title: Variance anisotropy in kinetic plasmas

authors: Parashar, Tulasi N.

subjects: Science & Technology

abstract: Solar wind fluctuations admit well-documented anisotropies of the variance matrix, or polarization, related to the mean magnetic field direction. Typically, one finds a ratio of perpendicular variance to parallel variance of the order of 9:1 for the magnetic field. Here we study the question of whether a kinetic plasma spontaneously generates and sustains parallel variances when initiated with only perpendicular variance. We find that parallel variance grows and saturates at about 5% of the perpendicular variance in a few nonlinear times irrespective of the Reynolds number. For sufficiently large systems (Reynolds numbers) the variance approaches values consistent with the solar wind observations.

text: Variance anisotropy in kinetic plasmas Solar wind fluctuations admit well-documented anisotropies of the variance matrix, or polarization, related to the mean magnetic field direction. Typically, one finds a ratio of perpendicular variance to parallel variance of the order of 9:1 for the magnetic field. Here we study the question of whether a kinetic plasma spontaneously generates and sustains parallel variances when initiated with only perpendicular variance. We find that parallel variance grows and saturates at about 5% of the perpendicular variance in a few nonlinear times irrespective of the Reynolds number. For sufficiently large systems (Reynolds numbers) the variance approaches values consistent with the solar wind observations.

year: 2016-06-10

title: Exact solutions for steady state incompressible magnetic reconnection

authors: Craig, Ian J.D.

abstract: The problem of steady state magnetic reconnection in incompressible, resistive plasmas is addressed. It is shown that families of exact analytic solutions can be derived by exploiting the formal symmetry between the magnetic field lines and the streamlines of the flow. These solutions, while incorporating previous models for antiparallel magnetic merging, assume no inherent topological symmetry for the reconnective geometry. It is demonstrated that fast reconnection occurs within a narrow X-type configuration defined by the intersection of two separatrix lines. One separatrix line is undistinguished physically, but the other is contiguous with a global current sheet across which there is no plasma flow. The implication is that fast reconnection is more likely to be associated with strong shearing motions close to the neutral point rather than with the conventional stagnation point flow topology.

text: Exact solutions for steady state incompressible magnetic reconnection The problem of steady state magnetic reconnection in incompressible, resistive plasmas is addressed. It is shown that families of exact analytic solutions can be derived by exploiting the formal symmetry between the magnetic field lines and the streamlines of the flow. These solutions, while incorporating previous models for antiparallel magnetic merging, assume no inherent topological symmetry for the reconnective geometry. It is demonstrated that fast reconnection occurs within a narrow X-type configuration defined by the intersection of two separatrix lines. One separatrix line is undistinguished physically, but the other is contiguous with a global current sheet across which there is no plasma flow. The implication is that fast reconnection is more likely to be associated with strong shearing motions close to the neutral point rather than with the conventional stagnation point flow topology.

year: 1995

title: Ngāti Whakaue Māngai Nui

authors: Hiini, Anaha Te Wheoro

subjects: Ngāti Whakaue Māngai Nui

abstract: Ko Ngāti Whakaue tētehi iwi ahurei o te waka o Te Arawa.  Ko tētehi taha ōna kei ngā tahataha o te kōroto moana o Te Rotorua-nui-a-Kahumatamomoe, i Waingaehe ki Waimihia.  Ko tētehi atu taha ōna kei te ūnga o te waka rongomaiwhiti o Te Arawa, arā ki Maketū.  
Kua whai mana a Ngāti Whakaue i ngā rautau e tū whakahīhī ai rātau hei iwi mana nui i ō rātau pūkenga me ō rātau pūmanawa kia mau tonu tō rātau Whakauetanga, tō rātau ahurea me ā rātau tikanga.   Ko tētehi pūkenga pēnei i te āheinga ki te whakairo i te kupu rōreka, ki te tuitui i te kōrero i whakaputaina ai te kōrero ‘Te Arawa Māngai Nui’.  He mea whakapuaki te kōrero rā e iwi kē ki te whakanui i ngā pūkōrero o ngā paepae o Te Arawa, ka mutu, koirā hoki tētehi pūkenga i hau ai te rongo o Ngāti Whakaue.  
Nā, ko te pūkenga e kōrerohia nei, ko te reo o Ngāti Whakaue.  Ko tōna oranga tonutanga te kaupapa matua o tēnei tuhinga e rangahaua ana i te putanga o te kōrero a tētehi o ngā koroua matatau o te iwi i te tau 1992, arā a Hamuera Mitchell, nāna tonu nei i whakapuaki ‘Ka mate te reo o Ngāti Whakaue ā te tekau tau’.  

