predicted by the Landau theory and depend on the path along which the TCP is approached in the phase diagram. However, when the TCP is approached with the ratio of the effective temperature to the heat bath temperature, $T_{*}/T$, held fixed, the critical exponents agree with those of the Landau theory. These results suggest that the critical phenomena at the current-driven TCP may be described by the Landau theory along the $T_{*}/T$-fixed line, whereas a nontrivial extension of the Landau theory is required for a more general description of the critical phenomena along arbitrary paths.
Comments20 pages, 9 figures