Nō reira, he whakatewhatewhahanga tēnei tuhinga o te reo o Ngāti Whakaue o tua, o mohoa noa nei hoki kia mōhiotia ai te oranga, te matenga haeretanga rānei o te reo o te iwi, o ngā hapū, o te hapori, o te kāinga o nāianei, kia tau hoki mehemea āe rānei kua whai hua ngā rautaki reo o mua a Ngāti Whakaue ki te whakarauora i tōna ake reo, ā, ka aha te iwi e anga whakamua ai.  Ka mātaitia te āhua o te reo o Ngāti Whakaue kia mōhiotia mehemea i tika tā Hamera Mitchell i kī ai i te tau 1992, karekau rānei, mehemea rānei he wero kē nāna kia kaua e tukuna e te iwi o Ngāti Whakaue tō rātau reo kia mate.

Ko te tikanga rangahau Pākehā, ko te tikanga rangahau Māori, me ngā tikanga ako reo ka kaha mātaitia i tēnei tuhinga kia tika ai te kohinga o ngā raraunga o tēnei momo rangahau, ngā tikanga matatika a te wānanga, ngā tukanga tātari me te whakahōrapatanga atu i ngā whakataunga o te rangahau.  

Hei āpiti atu, ka kōrerohia ngā kaupapa mātauranga a Ngāti Whakaue, tae noa atu ki ngā tini kaupapa whakarauora reo a te iwi kua whakahaerehia mai i te tau 2005 ki ēnei rangi tonu nei mō te oranga o te reo o Ngāti Whakaue te take e anga tōtika atu ai ki te wetenga o te rautaki reo o mua a Ngāti Whakaue i whakahaerehia ai i ngā tau 2013 ki te tau 2017 i kitea ai ōna pikinga, ōna hekenga, ōna ngoikoretanga me ōna hua.  

Heoi anō, hei whaiwhai noa ake i te rautaki o mua nei, ko ngā mātātuhi kua mahue iho rā, ko te korenga o ngā arotakenga, ko te korenga o ngā pūrongo, ko te korenga o ētehi taunakitanga ā-tuhi nei, ko te korenga o tētehi aha kē atu rānei kia kitea he hua, he pikinga, he hekenga, he aha rānei.  Ahakoa tērā raru, nā te kitenga me te rongotanga o te pikinga haeretanga o te āhua o te reo, nā ngā kōrero ā-waha me ngā kauhau a ētehi mō ngā hua i puta ai i te rautaki reo o mua a Ngāti Whakaue i mana ai te whakahaumanutanga o te reo o ngā paepae o te iwi.

Nā te mea ko te reo Māori te remurere o te kaituhi nei, kua tekau mā waru tau ia e whai ana i te kaupapa i a ia e whakaako ana, i a ia e wānanga ana, i a ia hoki e whakapau kaha ana ki te whakaora anō i te reo Māori, kua whakaritea e ia tētehi rautaki reo hou e toru tekau tau te roa hei kōkiri mā te iwi e ora rawa atu anō ai te reo o Ngāti Whakaue, e whai hua anō ai hoki te whakapuakitanga o te kōrero rā ‘Te Arawa Māngai Nui’, hei tohu whakanui i ngā pūkenga kōrero o te iwi.

E ai ki te kōrero, ‘he tīmohea kua pakari’.  Nā roto i te āta rangahaua o te kaupapa nei i mōhio ai e ora tonu nei te reo o Ngāti Whakaue, heoi, kāore e pērā rawa te kaha o te oranga i te wā i a kui mā, i a koro mā.  Ahakoa te kōrero mō te matenga haeretanga o te reo o Ngāti Whakaue, nā ngā kaupapa whakaora reo a te iwi i ngā tau i piki anō ai te oranga o te reo, ka mutu, mā te whakahaerenga tonutanga o ngā wānanga nei e ora tonu anō ai te reo.

text: Ngāti Whakaue Māngai Nui Ko Ngāti Whakaue tētehi iwi ahurei o te waka o Te Arawa.  Ko tētehi taha ōna kei ngā tahataha o te kōroto moana o Te Rotorua-nui-a-Kahumatamomoe, i Waingaehe ki Waimihia.  Ko tētehi atu taha ōna kei te ūnga o te waka rongomaiwhiti o Te Arawa, arā ki Maketū.  
Kua whai mana a Ngāti Whakaue i ngā rautau e tū whakahīhī ai rātau hei iwi mana nui i ō rātau pūkenga me ō rātau pūmanawa kia mau tonu tō rātau Whakauetanga, tō rātau ahurea me ā rātau tikanga.   Ko tētehi pūkenga pēnei i te āheinga ki te whakairo i te kupu rōreka, ki te tuitui i te kōrero i whakaputaina ai te kōrero ‘Te Arawa Māngai Nui’.  He mea whakapuaki te kōrero rā e iwi kē ki te whakanui i ngā pūkōrero o ngā paepae o Te Arawa, ka mutu, koirā hoki tētehi pūkenga i hau ai te rongo o Ngāti Whakaue.  
Nā, ko te pūkenga e kōrerohia nei, ko te reo o Ngāti Whakaue.  Ko tōna oranga tonutanga te kaupapa matua o tēnei tuhinga e rangahaua ana i te putanga o te kōrero a tētehi o ngā koroua matatau o te iwi i te tau 1992, arā a Hamuera Mitchell, nāna tonu nei i whakapuaki ‘Ka mate te reo o Ngāti Whakaue ā te tekau tau’.  

Nō reira, he whakatewhatewhahanga tēnei tuhinga o te reo o Ngāti Whakaue o tua, o mohoa noa nei hoki kia mōhiotia ai te oranga, te matenga haeretanga rānei o te reo o te iwi, o ngā hapū, o te hapori, o te kāinga o nāianei, kia tau hoki mehemea āe rānei kua whai hua ngā rautaki reo o mua a Ngāti Whakaue ki te whakarauora i tōna ake reo, ā, ka aha te iwi e anga whakamua ai.  Ka mātaitia te āhua o te reo o Ngāti Whakaue kia mōhiotia mehemea i tika tā Hamera Mitchell i kī ai i te tau 1992, karekau rānei, mehemea rānei he wero kē nāna kia kaua e tukuna e te iwi o Ngāti Whakaue tō rātau reo kia mate.

Ko te tikanga rangahau Pākehā, ko te tikanga rangahau Māori, me ngā tikanga ako reo ka kaha mātaitia i tēnei tuhinga kia tika ai te kohinga o ngā raraunga o tēnei momo rangahau, ngā tikanga matatika a te wānanga, ngā tukanga tātari me te whakahōrapatanga atu i ngā whakataunga o te rangahau.  

Hei āpiti atu, ka kōrerohia ngā kaupapa mātauranga a Ngāti Whakaue, tae noa atu ki ngā tini kaupapa whakarauora reo a te iwi kua whakahaerehia mai i te tau 2005 ki ēnei rangi tonu nei mō te oranga o te reo o Ngāti Whakaue te take e anga tōtika atu ai ki te wetenga o te rautaki reo o mua a Ngāti Whakaue i whakahaerehia ai i ngā tau 2013 ki te tau 2017 i kitea ai ōna pikinga, ōna hekenga, ōna ngoikoretanga me ōna hua.  

Heoi anō, hei whaiwhai noa ake i te rautaki o mua nei, ko ngā mātātuhi kua mahue iho rā, ko te korenga o ngā arotakenga, ko te korenga o ngā pūrongo, ko te korenga o ētehi taunakitanga ā-tuhi nei, ko te korenga o tētehi aha kē atu rānei kia kitea he hua, he pikinga, he hekenga, he aha rānei.  Ahakoa tērā raru, nā te kitenga me te rongotanga o te pikinga haeretanga o te āhua o te reo, nā ngā kōrero ā-waha me ngā kauhau a ētehi mō ngā hua i puta ai i te rautaki reo o mua a Ngāti Whakaue i mana ai te whakahaumanutanga o te reo o ngā paepae o te iwi.

Nā te mea ko te reo Māori te remurere o te kaituhi nei, kua tekau mā waru tau ia e whai ana i te kaupapa i a ia e whakaako ana, i a ia e wānanga ana, i a ia hoki e whakapau kaha ana ki te whakaora anō i te reo Māori, kua whakaritea e ia tētehi rautaki reo hou e toru tekau tau te roa hei kōkiri mā te iwi e ora rawa atu anō ai te reo o Ngāti Whakaue, e whai hua anō ai hoki te whakapuakitanga o te kōrero rā ‘Te Arawa Māngai Nui’, hei tohu whakanui i ngā pūkenga kōrero o te iwi.

E ai ki te kōrero, ‘he tīmohea kua pakari’.  Nā roto i te āta rangahaua o te kaupapa nei i mōhio ai e ora tonu nei te reo o Ngāti Whakaue, heoi, kāore e pērā rawa te kaha o te oranga i te wā i a kui mā, i a koro mā.  Ahakoa te kōrero mō te matenga haeretanga o te reo o Ngāti Whakaue, nā ngā kaupapa whakaora reo a te iwi i ngā tau i piki anō ai te oranga o te reo, ka mutu, mā te whakahaerenga tonutanga o ngā wānanga nei e ora tonu anō ai te reo.

year: 2020